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Journal articles on the topic 'Entropic Time'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Pacheco Hernández, Patricio, Eduardo Mera Garrido, and Gustavo Navarro Ahumada. "Fractal Dimension Time Series and Interaction Between Entropic Surfaces of Urban Meteorology and Pollutants in a Geographic Basin: Dynamic Effects, Thermal Flows and Anomalous Diffusion." Fractal and Fractional 9, no. 2 (2025): 114. https://doi.org/10.3390/fractalfract9020114.

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In three periods of 3.25 years each, and at the same six different heights of a basin geomorphology, measurements were made, in the form of a time series, of urban meteorological variables (MV) (temperature, relative humidity, wind speed magnitude) and pollutants (P) (PM10, PM2.5, and CO). It is verified that each time series has a fractal dimension, and the value of its maximum Kolmogorov entropy is determined. These values generate two entropic surfaces according to measurement periods: one for urban meteorology and another for pollutants. The calculation of the gradient to each entropic sur

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Curado, Evaldo M. F., and Fernando D. Nobre. "Non-Additive Entropic Forms and Evolution Equations for Continuous and Discrete Probabilities." Entropy 25, no. 8 (2023): 1132. http://dx.doi.org/10.3390/e25081132.

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Increasing interest has been shown in the subject of non-additive entropic forms during recent years, which has essentially been due to their potential applications in the area of complex systems. Based on the fact that a given entropic form should depend only on a set of probabilities, its time evolution is directly related to the evolution of these probabilities. In the present work, we discuss some basic aspects related to non-additive entropies considering their time evolution in the cases of continuous and discrete probabilities, for which nonlinear forms of Fokker–Planck and master equat

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Kolesnichenko, Aleksandr Vladimirovich, and Mikhail Yakovlevich Marov. "Scenario of accelerated universe expansion under exposure to entropic forces related to with the entropies of Barrow and Tsallis−Cirto." Mathematica Montisnigri 50 (2021): 80–103. http://dx.doi.org/10.20948/mathmontis-2021-50-8.

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In the work within the framework of "entropic cosmology", the scenario of the cosmological accelerated expansion of a flat, homogeneous and isotropic Universe under the influence of entropic forces is considered without the concept of dark energy a hypothetical medium with negative pressure. Assuming that the horizon of the Universe has its own temperature and entropy, which arises during the holographic storage of information on the screen of the horizon surface, the entropy models of the Universe associated with the BekensteinHawking entropy and the non-extensive Barrow and Tsallis–Cirto e

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Lenzi, Ervin K., Michely P. Rosseto, Derik W. Gryczak, et al. "Generalized Kinetic Equations with Fractional Time-Derivative and Nonlinear Diffusion: H-Theorem and Entropy." Entropy 26, no. 8 (2024): 673. http://dx.doi.org/10.3390/e26080673.

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We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion. When the H-theorem is satisfied, we demonstrate that different entropic forms may emerge due to the equation’s nonlinearity. We obtain the entropy production related to these entropies and show that its form remains invariant. Furthermore, we investigate some behaviors for these equations from both numerical and analytical perspectives, showing a large class of behaviors connected with anomalous diffusion and their effects on entropy.

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Pessoa, Pedro, Felipe Xavier Costa, and Ariel Caticha. "Entropic Dynamics on Gibbs Statistical Manifolds." Entropy 23, no. 5 (2021): 494. http://dx.doi.org/10.3390/e23050494.

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Entropic dynamics is a framework in which the laws of dynamics are derived as an application of entropic methods of inference. Its successes include the derivation of quantum mechanics and quantum field theory from probabilistic principles. Here, we develop the entropic dynamics of a system, the state of which is described by a probability distribution. Thus, the dynamics unfolds on a statistical manifold that is automatically endowed by a metric structure provided by information geometry. The curvature of the manifold has a significant influence. We focus our dynamics on the statistical manif

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Huang, Zhiming, Xiaobin Wang, Yiyong Ye, Xiaokui Sheng, Zhenbang Rong, and Dequan Ling. "Quantum-memory-assisted entropic uncertainty in fluctuating electromagnetic field with a boundary." Modern Physics Letters A 34, no. 17 (2019): 1950099. http://dx.doi.org/10.1142/s0217732319500998.

