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1

Cruz, Danilo Santos, João M. de Araújo, Carlos A. N. da Costa, and Carlos C. N. da Silva. "Adding Prior Information in FWI through Relative Entropy." Entropy 23, no. 5 (2021): 599. http://dx.doi.org/10.3390/e23050599.

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Full waveform inversion is an advantageous technique for obtaining high-resolution subsurface information. In the petroleum industry, mainly in reservoir characterisation, it is common to use information from wells as previous information to decrease the ambiguity of the obtained results. For this, we propose adding a relative entropy term to the formalism of the full waveform inversion. In this context, entropy will be just a nomenclature for regularisation and will have the role of helping the converge to the global minimum. The application of entropy in inverse problems usually involves for
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2

Tagliani, Aldo. "INVERSE z TRANSFORM AND MOMENT PROBLEM." Probability in the Engineering and Informational Sciences 14, no. 3 (2000): 393–404. http://dx.doi.org/10.1017/s0269964800143098.

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Numerical inversion of a one-sided z transform, corresponding to causal positive sequence, is considered. The numerical inversion requires the availability of a finite number of the transform's derivatives. The approximate analytical form is obtained by resorting to the maximum entropy principle. Entropy and then L1-norm convergence are proved.
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3

Hradil, Z., and J. Rehácek. "Likelihood and entropy for statistical inversion." Journal of Physics: Conference Series 36 (April 1, 2006): 55–59. http://dx.doi.org/10.1088/1742-6596/36/1/011.

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4

Buldgen, G., S. J. A. J. Salmon, A. Noels, et al. "Seismic inversion of the solar entropy." Astronomy & Astrophysics 607 (November 2017): A58. http://dx.doi.org/10.1051/0004-6361/201731354.

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5

Gündoğdu, N. Yıldırım, and Mehmet Emin Candansayar. "Three-dimensional regularized inversion of DC resistivity data with different stabilizing functionals." GEOPHYSICS 83, no. 6 (2018): E399—E407. http://dx.doi.org/10.1190/geo2017-0558.1.

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A regularized inversion with a smoothing (SM) stabilizer is commonly used in 3D inversion of direct-current (DC) resistivity data. We have developed a new 3D inversion algorithm for DC resistivity data to investigate the efficiency of various stabilizing functionals. This algorithm is capable of incorporating 3D regularized inversion with [Formula: see text]-norm, [Formula: see text]-norm, SM, minimum support (MS), minimum gradient support (MGS), first-order minimum entropy, and total variation (TV) stabilizers. This is, to our knowledge, a comprehensive study of the effects of these seven dif
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6

Robert, Freedman, and Gerald N. Minerbo. "Maximum Entropy Inversion of Induction-Log Data." SPE Formation Evaluation 6, no. 02 (1991): 259–68. http://dx.doi.org/10.2118/19608-pa.

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Silva, João B., Alexandre S. Oliveira, and Valéria C. Barbosa. "Gravity inversion of 2D basement relief using entropic regularization." GEOPHYSICS 75, no. 3 (2010): I29—I35. http://dx.doi.org/10.1190/1.3374358.

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We have developed a gravity interpretation method for estimating the discontinuous basement relief of a sedimentary basin. The density contrast between the basement and the sediments is assumed to be known, and it could be either constant or vary monotonically with depth. The interpretation model consists of a set of vertical, juxtaposed prisms, whose thicknesses are the parameters to be estimated. We used the entropic regularization that combines the minimization of the first-order entropy measure with the maximization of the zeroth-order entropy measure of the solution vector. We validated t
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8

Wang, Xin, Brianna L. Musicó, Corisa Kons, et al. "Local cation order and ferrimagnetism in compositionally complex spinel ferrites." APL Materials 10, no. 12 (2022): 121102. http://dx.doi.org/10.1063/5.0123728.

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We present an exploration of a family of compositionally complex cubic spinel ferrites featuring combinations of Mg, Fe, Co, Ni, Cu, Mn, and Zn cations, systematically investigating the average and local atomic structures, chemical short-range order, magnetic spin configurations, and magnetic properties. All compositions result in ferrimagnetic average structures with extremely similar local bonding environments; however, the samples display varying degrees of cation inversion and, therefore, differing apparent bulk magnetization. Additionally, first-order reversal curve analysis of the magnet
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9

ABD AL-KADER, GAMAL M. "ENTROPY AND ENTANGLEMENT OF THE SUPERPOSITIONS OF DISPLACED FOCK STATES WITH A TWO-LEVEL ATOM." International Journal of Modern Physics B 20, no. 11n13 (2006): 1269–79. http://dx.doi.org/10.1142/s0217979206033905.

