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Journal articles on the topic 'Entropy'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Siagian, Ruben Cornelius, Lulut Alfaris, Arip Nurahman, and Eko Pramesti Sumarto. "TERMODINAMIKA LUBANG HITAM: HUKUM PERTAMA DAN KEDUA SERTA PERSAMAAN ENTROPI." Jurnal Kumparan Fisika 6, no. 1 (2023): 1–10. http://dx.doi.org/10.33369/jkf.6.1.1-10.

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ABSTRAK Artikel ini membahas konsep termodinamika yang berlaku pada Lubang Hitam, yaitu hukum termodinamika pertama dan kedua. Hukum pertama termodinamika menghubungkan perubahan massa dengan perubahan entropi dan kerja, memungkinkan Lubang Hitam diperlakukan sebagai sistem termodinamika dengan suhu dan entropi. Hukum kedua termodinamika menyatakan bahwa entropi suatu sistem terisolasi dalam kesetimbangan termodinamika selalu meningkat atau tetap konstan, termasuk untuk Lubang Hitam. Metode penulisan yang digunakan dalam artikel ini melibatkan derivasi matematis untuk entropi Lubang Hitam, den

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2

Kang, Jin-Wen, Ke-Ming Shen, and Ben-Wei Zhang. "A Note on the Connection between Non-Additive Entropy and h-Derivative." Entropy 25, no. 6 (2023): 918. http://dx.doi.org/10.3390/e25060918.

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In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the h-derivative, which generalizes the conventional Newton–Leibniz calculus. This new entropy, Sh,h′, is proved to describe the non-extensive systems and recover several types of well-known non-extensive entropic expressions, such as the Tsallis entropy, the Abe entropy, the Shafee entropy, the Kaniadakis entropy and even the classical Boltzmann–Gibbs one. As a generalized entropy, its corresponding properties are also analyzed.

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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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KOSSAKOWSKI, A., M. OHYA, and N. WATANABE. "QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP." Infinite Dimensional Analysis, Quantum Probability and Related Topics 02, no. 02 (1999): 267–82. http://dx.doi.org/10.1142/s021902579900014x.

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A dynamical entropy for not only shift but also completely positive (CP) map is defined by generalizing the AOW entropy1 defined through quantum Markov chain and AF entropy defined by a finite operational partition. Our dynamical entropy is numerically computed for several models.

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5

Huang, Yiqi. "An overview of the development and applications of information entropy." Theoretical and Natural Science 42, no. 1 (2024): 52–57. http://dx.doi.org/10.54254/2753-8818/42/20240663.

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With information entropy gradually taking the lead in modern information theory development, it begins to hold greater influence over multiple research areas as well as technology innovation. This paper aims to clarify peoples confusion with the development of entropy theory and provide a brief overview of the origin of entropy theory, including the original Shannons proposal, variants such as relative entropy and conditional entropy, and entropy concepts proposed by other scientists, such as Rnyi Tsallis entropy. The paper also includes the current application of entropy, studies hotspots, an

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Huang, Yiqi. "An overview of the development and applications of information entropy." Theoretical and Natural Science 50, no. 1 (2024): 52–57. http://dx.doi.org/10.54254/2753-8818/50/20240663.

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With information entropy gradually taking the lead in modern information theory development, it begins to hold greater influence over multiple research areas as well as technology innovation. This paper aims to clarify peoples confusion with the development of entropy theory and provide a brief overview of the origin of entropy theory, including the original Shannons proposal, variants such as relative entropy and conditional entropy, and entropy concepts proposed by other scientists, such as Rnyi Tsallis entropy. The paper also includes the current application of entropy, studies hotspots, an

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7

Jawad, Abdul, and Ayesha Iqbal. "Modified cosmology through Renyi and logarithmic entropies." International Journal of Geometric Methods in Modern Physics 15, no. 08 (2018): 1850130. http://dx.doi.org/10.1142/s021988781850130x.

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We consider two different entropic corrections to Bekenstein entropy, namely Renyi entropy and logarithmic-corrected entropy, and develop the entropic force, heat flow across the horizon and pressure. We also derive the expressions for Newton’s law of gravitation and verify with Bekenstein entropy by taking [Formula: see text] in the case of Renyi entropy and [Formula: see text] for logarithmic entropy. The modified Friedmann equations are also being developed by using Newton’s first law of thermodynamics in both cases. In the presence of these equations, we also analyze the validity of genera

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8

XIAO, CHANGMING, and LIXIN HUANG. "ENTROPIC FORCE IN A CLOSED IDEAL GAS." Modern Physics Letters B 20, no. 09 (2006): 495–500. http://dx.doi.org/10.1142/s0217984906010731.