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In this work, we investigate the dynamics of quantum-memory-assisted entropic uncertainty relation for a two-level atom coupled with fluctuating electromagnetic field in the presence of a perfectly reflecting plane boundary. The solution of the master equation that governs the system evolution is derived. We find that entropic uncertainty and mixedness increase to a stable value with evolution time, but quantum correlation reduces to zero with evolution time. That is, the mixedness is positively associated with entropic uncertainty, however, increasing quantum correlation can cause the decreas

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7

Kadlub, Eugene A. "Time: Language and Substance." Perceptual and Motor Skills 83, no. 3 (1996): 903–13. http://dx.doi.org/10.2466/pms.1996.83.3.903.

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Concluding that every system (regardless of size and complexity) is the locus of its own space-time led to the development of a time construct that gives temporal measure to system entropic contribution.

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8

Hall, Michael J. W. "Better Heisenberg Limits, Coherence Bounds, and Energy-Time Tradeoffs via Quantum Rényi Information." Entropy 24, no. 11 (2022): 1679. http://dx.doi.org/10.3390/e24111679.

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An uncertainty relation for the Rényi entropies of conjugate quantum observables is used to obtain a strong Heisenberg limit of the form RMSE≥f(α)/(⟨N⟩+12), bounding the root mean square error of any estimate of a random optical phase shift in terms of average photon number, where f(α) is maximised for non-Shannon entropies. Related simple yet strong uncertainty relations linking phase uncertainty to the photon number distribution, such as ΔΦ≥maxnpn, are also obtained. These results are significantly strengthened via upper and lower bounds on the Rényi mutual information of quantum communicati

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9

Sunol, Alp M., and Roseanna N. Zia. "Confined Brownian suspensions: Equilibrium diffusion, thermodynamics, and rheology." Journal of Rheology 67, no. 2 (2023): 433–60. http://dx.doi.org/10.1122/8.0000520.

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We examine the impact of confinement on the structure, dynamics, and rheology of spherically confined macromolecular suspensions, with a focus on the role played by entropic forces, by comparing the limits of strong hydrodynamics and no hydrodynamics. We present novel measurements of the osmotic pressure, intrinsic viscosity, and long-time self-diffusivity in spherical confinement and find confinement induces strong structural correlations and restrictions on configurational entropy that drive up osmotic pressure and viscosity and drive down self-diffusion. Even in the absence of hydrodynamics

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Inoue, Kei. "An Improved Calculation Formula of the Extended Entropic Chaos Degree and Its Application to Two-Dimensional Chaotic Maps." Entropy 23, no. 11 (2021): 1511. http://dx.doi.org/10.3390/e23111511.

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The Lyapunov exponent is primarily used to quantify the chaos of a dynamical system. However, it is difficult to compute the Lyapunov exponent of dynamical systems from a time series. The entropic chaos degree is a criterion for quantifying chaos in dynamical systems through information dynamics, which is directly computable for any time series. However, it requires higher values than the Lyapunov exponent for any chaotic map. Therefore, the improved entropic chaos degree for a one-dimensional chaotic map under typical chaotic conditions was introduced to reduce the difference between the Lyap

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11

Inoue, Kei. "Analysis of Chaotic Dynamics by the Extended Entropic Chaos Degree." Entropy 24, no. 6 (2022): 827. http://dx.doi.org/10.3390/e24060827.

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The Lyapunov exponent is the most-well-known measure for quantifying chaos in a dynamical system. However, its computation for any time series without information regarding a dynamical system is challenging because the Jacobian matrix of the map generating the dynamical system is required. The entropic chaos degree measures the chaos of a dynamical system as an information quantity in the framework of Information Dynamics and can be directly computed for any time series even if the dynamical system is unknown. A recent study introduced the extended entropic chaos degree, which attained the sam

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12

Han, Ukmin, Hongseok Choi, Hyoseong Lee, and Hoseong Lee. "Inverse Heat Transfer Analysis Method to Determine the Entropic Coefficient of Reversible Heat in Lithium-Ion Battery." International Journal of Energy Research 2023 (February 3, 2023): 1–18. http://dx.doi.org/10.1155/2023/9929496.