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The properties of the displaced Fock states (DFS's) superpositions are reviewed. The interaction of these states with a two-level atom in cavity with the presence of additional Kerr medium is studied. Exact general matrix elements of the time-dependent operators of a Jaynes-Cummings model (JCM), in the presence of a Kerr medium, with these states are derived. The atomic inversion and photon number distribution are discussed. The quantum entropy and the entanglement of the atom-field are investigated. The exact results are employed to perform a careful investigation of the temporal evolution of
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10

Xiaojuan, Li, Huang Mutao, and Li Jianbao. "Remote sensing inversion of lake water quality parameters based on ensemble modelling." E3S Web of Conferences 143 (2020): 02007. http://dx.doi.org/10.1051/e3sconf/202014302007.

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In this paper, combined with water quality sampling data and Landsat8 satellite remote sensing image data, the inversion model of Chl-a and TN water quality parameter concentration was constructed based on machine learning algorithm. After the verification and evaluation of the inversion results of the test samples, Chl-a TN inversion model with high correlation between model test results and measured data was selected to participate in remote sensing inversion ensemble modelling of water quality parameters. Then, the ensemble remote sensing inversion model of water quality parameters was esta
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11

de Lima, Igo Pedro, Sérgio Luiz E. F. da Silva, Gilberto Corso, and João M. de Araújo. "Tsallis Entropy, Likelihood, and the Robust Seismic Inversion." Entropy 22, no. 4 (2020): 464. http://dx.doi.org/10.3390/e22040464.

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The nonextensive statistical mechanics proposed by Tsallis have been successfully used to model and analyze many complex phenomena. Here, we study the role of the generalized Tsallis statistics on the inverse problem theory. Most inverse problems are formulated as an optimisation problem that aims to estimate the physical parameters of a system from indirect and partial observations. In the conventional approach, the misfit function that is to be minimized is based on the least-squares distance between the observed data and the modelled data (residuals or errors), in which the residuals are as
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12

Yee, E., K. V. Paulson, and G. G. Shepherd. "Minimum cross-entropy inversion of satellite photometer data." Applied Optics 26, no. 11 (1987): 2106. http://dx.doi.org/10.1364/ao.26.002106.

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13

Wallington, Sylvanie, Ramesh Narayan, and Christopher S. Kochanek. "Gravitational lens inversion using the maximum entropy method." Astrophysical Journal 426 (May 1994): 60. http://dx.doi.org/10.1086/174039.

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14

Macaulay, V. A., and B. Buck. "Linear inversion by the method of maximum entropy." Inverse Problems 5, no. 5 (1989): 859–74. http://dx.doi.org/10.1088/0266-5611/5/5/013.

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15

Sievert, Matthew D., Marilyn F. Bishop, and Tom McMullen. "Entropy of Charge Inversion in DNA including One-Loop Fluctuations." Entropy 25, no. 10 (2023): 1373. http://dx.doi.org/10.3390/e25101373.

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The entropy and charge distributions have been calculated for a simple model of polyelectrolytes attached to the surface of DNA using a field-theoretic method that includes fluctuations to the lowest one-loop order beyond mean-field theory. Experiments have revealed correlation-driven behavior of DNA in charged solutions, including charge inversion and condensation. In our model, the condensed polyelectrolytes are taken to be doubly charged dimers of length comparable to the distance between sites along the phosphate chains. Within this lattice gas model, each adsorption site is assumed to hav
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16

Zou, Youlong, Ranhong Xie, Yejiao Ding, and Alon Arad. "Inversion of nuclear magnetic resonance echo data based on maximum entropy." GEOPHYSICS 81, no. 1 (2016): D1—D8. http://dx.doi.org/10.1190/geo2015-0200.1.