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For a closed thermodynamic system of ideal gas, the entropic force is studied in this paper. The results show that the entropic force arises when the entropy is deviated from its equilibrium maximum value by an external force. This entropic force resists the entropy deviation enlarging, and will drive the entropy back to its maximum value if the external forces disappear.

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9

Silva, Carlos, and Kalyan Annamalai. "Entropy Generation and Human Aging: Lifespan Entropy and Effect of Physical Activity Level." Entropy 10, no. 2 (2008): 100–123. http://dx.doi.org/10.3390/entropy-e10020100.

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10

Zhao, Lina, Chengyu Liu, Shoushui Wei, Qin Shen, Fan Zhou, and Jianqing Li. "A New Entropy-Based Atrial Fibrillation Detection Method for Scanning Wearable ECG Recordings." Entropy 20, no. 12 (2018): 904. http://dx.doi.org/10.3390/e20120904.

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Entropy-based atrial fibrillation (AF) detectors have been applied for short-term electrocardiogram (ECG) analysis. However, existing methods suffer from several limitations. To enhance the performance of entropy-based AF detectors, we have developed a new entropy measure, named EntropyAF, which includes the following improvements: (1) use of a ranged function rather than the Chebyshev function to define vector distance, (2) use of a fuzzy function to determine vector similarity, (3) replacement of the probability estimation with density estimation for entropy calculation, (4) use of a flexibl

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11

Iqbal, Ayesha, and Abdul Jawad. "Thermodynamics of Ricci-Gauss-Bonnet Dark Energy." Advances in High Energy Physics 2018 (2018): 1–12. http://dx.doi.org/10.1155/2018/6139430.

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We investigate the validity of generalized second law of thermodynamics of a physical system comprising newly proposed dark energy model called Ricci-Gauss-Bonnet and cold dark matter enveloped by apparent horizon and event horizon in flat Friedmann-Robertson-Walker (FRW) universe. For this purpose, Bekenstein entropy, Renyi entropy, logarithmic entropy, and power law entropic corrections are used. It is found that this law exhibits the validity on both apparent and event horizons except for the case of logarithmic entropic correction at apparent horizon. Also, we check the thermodynamical equ

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12

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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13

Rosser, J. Barkley. "Econophysics and the Entropic Foundations of Economics." Entropy 23, no. 10 (2021): 1286. http://dx.doi.org/10.3390/e23101286.

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This paper examines relations between econophysics and the law of entropy as foundations of economic phenomena. Ontological entropy, where actual thermodynamic processes are involved in the flow of energy from the Sun through the biosphere and economy, is distinguished from metaphorical entropy, where similar mathematics used for modeling entropy is employed to model economic phenomena. Areas considered include general equilibrium theory, growth theory, business cycles, ecological economics, urban–regional economics, income and wealth distribution, and financial market dynamics. The power-law

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14

Sohns, Moritz. "Minimal Entropy and Entropic Risk Measures: A Unified Framework via Relative Entropy." Risks 13, no. 4 (2025): 70. https://doi.org/10.3390/risks13040070.

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We introduce a new coherent risk measure, the minimal-entropy risk measure, which is built on the minimal-entropy σ-martingale measure—a concept inspired by the well-known minimal-entropy martingale measure used in option pricing. While the minimal-entropy martingale measure is commonly used for pricing and hedging, the minimal-entropy σ-martingale measure has not previously been studied, nor has it been analyzed as a traditional risk measure. We address this gap by clearly defining this new risk measure and examining its fundamental properties. In addition, we revisit the entropic risk measur

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15

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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16

Parker, Michael C., and Chris Jeynes. "A Relativistic Entropic Hamiltonian–Lagrangian Approach to the Entropy Production of Spiral Galaxies in Hyperbolic Spacetime." Universe 7, no. 9 (2021): 325. http://dx.doi.org/10.3390/universe7090325.