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An entropic coefficient of reversible entropic heat is a key parameter in determining the battery thermal responses, but its measurement is challenging due to time consuming and inaccurate traditional methods. In this regard, an analytical approach based on the inverse heat transfer problem is newly proposed to precisely determine the entropic coefficient with low experiment cost. Experiments are conducted by discharging the battery under four different current rates to inversely estimate the entropic coefficients, and the least squares regression are conducted to optimize the derived entropic

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Zadehgol, Abed, and Mahmud Ashrafizaadeh. "A multiple relaxation time extension of the constant speed kinetic model." International Journal of Modern Physics C 27, no. 08 (2016): 1650088. http://dx.doi.org/10.1142/s0129183116500881.

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In this work, a multiple relaxation time (MRT) extension of the recently introduced constant speed kinetic model (CSKM) is proposed. The CSKM, which is an entropic kinetic model and based on unconventional entropies of Burg and Tssalis, was introduced in [A. Zadehgol and M. Ashrafizaadeh, J. Comput. Phys. 274, 803 (2014)]; [A. Zadehgol Phys. Rev. E 91, 063311 (2015)] as an extension of the model of Boghosian et al. [Phys. Rev. E 68, 025103 (2003)] in the limit of fixed speed continuous velocities. The present extension improves the stability of the previous models at very high Reynolds numbers

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Abchouyeh, Maryam Aghaei, Behrouz Mirza, and Fatemeh Sadeghi. "Dynamical behavior of the universe: An entropic force scenario." International Journal of Modern Physics D 28, no. 16 (2019): 2040007. http://dx.doi.org/10.1142/s0218271820400076.

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Entropic force originates in the assumption that there is a horizon for the universe. This horizon gives rise to additional terms in the equations of motion. Using dynamical system calculations, our results show that in the presence of dark energy for certain conditions, the last attractor of this theory will be dark energy epoch, but in the absence of dark energy, entropic force energy portion will have the lead role in the late time universe and is responsible for accelerated expansion of that. Interestingly, assuming both entropic force terms and dark energy to have their share of energy de

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Minina, Elena, and Axel Arnold. "Induction of entropic segregation: the first step is the hardest." Soft Matter 10, no. 31 (2014): 5836–41. http://dx.doi.org/10.1039/c4sm00286e.

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In confinement, overlapping polymers experience entropic segregating forces that tend to demix them. Breaking the initial symmetry requires a particular arrangement of the chain ends. This induction process is a rare event that dominates the time scale for long chains, making entropic segregation less efficient than previously thought.

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denis, olivier. "Entropic Information Theory: Formulae and Quantum Gravity; Bits from Bit." Physical Science International Journal 25, no. 9 (2021): 23–30. https://doi.org/10.9734/psij/2021/v25i930281.

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We show here that entropic information is capable of unifying all aspects of the universe at all scales in a coherent and global theoretical mathematical framework materialized by entropic information framework, theory and formulas, where dark matter, dark energy and gravity are truly informationals processes and where information is code and code is what creates the process, it is itself the process. Mass, energy and movement of information are respectively dark matter, dark energy, and gravity. Here, we reconcile general relativity and quantum mechanics by introducing quantum gravity for the

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17

Nsasra, Esraa, Irit Dahan, Jerry Eichler, and Ofer Yifrach. "It’s Time for Entropic Clocks: The Roles of Random Chain Protein Sequences in Timing Ion Channel Processes Underlying Action Potential Properties." Entropy 25, no. 9 (2023): 1351. http://dx.doi.org/10.3390/e25091351.

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In recent years, it has become clear that intrinsically disordered protein segments play diverse functional roles in many cellular processes, thus leading to a reassessment of the classical structure–function paradigm. One class of intrinsically disordered protein segments is entropic clocks, corresponding to unstructured random protein chains involved in timing cellular processes. Such clocks were shown to modulate ion channel processes underlying action potential generation, propagation, and transmission. In this review, we survey the role of entropic clocks in timing intra- and inter-molecu

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18

Yu Min and Guo You-Neng. "Regulation of entropic uncertainty relation in correlated channels with dephasing colored noise." Acta Physica Sinica 73, no. 21 (2024): 0. http://dx.doi.org/10.7498/aps.73.20241171.