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Nuclear magnetic resonance (NMR) [Formula: see text] inversion is an ill-posed problem in which regularization techniques are usually adopted to suppress the oscillations caused by noise in the solutions. The maximum entropy concept provides an unbiased way to obtain information from incomplete data, and it implicitly imposes a positive constraint on probability distribution, so we used the maximum entropy method to invert NMR echo data. We have developed a simple and effective method for solving the objective function of the maximum entropy method. First, the solution was replaced by a positi
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17

Karnatsevich, L. V., I. V. Bogoyavlenskiĭ, and V. G. Konareva. "The entropy–temperature diagram for 3He." Soviet Journal of Low Temperature Physics 13, no. 12 (1987): 710–11. https://doi.org/10.1063/10.0031836.

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The entropy–temperature diagram for 3He in the range 1.5 ≤ T ≤ 60 °K and l ≤ P ≤ 100 atm has been constructed on the basis of experimental P–V–T data for 3He. The inversion curve for the Joule–Thomson effect is also gien for 3He in P–T coordinates.
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18

Hamann, Heiko, Thomas Schmickl, and Karl Crailsheim. "Analysis of Swarm Behaviors Based on an Inversion of the Fluctuation Theorem." Artificial Life 20, no. 1 (2014): 77–93. http://dx.doi.org/10.1162/artl_a_00097.

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A grand challenge in the field of artificial life is to find a general theory of emergent self-organizing systems. In swarm systems most of the observed complexity is based on motion of simple entities. Similarly, statistical mechanics focuses on collective properties induced by the motion of many interacting particles. In this article we apply methods from statistical mechanics to swarm systems. We try to explain the emergent behavior of a simulated swarm by applying methods based on the fluctuation theorem. Empirical results indicate that swarms are able to produce negative entropy within an
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19

Ulrych, Tadeusz J., and Allan D. Woodbury. "Extensions to minimum relative entropy inversion for noisy data." Journal of Contaminant Hydrology 67, no. 1-4 (2003): 13–25. http://dx.doi.org/10.1016/s0169-7722(03)00093-7.

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20

Woodbury, Allan D., and Tadeusz J. Ulrych. "Minimum relative entropy and probabilistic inversion in groundwater hydrology." Stochastic Hydrology and Hydraulics 12, no. 5 (1998): 317–58. http://dx.doi.org/10.1007/s004770050024.

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21

ULRYCH, T., A. BASSREI, and M. LANE. "MINIMUM RELATIVE ENTROPY INVERSION OF 1D DATA WITH APPLICATIONS1." Geophysical Prospecting 38, no. 5 (1990): 465–87. http://dx.doi.org/10.1111/j.1365-2478.1990.tb01857.x.

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22

Ryzhikov, G., M. Biryulina, and A. Hanyga. "3D nonlinear inversion by entropy of image contrast optimization." Nonlinear Processes in Geophysics 2, no. 3/4 (1995): 228–40. http://dx.doi.org/10.5194/npg-2-228-1995.

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Abstract. An approach to solve 3D inverse problem associated with inverting seismic reflection data is presented. It exploits the a priori assumption that the reflection data, reduced properly, can be interpreted as a perturbation of a dynamical response of a certain 'reference background'. It is supposed that the corresponding perturbation of medium parameters can be treated in terms of the 'Ray + Born'- or 'Rytov + Born'- set of medium functions. This for the reflection data means that 'kinematical' part does not generate reflections, while proper reflections are caused by single-scattering
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23

Haidar, Nassar H. S. "Inversion of Fourier Transforms by Means of Scale-Frequency Series." International Journal of Engineering Mathematics 2014 (May 27, 2014): 1–10. http://dx.doi.org/10.1155/2014/686785.

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We report on inversion of the Fourier transform when the frequency variable can be scaled in a variety of different ways that improve the resolution of certain parts of the frequency domain. The corresponding inverse Fourier transform is shown to exist in the form of two dual scale-frequency series. Upon discretization of the continuous scale factor, this Fourier transform series inverse becomes a certain nonharmonic double series, a discretized scale-frequency (DSF) series. The DSF series is also demonstrated, theoretically and practically, to be rate-optimizable with respect to its two free
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24

Guo, Jiangfeng, Ranhong Xie, Youlong Zou, Guowen Jin, Lun Gao, and Chenyu Xu. "A new method for NMR data inversion based on double-parameter regularization." GEOPHYSICS 83, no. 5 (2018): JM39—JM49. http://dx.doi.org/10.1190/geo2017-0394.1.