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Double-spiral galaxies are common in the Universe. It is known that the logarithmic double spiral is a Maximum Entropy geometry in hyperbolic (flat) spacetime that well represents an idealised spiral galaxy, with its central supermassive black hole (SMBH) entropy accounting for key galactic structural features including the stability and the double-armed geometry. Over time the central black hole must accrete mass, with the overall galactic entropy increasing: the galaxy is not at equilibrium. From the associated entropic Euler–Lagrange Equation (enabling the application of Noether’s theorem)

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17

ABDEL-ATY, MAHMOUD, ISSA A. AL-KHAYAT, and SHOUKRY S. HASSAN. "SHANNON INFORMATION AND ENTROPY SQUEEZING OF A SINGLE-MODE CAVITY QED OF A RAMAN INTERACTION." International Journal of Quantum Information 04, no. 05 (2006): 807–14. http://dx.doi.org/10.1142/s021974990600216x.

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Entropy squeezing is examined in the framework of Shannon information entropy for a degenerate Raman process involving two degenerate Rydberg energy levels of an atom interacting with a single-mode cavity field. Quantum squeezing in entropy is exhibited via the entropic uncertainty relation.

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18

KAYA, Mehmet Onur, Yunus GÜRAL, and Mehmet GÜRCAN. "Entropy, Information and Entropy Correlation Coefficient." Turkiye Klinikleri Journal of Biostatistics 12, no. 1 (2020): 83–88. http://dx.doi.org/10.5336/biostatic.2020-74305.

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19

Swendsen, Robert. "Gibbs’ Paradox and the Definition of Entropy." Entropy 10, no. 1 (2008): 15–18. http://dx.doi.org/10.3390/entropy-e10010015.

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20

Naudts, Jan. "Generalised Exponential Families and Associated Entropy Functions." Entropy 10, no. 3 (2008): 131–49. http://dx.doi.org/10.3390/entropy-e10030131.

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21

Yun, Huisung, and Mohammad Modarres. "Measures of Entropy to Characterize Fatigue Damage in Metallic Materials." Entropy 21, no. 8 (2019): 804. http://dx.doi.org/10.3390/e21080804.

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This paper presents the entropic damage indicators for metallic material fatigue processes obtained from three associated energy dissipation sources. Since its inception, reliability engineering has employed statistical and probabilistic models to assess the reliability and integrity of components and systems. To supplement the traditional techniques, an empirically-based approach, called physics of failure (PoF), has recently become popular. The prerequisite for a PoF analysis is an understanding of the mechanics of the failure process. Entropy, the measure of disorder and uncertainty, introd

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22

Bianconi, Ginestra. "The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law." Entropy 27, no. 3 (2025): 266. https://doi.org/10.3390/e27030266.

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The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black hole for an arbitrary Schwarzschild radius. The quantum relative entropy between the metric of the manifold and the metric induced by the geometry and the matter field has been proposed in G. Bianconi as the action for entropic quantum gravity leading to modified Einstein equations. The quantum relative entropy generalizes Araki’s entropy and

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23

Lechthaler Zdenkovic, M., and A. E. Scheidegger. "Entropy of landscapes." Zeitschrift für Geomorphologie 33, no. 3 (1989): 361–71. http://dx.doi.org/10.1127/zfg/33/1989/361.

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24

Scarfone, Antonio M. "A Maximal Entropy Distribution Derivation of the Sharma-Taneja-Mittal Entropic Form." Open Systems & Information Dynamics 25, no. 01 (2018): 1850002. http://dx.doi.org/10.1142/s1230161218500026.

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In this letter we derive the distribution maximizing the Sharma-Taneja-Mittal entropy under certain constrains by using an information inequality satisfied by the Br`egman divergence associated to this entropic form. The resulting maximal entropy distribution coincides with the one derived from the calculus according to the maximal entropy principle à la Jaynes.

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25

Kozhemyakina, Olga, Vladimir Barakhnin, Natalia Shashok, and Elina Kozhemyakina. "The Question of Studying Information Entropy in Poetic Texts." Applied Sciences 13, no. 20 (2023): 11247. http://dx.doi.org/10.3390/app132011247.

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One of the approaches to quantitative text analysis is to represent a given text in the form of a time series, which can be followed by an information entropy study for different text representations, such as “symbolic entropy”, “phonetic entropy” and “emotional entropy” of various orders. Studying authors’ styles based on such entropic characteristics of their works seems to be a promising area in the field of information analysis. In this work, the calculations of entropy values of the first, second and third order for the corpus of poems by A.S. Pushkin and other poets from the Golden Age o

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26

Plastino, Angelo, Angel Plastino, Evaldo Curado, and Montse Casas. "Incremental Entropy Relation as an Alternative to MaxEnt." Entropy 10, no. 2 (2008): 124–30. http://dx.doi.org/10.3390/entropy-e10020124.