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The uncertainty principle which restricts the observer’s ability to make precise measurements of two incompatible observables plays a crucial role in quantum precision measurement within the field of quantum information science. When quantum systems interact with their surroundings, they inevitably result in decoherence, which increases the uncertainty of the system. In the process of quantum information processing, the effective regulation of uncertainty becomes a key problem to be solved. In this work, we investigate the quantum-memory-assisted entropic uncertainty relation of a two-qubit sy

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Cieśla, Michał, Bartłomiej Dybiec, Monika Krasowska, and Anna Strzelewicz. "Drift Versus Entropic Forces in Overdamped Diffusion Through a Widening Channel." Molecules 30, no. 11 (2025): 2316. https://doi.org/10.3390/molecules30112316.

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This study examines the diffusion of spherical particles in a conical widening channel, with a focus on the effects of deterministic drift and entropic forces. Through numerical simulations, we analyze the motion of particles from a reflecting boundary to an absorbing one. Properties of diffusive motion are explored by inspection of mean squared displacement and mean first passage time. The results show that the diffusion type depends on the drift strength. Without the drift, entropic forces induce effective superdiffusion; however, the increasing drift strength can counterbalance entropic for

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20

Shen, Leo, and Robert Elliott. "Optimal Design of Dynamic Default Risk Measures." Journal of Applied Probability 49, no. 4 (2012): 967–77. http://dx.doi.org/10.1239/jap/1354716651.

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We consider the question of an optimal transaction between two investors to minimize their risks. We define a dynamic entropic risk measure using backward stochastic differential equations related to a continuous-time single jump process. The inf-convolution of dynamic entropic risk measures is a key transformation in solving the optimization problem.

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Shen, Leo, and Robert Elliott. "Optimal Design of Dynamic Default Risk Measures." Journal of Applied Probability 49, no. 04 (2012): 967–77. http://dx.doi.org/10.1017/s002190020001281x.

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We consider the question of an optimal transaction between two investors to minimize their risks. We define a dynamic entropic risk measure using backward stochastic differential equations related to a continuous-time single jump process. The inf-convolution of dynamic entropic risk measures is a key transformation in solving the optimization problem.

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22

GEERDINK, JOOST B. W., and ALFONS G. HOEKSTRA. "COMPARING ENTROPIC AND MULTIPLE RELAXATION TIMES LATTICE BOLTZMANN METHODS FOR BLOOD FLOW SIMULATIONS." International Journal of Modern Physics C 20, no. 05 (2009): 721–33. http://dx.doi.org/10.1142/s0129183109013947.

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We compare the Lattice BGK, the Multiple Relaxation Times and the Entropic Lattice Boltzmann Methods for time harmonic flows. We measure the stability, speed and accuracy of the three models for Reynolds and Womersley numbers that are representative for human arteries. The Lattice BGK shows predictable stability and is the fastest method in terms of lattice node updates per second. The Multiple Relaxation Times LBM shows erratic stability which depends strongly on the relaxation times set chosen and is slightly slower. The Entropic LBM gives the best stability at the price of fewer lattice nod

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Abedi, Mohammad, and Daniel Bartolomeo. "Entropic Dynamics of Exchange Rates and Options." Entropy 21, no. 6 (2019): 586. http://dx.doi.org/10.3390/e21060586.

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An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an inductive inference framework equipped with proper tools to handle situations where incomplete information is available. Entropic Dynamics is an application of entropic inference, which is equipped with the entropic notion of time to model dynamics. The scale invariance is a symmetry of the dynamics of exchange rates, which is manifested in our formalism. To ma

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Fagerholm, Erik D., Gregory Scott, Robert Leech, Federico E. Turkheimer, Karl J. Friston, and Milan Brázdil. "Mapping conservative Fokker–Planck entropy in neural systems." Journal of Physics D: Applied Physics 58, no. 14 (2025): 145401. https://doi.org/10.1088/1361-6463/adb318.