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Nuclear magnetic resonance (NMR) technology plays a significant role in petroleum exploration. NMR data can be processed using inversion methods to reflect the relaxation information of all the components. We have developed a new double-parameter regularization (DPR) method for the inversion of NMR data, whose regularization terms consist of Tikhonov regularization and maximum entropy regularization. The objective function for the DPR method was solved using the Levenberg-Marquardt method, the proportional coefficient of the regularization parameter was obtained using an iteration procedure, a
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25

Escobar-Amado, Christian D., Mohsen Badiey, and David P. Knobles. "Bayesian maximum entropy for geoacoustic inversion using ship-radiated noise." Journal of the Acoustical Society of America 150, no. 4 (2021): A315. http://dx.doi.org/10.1121/10.0008419.

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26

Woodbury, Allan, Edward Sudicky, Tadeusz J. Ulrych, and Ralph Ludwig. "Three-dimensional plume source reconstruction using minimum relative entropy inversion." Journal of Contaminant Hydrology 32, no. 1-2 (1998): 131–58. http://dx.doi.org/10.1016/s0169-7722(97)00088-0.

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27

Raffah, Bahaaudin M., E. M. Khalil, S. Abdel-Khalek, et al. "Information quantifiers for trapped ion in a carrier excitation laser field." Modern Physics Letters A 35, no. 28 (2020): 2050235. http://dx.doi.org/10.1142/s0217732320502351.

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The laser field interacting with single trapped ion in a carrier excitation frame in the presence of an external field is investigated. Detailed analytical expressions are given, taking into account carrier excitation configurations. We study the evolution of the population inversion, fidelity, ion-field entanglement, Fisher information and the geometric phase. The results indicate the influence of the external field on the information quantities to describe some physical phenomena. The relation between the population inversion, fidelity, von Neumann entropy, Fisher information, and geometric
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28

Zou, Bo, Jingsheng Zhai, Jian Xu, Zhaoxing Li, and Sunpei Gao. "A Method for Estimating Dominant Acoustic Backscatter Mechanism of Water-Seabed Interface via Relative Entropy Estimation." Mathematical Problems in Engineering 2018 (December 2, 2018): 1–10. http://dx.doi.org/10.1155/2018/4272436.

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It is important to distinguish the dominant mechanism of seabed acoustic scattering for the quantitative inversion of seabed parameters. An identification scheme is proposed based on Bayesian inversion with the relative entropy used to estimate dominant acoustic backscatter mechanism. DiffeRential Evolution Adaptive Metropolis is used to obtain samples from posterior probability density in Bayesian inversion. Three mechanisms for seabed scattering are considered: scattering from a rough water-seabed interface, scattering from volume heterogeneities, and mixed scattering from both interface rou
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29

OBADA, A. S. F., and H. A. HESSIAN. "INFLUENCE OF SUPERPOSITION OF COHERENT STATES OF LIGHT ON THE EVOLUTION OF THE FIELD ENTROPY AND ENTANGLEMENT IN THE INTENSITY-DEPENDENT JCM." Modern Physics Letters B 16, no. 28n29 (2002): 1097–106. http://dx.doi.org/10.1142/s0217984902004597.

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We investigate the influence of superposition of coherent states of light on population inversion and the evolution of the field entropy for two-level atoms in the framework of the Jaynes–Cummings model. We compare the behavior of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. Our results show that the superposition of coherent states plays an important role in the evolution of the field entropy in the intensity-dependent Jaynes–Cummings model (JCM).
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30

Sreedhara, M. B., Simon Hettler, Ifat Kaplan-Ashiri, et al. "Asymmetric misfit nanotubes: Chemical affinity outwits the entropy at high-temperature solid-state reactions." Proceedings of the National Academy of Sciences 118, no. 35 (2021): e2109945118. http://dx.doi.org/10.1073/pnas.2109945118.