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27

Behringer, Hans. "Qualitative Picture of Scaling in the Entropy Formalism." Entropy 10, no. 3 (2008): 224–39. http://dx.doi.org/10.3390/entropy-e10030224.

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Weilenmann, Mirjam, and Roger Colbeck. "Non-Shannon inequalities in the entropy vector approach to causal structures." Quantum 2 (March 14, 2018): 57. http://dx.doi.org/10.22331/q-2018-03-14-57.

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A causal structure is a relationship between observed variables that in general restricts the possible correlations between them. This relationship can be mediated by unobserved systems, modelled by random variables in the classical case or joint quantum systems in the quantum case. One way to differentiate between the correlations realisable by two different causal structures is to use entropy vectors, i.e., vectors whose components correspond to the entropies of each subset of the observed variables. To date, the starting point for deriving entropic constraints within causal structures are t

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29

Gao, FuQing, and LiNa Li. "Weak entropy inequalities and entropic convergence." Science in China Series A: Mathematics 51, no. 10 (2008): 1798–806. http://dx.doi.org/10.1007/s11425-008-0058-3.

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30

Stahl, D. O. "Entropy control costs and entropic equilibria." International Journal of Game Theory 19, no. 2 (1990): 129–38. http://dx.doi.org/10.1007/bf01761072.

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31

Geiger, Davi, and Zvi M. Kedem. "On Quantum Entropy." Entropy 24, no. 10 (2022): 1341. http://dx.doi.org/10.3390/e24101341.

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Quantum physics, despite its intrinsically probabilistic nature, lacks a definition of entropy fully accounting for the randomness of a quantum state. For example, von Neumann entropy quantifies only the incomplete specification of a quantum state and does not quantify the probabilistic distribution of its observables; it trivially vanishes for pure quantum states. We propose a quantum entropy that quantifies the randomness of a pure quantum state via a conjugate pair of observables/operators forming the quantum phase space. The entropy is dimensionless, it is a relativistic scalar, it is inva

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32

GULKO, LES. "THE ENTROPIC MARKET HYPOTHESIS." International Journal of Theoretical and Applied Finance 02, no. 03 (1999): 293–329. http://dx.doi.org/10.1142/s0219024999000170.

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Information theory teaches that entropy is the fundamental limit for data compression, and electrical engineers routinely use entropy as a criterion for efficient storage and transmission of information. Since modern financial theory teaches that competitive market prices store and transmit information with some efficiency, should financial economists be concerned with entropy? This paper presents a market model in which entropy emerges endogenously as a condition for the operational efficiency of price discovery while entropy maximization emerges as a condition for the informational efficienc

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33

Wand, A. Joshua, and Kim A. Sharp. "Measuring Entropy in Molecular Recognition by Proteins." Annual Review of Biophysics 47, no. 1 (2018): 41–61. http://dx.doi.org/10.1146/annurev-biophys-060414-034042.

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Molecular recognition by proteins is fundamental to the molecular basis of biology. Dissection of the thermodynamic landscape governing protein–ligand interactions has proven difficult because determination of various entropic contributions is quite challenging. Nuclear magnetic resonance relaxation measurements, theory, and simulations suggest that conformational entropy can be accessed through a dynamical proxy. Here, we review the relationship between measures of fast side-chain motion and the underlying conformational entropy. The dynamical proxy reveals that the contribution of conformati

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34

ZHAO, HUI-HUA, GUANG-LIANG LI, REN ZHAO, MENG-SEN MA, and LI-CHUN ZHANG. "ENTANGLEMENT ENTROPY OF d-DIMENSIONAL BLACK HOLE AND QUANTUM ISOLATED HORIZON." Modern Physics Letters A 28, no. 32 (2013): 1350129. http://dx.doi.org/10.1142/s0217732313501290.

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Based on the works of Ghosh et al. who view the black hole entropy as the logarithm of the number of quantum states on the Quantum Isolated Horizon (QIH), the entropy of d-dimensional black hole is studied. According to the Unruh–Verlinde temperature deduced from the concept of entropic force, the statistical entropy of quantum fields under the background of d-dimensional spacetime is calculated by means of quantum statistics. The results reveal the relation between the entanglement entropy of black hole and the logarithm of the number of quantum states and display the effects of dimensions on

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35

Lejček, Pavel, Siegfried Hofmann, and Václav Paidar. "The Significance of Entropy in Grain Boundary Segregation." Materials 12, no. 3 (2019): 492. http://dx.doi.org/10.3390/ma12030492.