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Abstract Mapping the flow of information through the networks of the brain remains one of the most important challenges in computational neuroscience. In certain cases, this flow can be approximated by considering just two contributing factors—a predictable drift and a randomized diffusion. We show here that the uncertainty associated with such a drift-diffusion process can be calculated in terms of the entropy associated with the Fokker–Planck equation. This entropic evolution comprises two components: an irreversible entropic spread that always increases over time and a reversible entropic c

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Wilson, Mabel O. "Entropic Monuments." TOPIA: Canadian Journal of Cultural Studies 46 (April 1, 2023): 238–42. http://dx.doi.org/10.3138/topia-2022-0043.

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To join Dionne Brand in A Map to the Door of No Return is to take a journey divergent from the West’s well-worn genre of the epic that fetes great white men whose great risks meet with even greater rewards. By contrast, Brand sutures her transatlantic bricolage of time and space with disruptions and displacements. Her redactions and erasures illuminate the efficacy of forgetting in a world where the colonizers have frozen the historical time of Empire in marble, granite, and bronze.

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Kourkoulis, Stavros K., Ermioni Pasiou, Ilias Stavrakas, and Dimos Triantis. "Assessing structural integrity of non-homogeneous systems by means of Acoustic Emissions and Non-Extensive Statistical Mechanics." Frattura ed Integrità Strutturale 18, no. 68 (2024): 440–57. http://dx.doi.org/10.3221/igf-esis.68.29.

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Taking advantage of the interevent time intervals, namely the time intervals between two successive acoustic events recorded during mechanical loading of structural elements, it is attempted to detect indices warning about upcoming failure. The innovative aspect of the study is that the analysis is implemented in the frame of Non-Extensive Statistical Mechanics, a discipline founded on a class of entropies violating the additivity principle, which is the cornerstone of the Boltzmann-Gibbs Statistical Mechanics. The specimens used for the experiments were marble blocks simulating either fragmen

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Caticha, Ariel. "Entropic dynamics, time and quantum theory." Journal of Physics A: Mathematical and Theoretical 44, no. 22 (2011): 225303. http://dx.doi.org/10.1088/1751-8113/44/22/225303.

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LAGOUTIÈRE, FRÉDÉRIC. "LARGE TIME BEHAVIOR OF NUMERICAL SOLUTIONS OF SCALAR CONSERVATION LAWS." Journal of Hyperbolic Differential Equations 03, no. 04 (2006): 631–48. http://dx.doi.org/10.1142/s021989160600094x.

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We study the large time behavior of entropic approximate solutions to one-dimensional, hyperbolic conservation laws with periodic initial data. Under mild assumptions on the numerical scheme, we prove the asymptotic convergence of the discrete solutions to a time- and space-periodic solution.

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Madani, Seyed Saeed, Erik Schaltz, and Søren Knudsen Kær. "An Experimental Analysis of Entropic Coefficient of a Lithium Titanate Oxide Battery." Energies 12, no. 14 (2019): 2685. http://dx.doi.org/10.3390/en12142685.

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In order to understand the thermal behaviour of a lithium-ion battery, the heat generation within the cell should be determined. The entropic heat coefficient is necessary to determine for the heat generation calculation. The entropic heat coefficient is one of the most important factors, which affects the magnitude of the reversible heat. The purpose of this research is to analyze and investigate the effect of different parameters on the entropic coefficient of lithium titanate oxide batteries. In this research, a lithium ion pouch cell was examined in both charging and discharging situations

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Flood, Matthew W., and Bernd Grimm. "EntropyHub: An open-source toolkit for entropic time series analysis." PLOS ONE 16, no. 11 (2021): e0259448. http://dx.doi.org/10.1371/journal.pone.0259448.

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An increasing number of studies across many research fields from biomedical engineering to finance are employing measures of entropy to quantify the regularity, variability or randomness of time series and image data. Entropy, as it relates to information theory and dynamical systems theory, can be estimated in many ways, with newly developed methods being continuously introduced in the scientific literature. Despite the growing interest in entropic time series and image analysis, there is a shortage of validated, open-source software tools that enable researchers to apply these methods. To da

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Pacheco, Patricio, and Eduardo Mera. "Fractal Dimension of Pollutants and Urban Meteorology of a Basin Geomorphology: Study of Its Relationship with Entropic Dynamics and Anomalous Diffusion." Fractal and Fractional 9, no. 4 (2025): 255. https://doi.org/10.3390/fractalfract9040255.