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Asymmetric two-dimensional (2D) structures (often named Janus), like SeMoS and their nanotubes, have tremendous scope in material chemistry, nanophotonics, and nanoelectronics due to a lack of inversion symmetry and time-reversal symmetry. The synthesis of these structures is fundamentally difficult owing to the entropy-driven randomized distribution of chalcogens. Indeed, no Janus nanotubes were experimentally prepared, so far. Serendipitously, a family of asymmetric misfit layer superstructures (tubes and flakes), including LaX-TaX2 (where X = S/Se), were synthesized by high-temperature chem
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31

Gulak, Yuriy, Eric Jayjock, Fernando Muzzio, Andrea Bauer, and Paul McGlynn. "Inversion of Andersen Cascade Impactor Data using the Maximum Entropy Method." Aerosol Science and Technology 44, no. 1 (2010): 29–37. http://dx.doi.org/10.1080/02786820903338280.

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32

Salama, Mhd Suhyb, and Fang Shen. "Stochastic inversion of ocean color data using the cross-entropy method." Optics Express 18, no. 2 (2010): 479. http://dx.doi.org/10.1364/oe.18.000479.

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33

RIETSCH, E. "THE MAXIMUM ENTROPY APPROACH TO THE INVERSION OF ONE-DIMENSIONAL SEISMOGRAMS1." Geophysical Prospecting 36, no. 4 (1988): 365–82. http://dx.doi.org/10.1111/j.1365-2478.1988.tb02169.x.

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Wallington, Sylvanie, Christopher S. Kochanek, and Ramesh Narayan. "LensMEM: A Gravitational Lens Inversion Algorithm Using the Maximum Entropy Method." Astrophysical Journal 465 (July 1996): 64. http://dx.doi.org/10.1086/177401.

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Hessian, H. A., A. B. A. Mohamed, and A. H. Homid. "Dispersive reservoir influence on the superconducting phase qubit." International Journal of Quantum Information 13, no. 07 (2015): 1550056. http://dx.doi.org/10.1142/s0219749915500562.

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An analytical description of a superconducting (SC) phase qubit coupled to a torsional resonator, which is damped by a dispersive reservoir, is presented based on the master equation. Therefore, the effect of the qubit phase damping on the dynamical behavior of the entanglement, purity loss and qubit inversion are investigated. It is found that the collapse and revival phenomena of qubit inversion are very sensitive not only to the damping parameter but also to the frequency detuning and the qubit distribution angle of the initial state. It is interesting to note that the purity of the state o
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Lu, Kai, Yibo Wang, Heting Han, Shichao Zhong, and Yikang Zheng. "Full-Waveform Inversion of Two-Parameter Ground-Penetrating Radar Based on Quadratic Wasserstein Distance." Remote Sensing 16, no. 22 (2024): 4146. http://dx.doi.org/10.3390/rs16224146.

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Full-waveform inversion (FWI) is one of the most promising techniques in current ground-penetrating radar (GPR) inversion methods. The least-squares method is usually used, minimizing the mismatch between the observed signal and the simulated signal. However, the cycle-skipping problem has become an urgent focus of this method because of the nonlinearity of the inversion problem. To mitigate the issue of local minima, the optimal transport problem has been introduced into full-waveform inversion in this study. The Wasserstein distance derived from the optimal transport problem is defined as th
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37

Elliott, J. A., and S. Hanna. "A model-independent maximum-entropy method for the inversion of small-angle X-ray diffraction patterns." Journal of Applied Crystallography 32, no. 6 (1999): 1069–83. http://dx.doi.org/10.1107/s0021889899010560.

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A model-independent maximum-entropy method is presented which will produce a structural model from small-angle X-ray diffraction data of disordered systems using no other prior information. In this respect, it differs from conventional maximum-entropy methods which assume the form of scattering entitiesa priori. The method is demonstrated using a number of different simulated diffraction patterns, and applied to real data obtained from perfluorinated ionomer membranes, in particular Nafion™, and a liquid crystalline copolymer of 1,4-oxybenzoate and 2,6-oxynaphthoate (B–N).
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38

Megías, Alberto, and Andrés Santos. "Relative entropy of freely cooling granular gases. A molecular dynamics study." EPJ Web of Conferences 249 (2021): 04006. http://dx.doi.org/10.1051/epjconf/202124904006.