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The role of entropy in materials science is demonstrated in this report in order to establish its importance for the example of solute segregation at the grain boundaries of bcc iron. We show that substantial differences in grain boundary chemistry arise if their composition is calculated with or without consideration of the entropic term. Another example which clearly documents the necessity of implementing the entropic term in materials science is the enthalpy-entropy compensation effect. Entropy also plays a decisive role in the anisotropy of grain boundary segregation and in interface char

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BEN ABDALLAH, NAOUFEL, HEDIA CHAKER, and CHRISTIAN SCHMEISER. "THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES." Journal of Hyperbolic Differential Equations 04, no. 04 (2007): 679–704. http://dx.doi.org/10.1142/s0219891607001318.

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The high field approximation of a fermionic Boltzmann equation of semiconductors is performed after the formation of shocks. By employing a new entropy, whose dissipation measures the departure from the high field equilibrium, convergence towards the entropic solution of the limiting conservation law is proven. The entropy is also used to construct kinetic shock profiles for entropic shocks and to prove non-existence of non-entropic shock profiles.

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Zhang, J., and H. Matsuzoe. "Entropy, cross-entropy, relative entropy: Deformation theory (a)." EPL (Europhysics Letters) 134, no. 1 (2021): 18001. http://dx.doi.org/10.1209/0295-5075/134/18001.

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Michalowicz, Joseph, Jonathan Nichols, and Frank Bucholtz. "Calculation of Differential Entropy for a Mixed Gaussian Distribution." Entropy 10, no. 3 (2008): 200–206. http://dx.doi.org/10.3390/entropy-e10030200.

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VAKARIN, E. V., and J. P. BADIALI. "A LINK BETWEEN THE MAXIMUM ENTROPY APPROACH AND THE VARIATIONAL ENTROPY FORM." Modern Physics Letters B 25, no. 22 (2011): 1821–28. http://dx.doi.org/10.1142/s0217984911027054.

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The maximum entropy approach operating with quite general entropy measure and constraint is considered. It is demonstrated that for a conditional or parametrized probability distribution f(x|μ), there is a "universal" relation among the entropy rate and the functions appearing in the constraint. This relation allows one to translate the specificities of the observed behavior θ(μ) into the amount of information on the relevant random variable x at different values of the parameter μ. It is shown that the recently proposed variational formulation of the entropic functional can be obtained as a c

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Li, Shu-Nan, and Bing-Yang Cao. "Fractional-order heat conduction models from generalized Boltzmann transport equation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2172 (2020): 20190280. http://dx.doi.org/10.1098/rsta.2019.0280.

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The relationship between fractional-order heat conduction models and Boltzmann transport equations (BTEs) lacks a detailed investigation. In this paper, the continuity, constitutive and governing equations of heat conduction are derived based on fractional-order phonon BTEs. The underlying microscopic regimes of the generalized Cattaneo equation are thereafter presented. The effective thermal conductivity κ eff converges in the subdiffusive regime and diverges in the superdiffusive regime. A connection between the divergence and mean-square displacement 〈|Δ x | 2 〉 ∼ t γ is established, namely

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Serpa, Nilo, and Gisele Alves Fernandes. "The Way of Entropy: from Lagrangian Modelling to Thermal Engineering." CALIBRE - Revista Brasiliense de Engenharia e Física Aplicada 5 (December 20, 2020): 1. http://dx.doi.org/10.17648/calibre.v5.1476.

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<p>This article discusses the concept of entropy in an alternative thermodynamic view, demonstrating dialectically that the reversibility illustrated in common laboratory practice is only a local technical effect resulting from anthropic processes that slow down the irreversible advance of the disorder. Then, negative entropy is only a fiction stemming from the imaginationist idealism. The Lagrangian formalism is applied from the introduction of the idea of temporal confinement of thermal energy states, with time being interpreted as the basis of an evolutionary variable. The acceleratio

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DOOLEY, A. H., V. YA GOLODETS, D. J. RUDOLPH, and S. D. SINEL’SHCHIKOV. "Non-Bernoulli systems with completely positive entropy." Ergodic Theory and Dynamical Systems 28, no. 1 (2008): 87–124. http://dx.doi.org/10.1017/s014338570700034x.