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A total of 108 maximum Kolmogorov entropy (SK) values, calculated by means of chaos theory, are obtained from 108 time series (TSs) (each consisting of 28,463 hourly data points). The total TSs are divided into 54 urban meteorological (temperature (T), relative humidity (RH) and wind speed magnitude (WS)) and 54 pollutants (PM10, PM2.5 and CO). The measurement locations (6) are located at different heights and the data recording was carried out in three periods, 2010–2013, 2017–2020 and 2019–2022, which determines a total of 3,074,004 data points. For each location, the sum of the maximum entr

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Sobolev, Sergey L., and Igor V. Kudinov. "Extended Nonequilibrium Variables for 1D Hyperbolic Heat Conduction." Journal of Non-Equilibrium Thermodynamics 45, no. 3 (2020): 209–21. http://dx.doi.org/10.1515/jnet-2019-0076.

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AbstractWe use the Shannon (information) entropy to define an “entropic” temperature for 1D nonequilibrium system with heat flux. In contrast to the kinetic temperature, which is related to the average kinetic energy, the nonequilibrium entropic temperature is related to the changes in entropy and serves as a criterion for thermalization. However, the direction and value of the heat flux is controlled by the gradient of the kinetic temperature, whereas space-time evolution and the space-time evolution of the heat flux are governed by the hyperbolic heat conduction equation. The extended nonequ

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MATESANZ, DAVID, and GUILLERMO J. ORTEGA. "A (ECONOPHYSICS) NOTE ON VOLATILITY IN EXCHANGE RATE TIME SERIES." International Journal of Modern Physics C 19, no. 07 (2008): 1095–103. http://dx.doi.org/10.1142/s0129183108012789.

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We propose a volatility and uncertainty country ranking based on the entropic analysis of the real exchange rate dynamics. We show that this ranking is highly correlated with the volatility in the gross domestic product after events of currency crises. By comparing entropy with variance ranking we demonstrate that entropy measures better volatility effects of crises.

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TEDESCHINI-LALLI, LAURA. "LISTENING: SOUND STREAM AS A CLOCK." International Journal of Modern Physics B 18, no. 04n05 (2004): 793–800. http://dx.doi.org/10.1142/s0217979204024410.

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Sound happens in time. Human ears detect more objective regularities of a sonic flow, than those we are in general able to describe, yet. We review some studies of sound in the time-domain. Sound streams to be detected by human ears have a hierarchical organization. This can also be seen on the time-organization of entropic flow of the signal, that we choose as variable. We describe an experiment where ability to synchronize by ear a spoken signal with another signal of disturbs is matched to the entropic content of the spoken signal; i.e. the disturb is placed more precisely if it happens in

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Zou, Hong-Mei, and Mao-Fa Fang. "Witnessing entanglement between two atoms in dissipative cavities by the entropic uncertainty relation." Canadian Journal of Physics 94, no. 11 (2016): 1142–47. http://dx.doi.org/10.1139/cjp-2016-0258.

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Based on the entropic uncertainty relation in the presence of quantum memory, the entanglement witness of two atoms in dissipative cavities is investigated by using the time-convolutionless master-equation approach. We discuss in detail the influences of the non-Markovian effect and the atom–cavity coupling on the lower bound of the entropic uncertainty relation and entanglement witness. The results show that, with the coupling increasing, the number of the time zone witnessed will increase so that the entanglement can be repeatedly witnessed. Enhancing the non-Markovian effect can add the num

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Haddad, Wassim M. "Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time." Entropy 14, no. 3 (2012): 407–55. http://dx.doi.org/10.3390/e14030407.

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Wang, Tian-Yu, and Dong Wang. "Entropic uncertainty relations in Schwarzschild space-time." Physics Letters B 855 (August 2024): 138876. http://dx.doi.org/10.1016/j.physletb.2024.138876.

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EASSON, DAMIEN A., PAUL H. FRAMPTON, and GEORGE F. SMOOT. "ENTROPIC INFLATION." International Journal of Modern Physics A 27, no. 12 (2012): 1250066. http://dx.doi.org/10.1142/s0217751x12500662.