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Whereas the original Boltzmann’s H-theorem applies to elastic collisions, its rigorous generalization to the inelastic case is still lacking. Nonetheless, it has been conjectured in the literature that the relative entropy of the velocity distribution function with respect to the homogeneous cooling state (HCS) represents an adequate nonequilibrium entropy-like functional for an isolated freely cooling granular gas. In this work, we present molecular dynamics results reinforcing this conjecture and rejecting the choice of the Maxwellian over the HCS as a reference distribution. These results a
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39

Nahla, Abdallah A., and M. M. A. Ahmed. "Nonclassical properties of asymmetric two two-level atoms interacting with multi-photon quantized field." International Journal of Modern Physics B 32, no. 23 (2018): 1850250. http://dx.doi.org/10.1142/s0217979218502508.

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A quantum model for the interaction between asymmetric two two-level atoms and an electromagnetic field is presented. The [Formula: see text]-photon processes and atom–atom interaction are considered in this quantum model. The wavefunction for asymmetric case of the proposed model is obtained analytically. While, the explicit analytical formula of the wavefunction for symmetric case was calculated in previous works. Initially, the electromagnetic field is in the coherent state and two two-level atoms are identical in the excited states. For the proposed model, some statistical aspects are obta
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40

Santana, Thais Gomes, and Amin Bassrei. "INVERSION OF INTERVAL VELOCITIES: APPLICATION TO A GEOLOGICAL MODEL FROM A PRE-SALT AREA." Revista Brasileira de Geofísica 33, no. 1 (2015): 19. http://dx.doi.org/10.22564/rbgf.v33i1.598.

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ABSTRACT. Seismic methods study the propagation of elastic wave fields inside the Earth, with the goal to provide subsurface images. In this work, the determination of the time interval velocity distribution is the main information provided. Several synthetic models were used, where one is based in a real situation, a dip section from the pre-salt region, central part of the Santos Basin, Brazil. Themethods used to determine interval velocities were based on the Dix transform, singular value decomposition (SVD) and minimum relative entropy (MRE). Dix transform showed excellent results when use
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41

Mohamed, Abdel-Baset, Shoukry Hassan, and Rania Alharbey. "Quantum Interference Effects on Information Phase Space and Entropy Squeezing." Entropy 21, no. 2 (2019): 147. http://dx.doi.org/10.3390/e21020147.

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Wehrl entropy and its density are used to investigate the dynamics of loss of coherence and information in a phase space for an atomic model of two-photon two-level atom coupled to different radiation reservoirs (namely, normal vacuum (NV), thermal field (TF) and squeezed vacuum (SV) reservoirs). Particularly, quantum interference (QI) effect, due to the 2-photon transition decay channels, has a paramount role in: (i) the atomic inversion decay in the NV case, which behaves as quantum Zeno and anti-Zeno decay effect; (ii) the coherence and information loss in the phase space; and (iii) identif
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42

Abdel-Khalek, S., M. S. Almalki, and E. Edfawy. "Dynamical Properties of Scaled Atomic Wehrl Entropy of Multiphoton JCM in the Presence of Atomic Damping." Advances in Condensed Matter Physics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/879058.

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We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the
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43

van den Boogaart, K. Gerald, and Ralf Hielscher. "Determination of an ODF from Diffraction Measurements Based on Optimal Smoothing Splines." Materials Science Forum 495-497 (September 2005): 267–72. http://dx.doi.org/10.4028/www.scientific.net/msf.495-497.267.

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A long time has past since the introduction of the harmonic method for the reconstruction of the ODF from polefigure measurements, and it has been replaced by discrete methods of inversion, because of its incapability with respect to ghost effects. The harmonic method is still not in its best possible state: it disregards the high order harmonics; it disregards measurement errors and therefore gives suboptimal results; it does not provide standard errors, neither for the C-coefficients nor for the ODF; and there are the ghost effects. However, the harmonic method is a well established inversio
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Fernández-Caballero, Antonio, Mark Fedorov, Jan Wróbel, Paul Mummery, and Duc Nguyen-Manh. "Configurational Entropy in Multicomponent Alloys: Matrix Formulation from Ab Initio Based Hamiltonian and Application to the FCC Cr-Fe-Mn-Ni System." Entropy 21, no. 1 (2019): 68. http://dx.doi.org/10.3390/e21010068.