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AbstractA new approach to actions of countable amenable groups with completely positive entropy (cpe), allowing one to answer some basic questions in this field, was recently developed. The question of the existence of cpe actions which are not Bernoulli was raised. In this paper, we prove that every countable amenable groupG, which contains an element of infinite order, has non-Bernoulli cpe actions. In fact we can produce, for any$h \in (0, \infty ]$, an uncountable family of cpe actions of entropyh, which are pairwise automorphically non-isomorphic. These actions are given by a construction

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Guel-Cortez, Adrian-Josue, and Eun-Jin Kim. "Relations between entropy rate, entropy production and information geometry in linear stochastic systems." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 3 (2023): 033204. http://dx.doi.org/10.1088/1742-5468/acbc24.

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Abstract In this work, we investigate the relation between the concept of ‘information rate’, an information geometric method for measuring the speed of the time evolution of the statistical states of a stochastic process, and stochastic thermodynamics quantities like entropy rate and entropy production. Then, we propose the application of entropy rate and entropy production to different practical applications such as abrupt event detection, correlation analysis, and control engineering. Specifically, by utilising the Fokker–Planck equation of multi-variable linear stochastic processes describ

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PETROV, A. I. "QUALITATIVE ASSESSMENT OF THE ROAD SAFETY MANAGEMENT SYSTEM: PHILOSOPHICAL MEANING AND POSSIBILITIES INFORMATION-ENTROPY ANALYSIS." World of transport and technological machines 1(82), no. 3 (2023): 69–76. http://dx.doi.org/10.33979/2073-7432-2023-3-1(82)-69-76.

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The article discusses entropic approaches to assessing the quality of road safety (RS) management in the regions of Russia. The methodology for quantifying the Relative entropy Hn of the regional RS system and examples of its use are given. The entropy classification of regional RS systems by levels of system orderliness is presented. An attempt is made to philosophically comprehend the results of information-entropy analysis of the features of regional RS systems.

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Pinal, Rodolfo. "Entropy of Mixing and the Glass Transition of Amorphous Mixtures." Entropy 10, no. 3 (2008): 207–23. http://dx.doi.org/10.3390/entropy-e10030207.

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Kremer, Gilberto M. "Entropy, entropy flux and entropy rate of granular materials." Physica A: Statistical Mechanics and its Applications 389, no. 19 (2010): 4018–25. http://dx.doi.org/10.1016/j.physa.2010.06.004.

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GOLODETS, V. YA, and ERLING ST&\Oslash;RMER. "Entropy of $C^\ast$-dynamical systems defined by bitstreams." Ergodic Theory and Dynamical Systems 18, no. 4 (1998): 859–74. http://dx.doi.org/10.1017/s0143385798108325.

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We study automorphisms of the CAR-algebra obtained from binary shifts. We consider cases when the $C^\ast$-dynamical system is asymptotically abelian, is proximally asymptotically abelian, is an entropic $K$-system or has completely positive entropy. The entropy is computed in several cases.

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Beretta, Gian Paolo. "Modeling Non-Equilibrium Dynamics of a Discrete Probability Distribution: General Rate Equation for Maximal Entropy Generation in a Maximum-Entropy Landscape with Time-Dependent Constraints." Entropy 10, no. 3 (2008): 160–82. http://dx.doi.org/10.3390/entropy-e10030160.

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Leubner, M. P. "Consequences of entropy bifurcation in non-Maxwellian astrophysical environments." Nonlinear Processes in Geophysics 15, no. 4 (2008): 531–40. http://dx.doi.org/10.5194/npg-15-531-2008.

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Abstract. Non-extensive systems, accounting for long-range interactions and correlations, are fundamentally related to non-Maxwellian distributions where a duality of equilibria appears in two families, the non-extensive thermodynamic equilibria and the kinetic equilibria. Both states emerge out of particular entropy generalization leading to a class of probability distributions, where bifurcation into two stationary states is naturally introduced by finite positive or negative values of the involved entropic index kappa. The limiting Boltzmann-Gibbs-Shannon state (BGS), neglecting any kind of

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Caro, José A., Kyle W. Harpole, Vignesh Kasinath, et al. "Entropy in molecular recognition by proteins." Proceedings of the National Academy of Sciences 114, no. 25 (2017): 6563–68. http://dx.doi.org/10.1073/pnas.1621154114.

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Molecular recognition by proteins is fundamental to molecular biology. Dissection of the thermodynamic energy terms governing protein–ligand interactions has proven difficult, with determination of entropic contributions being particularly elusive. NMR relaxation measurements have suggested that changes in protein conformational entropy can be quantitatively obtained through a dynamical proxy, but the generality of this relationship has not been shown. Twenty-eight protein–ligand complexes are used to show a quantitative relationship between measures of fast side-chain motion and the underlyin

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