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One of the major pillars of modern cosmology theory is a period of accelerating expansion in the early universe. This accelerating expansion, or inflation, must be sustained for at least 30 e-foldings. One mechanism used to drive the acceleration is the addition of a new energy field, called the inflaton; often this is a scalar field. We propose an alternative mechanism which, like our approach to explain the late-time accelerating universe, uses the entropy and temperature intrinsic to information holographically stored on a surface enclosing the observed space. The acceleration is due in bot

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Li, Shu-Nan, and Bing-Yang Cao. "On Entropic Framework Based on Standard and Fractional Phonon Boltzmann Transport Equations." Entropy 21, no. 2 (2019): 204. http://dx.doi.org/10.3390/e21020204.

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Generalized expressions of the entropy and related concepts in non-Fourier heat conduction have attracted increasing attention in recent years. Based on standard and fractional phonon Boltzmann transport equations (BTEs), we study entropic functionals including entropy density, entropy flux and entropy production rate. Using the relaxation time approximation and power series expansion, macroscopic approximations are derived for these entropic concepts. For the standard BTE, our results can recover the entropic frameworks of classical irreversible thermodynamics (CIT) and extended irreversible

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Niven, Robert K. "Invariance Properties of the Entropy Production, and the Entropic Pairing of Inertial Frames of Reference by Shear-Flow Systems." Entropy 23, no. 11 (2021): 1515. http://dx.doi.org/10.3390/e23111515.

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This study examines the invariance properties of the thermodynamic entropy production in its global (integral), local (differential), bilinear, and macroscopic formulations, including dimensional scaling, invariance to fixed displacements, rotations or reflections of the coordinates, time antisymmetry, Galilean invariance, and Lie point symmetry. The Lie invariance is shown to be the most general, encompassing the other invariances. In a shear-flow system involving fluid flow relative to a solid boundary at steady state, the Galilean invariance property is then shown to preference a unique pai

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Lin, Zhe, and Arjendu K. Pattanayak. "A Chaos Synchronization Diagnostic: Difference Time Series Peak Complexity (DTSPC)." Entropy 26, no. 12 (2024): 1085. https://doi.org/10.3390/e26121085.

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Chaotic systems can exhibit completely different behaviors given only slightly different initial conditions, yet it is possible to synchronize them through appropriate coupling. A wide variety of behaviors—complete chaos, complete synchronization, phase synchronization, etc.—across a variety of systems have been identified but rely on systems’ phase space trajectories, which suppress important distinctions between very different behaviors and require access to the differential equations. In this paper, we introduce the Difference Time Series Peak Complexity (DTSPC) algorithm, a technique using

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Bassetti, Davide, Lukáš Pospíšil, and Illia Horenko. "On Entropic Learning from Noisy Time Series in the Small Data Regime." Entropy 26, no. 7 (2024): 553. http://dx.doi.org/10.3390/e26070553.

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In this work, we present a novel methodology for performing the supervised classification of time-ordered noisy data; we call this methodology Entropic Sparse Probabilistic Approximation with Markov regularization (eSPA-Markov). It is an extension of entropic learning methodologies, allowing the simultaneous learning of segmentation patterns, entropy-optimal feature space discretizations, and Bayesian classification rules. We prove the conditions for the existence and uniqueness of the learning problem solution and propose a one-shot numerical learning algorithm that—in the leading order—scale

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Niven, Robert K. "Dimensionless Groups by Entropic Similarity: I — Diffusion, Chemical Reaction and Dispersion Processes." Entropy 25, no. 4 (2023): 617. http://dx.doi.org/10.3390/e25040617.

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Since the time of Buckingham in 1914, dimensional analysis and similarity arguments based on dimensionless groups have served as powerful tools for the analysis of systems in all branches of science and engineering. Dimensionless groups are generally classified into those arising from geometric similarity, based on ratios of length scales; kinematic similarity, based on ratios of velocities or accelerations; and dynamic similarity, based on ratios of forces. We propose an additional category of dimensionless groups based on entropic similarity, defined by ratios of (i) entropy production terms

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Dorschner, B., F. Bösch, S. S. Chikatamarla, K. Boulouchos, and I. V. Karlin. "Entropic multi-relaxation time lattice Boltzmann model for complex flows." Journal of Fluid Mechanics 801 (July 26, 2016): 623–51. http://dx.doi.org/10.1017/jfm.2016.448.