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Configuration entropy is believed to stabilize disordered solid solution phases in multicomponent systems at elevated temperatures over intermetallic compounds by lowering the Gibbs free energy. Traditionally, the increment of configuration entropy with temperature was computed by time-consuming thermodynamic integration methods. In this work, a new formalism based on a hybrid combination of the Cluster Expansion (CE) Hamiltonian and Monte Carlo simulations is developed to predict the configuration entropy as a function of temperature from multi-body cluster probability in a multi-component sy
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45

Kompanichenko, Vladimir. "Thermodynamic Jump from Prebiotic Microsystems to Primary Living Cells." Sci 1, no. 2 (2019): 35. http://dx.doi.org/10.3390/sci1020035.

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It is proposed that the primary living cells (“probionts”) cannot emerge of organic substance simply by continuous chemical complication of prebiotic macromolecules and microsystems. The complication must be accompanied by the radical thermodynamic transformation (“jump”) of prebiotic microsystems that resulted in the acquired ability to extract free energy from the environment and export entropy. This transformation is called “the thermodynamic inversion” The inversion may occur by means of the efficient (intensified) response of the microsystems on the oscillations of physic-chemical paramet
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46

Kompanichenko, Vladimir. "Thermodynamic Jump from Prebiotic Microsystems to Primary Living Cells." Sci 2, no. 1 (2020): 14. http://dx.doi.org/10.3390/sci2010014.

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It is proposed that the primary living cells (“probionts”) cannot emerge of organic substance simply by continuous chemical complication of prebiotic macromolecules and microsystems. The complication must be accompanied by the radical thermodynamic transformation (“jump”) of prebiotic microsystems that resulted in the acquired ability to extract free energy from the environment and export entropy. This transformation is called “the thermodynamic inversion” The inversion may occur by means of the efficient (intensified) response of the microsystems on the oscillations of physic-chemical paramet
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47

Feldhoff, Armin. "Power Conversion and Its Efficiency in Thermoelectric Materials." Entropy 22, no. 8 (2020): 803. http://dx.doi.org/10.3390/e22080803.

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The basic principles of thermoelectrics rely on the coupling of entropy and electric charge. However, the long-standing dispute of energetics versus entropy has long paralysed the field. Herein, it is shown that treating entropy and electric charge in a symmetric manner enables a simple transport equation to be obtained and the power conversion and its efficiency to be deduced for a single thermoelectric material apart from a device. The material’s performance in both generator mode (thermo-electric) and entropy pump mode (electro-thermal) are discussed on a single voltage-electrical current c
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48

Krysta, M., M. Bocquet, and J. Brandt. "Probing ETEX-II data set with inverse modelling." Atmospheric Chemistry and Physics Discussions 8, no. 1 (2008): 2795–819. http://dx.doi.org/10.5194/acpd-8-2795-2008.

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Abstract. We give here an account on the results of source inversion of the ETEX-II experiment. Inversion has been performed with the maximum entropy method on the basis of non-zero measurements and in conjunction with a transport model Polair3D. The discrepancy scaling factor between the true and the reconstructed mass has been estimated to be equal to 7. The results contrast with the method's performance on the ETEX-I source. In the latter case its mass has been reconstructed with an accuracy exceeding 80%. The large value of the discrepancy factor for ETEX-II could be ascribed to modelling
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49

Krysta, M., M. Bocquet, and J. Brandt. "Probing ETEX-II data set with inverse modelling." Atmospheric Chemistry and Physics 8, no. 14 (2008): 3963–71. http://dx.doi.org/10.5194/acp-8-3963-2008.

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Abstract. We give here an account on the results of source inversion of the ETEX-II experiment. Inversion has been performed with the maximum entropy method on the basis of non-zero measurements and in conjunction with a transport model POLAIR3D. The discrepancy scaling factor between the reconstructed and the true mass has been estimated to be equal to 7. The results contrast with the method's performance on the ETEX-I source. In the latter case its mass has been reconstructed with an accuracy exceeding 80%. The large value of the discrepancy factor for ETEX-II could be ascribed to modelling
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50

Dick, Bernhard. "Inverting ion images without Abel inversion: maximum entropy reconstruction of velocity maps." Phys. Chem. Chem. Phys. 16, no. 2 (2014): 570–80. http://dx.doi.org/10.1039/c3cp53673d.

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