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Entropic lattice Boltzmann methods were introduced to overcome the stability issues of lattice Boltzmann models for high Reynolds number turbulent flows. However, to date their validity has been investigated only for simple flows due to the lack of appropriate boundary conditions. We present here an extension of these models to complex flows involving curved and moving boundaries in three dimensions. Apart from a thorough investigation of resolved and under-resolved simulations for periodic flow and turbulent flow in a round pipe, we study in detail the set-up of a simplified internal combusti

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Nojiri, Shin’ichi, Sergei D. Odintsov, and Tanmoy Paul. "Different Aspects of Entropic Cosmology." Universe 10, no. 9 (2024): 352. http://dx.doi.org/10.3390/universe10090352.

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We provide a short review of the recent developments in entropic cosmology based on two thermodynamic laws of the apparent horizon, namely the first and the second laws of thermodynamics. The first law essentially provides the change in entropy of the apparent horizon during the cosmic evolution of the universe; in particular, it is expressed by TdS=−d(ρV)+WdV (where W is the work density and other quantities have their usual meanings). In this way, the first law actually links various theories of gravity with the entropy of the apparent horizon. This leads to a natural question—“What is the f

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Schlatter, A., and R. E. Kastner. "On Mach’s Principle in Entropic Gravity." Foundations 4, no. 2 (2024): 146–55. http://dx.doi.org/10.3390/foundations4020011.

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The question of where the inertial properties of matter come from has been open for a long time. Isaac Newton considered inertia an intrinsic property of matter. Ernst Mach held a different view whereby the inertia of a body comes from its interaction with the rest of the universe. This idea is known today as Mach’s principle. We discuss Mach’s principle based on transactional gravity, the recently developed connection of entropic gravity to the physics of quantum events, induced by transactions. It is shown that Mach’s principle holds and that there is a fundamental relation between the gravi

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Polak, Paweł, and Jacek Rodzeń. "The Influence of Bergson’s Entropic and Negentropic Ideas on Polish Philosophy Before the Second World War." Roczniki Filozoficzne 72, no. 4 (2024): 201–30. https://doi.org/10.18290/rf24724.10.

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The second law of thermodynamics and the concept of entropy became one of the most important scientific ideas to influence Western culture in the 19th century. Pessimistic conclusions, such as the concept of the heat death of the universe and the specter of the inevitable decay of everything, inspired philosophical reflection at the fin de siècle. The philosophy of Henri Bergson played a key role in overcoming this pessimistic attitude. In his famous work L’évolution créatrice (1907), he proposed a bold metaphysical vision for the completion of science through a vision of creative evolution dr

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Gassner, Steven, Carlo Cafaro, Sean A. Ali, and Paul M. Alsing. "Information geometric aspects of probability paths with minimum entropy production for quantum state evolution." International Journal of Geometric Methods in Modern Physics 18, no. 08 (2021): 2150127. http://dx.doi.org/10.1142/s0219887821501279.

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We present an information geometric analysis of both entropic speeds and entropy production rates arising from geodesic evolution on manifolds parametrized by pure quantum states. In particular, we employ pure states that emerge as outputs of suitably chosen [Formula: see text] time-dependent Hamiltonian operators that characterize analog quantum search algorithms of specific types. The [Formula: see text] Hamiltonian models under consideration are specified by external time-dependent magnetic fields within which spin-[Formula: see text] test particles are immersed. The positive definite Riema

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Bertoni, Christian, Yuxiang Yang, and Joseph M. Renes. "Entropic time–energy uncertainty relations: an algebraic approach." New Journal of Physics 22, no. 8 (2020): 083010. http://dx.doi.org/10.1088/1367-2630/ab9ee5.

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Yang, Jin, and Paolo Grigolini. "On the time evolution of the entropic index." Physics Letters A 263, no. 4-6 (1999): 323–30. http://dx.doi.org/10.1016/s0375-9601(99)00754-9.

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