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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.…

Statistical Mechanics · Physics 2021-04-29 Pedro Pessoa , Felipe Xavier Costa , Ariel Caticha

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

Statistical Mechanics · Physics 2010-09-10 Thomas Speck

The ultimate purpose of the statistical analysis of ordinal patterns is to characterize the distribution of the features they induce. In particular, knowing the joint distribution of the pair Entropy-Statistical Complexity for a large class…

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

For general metric theories of gravity, we compare the approach that describes-derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Alessandro Pesci

We use a simple hard-core gas model to study the dynamics of small exploding systems. The system is initially prepared in a thermalized state in a spherical container and then allowed to expand freely into the vacuum. We follow the…

Nuclear Theory · Physics 2015-06-26 J. P. Bondorf , I. N. Mishustin , G. Neergaard

The microcanonical statistical mechanics of a set of self-gravitating particles is analyzed in mean-field approach. In order to deal with an upper bounded entropy functional, a softened gravitational potential is used. The softening is…

Statistical Mechanics · Physics 2008-11-26 Eduardo Follana , Victor Laliena

Paper on the creep tide theory and its applications to satellites and planets with emphasis on a new set of differential equations allowing easier numerical studies. The creep tide theory is a new paradigm that does not fix a priori the…

Earth and Planetary Astrophysics · Physics 2020-04-03 Sylvio Ferraz-Mello , Cristian Beaugé , Hugo Alberto Folonier , Gabriel Oliveira Gomes

The present paper is devoted to investigating the possibility of getting stellar interiors for ultra-dense compact spherical systems portraying an anisotropic matter distribution employing the gravitational decoupling by means of Minimal…

General Relativity and Quantum Cosmology · Physics 2020-03-12 S. K. Maurya , Abdelghani Errehymy , Ksh. Newton Singh , Francisco Tello-Ortiz , Mohammed Daoud

We develop a maximum relative entropy formalism to generate optimal approximations to probability distributions. The central results consist in (a) justifying the use of relative entropy as the uniquely natural criterion to select a…

Statistical Mechanics · Physics 2008-10-17 Chih-Yuan Tseng , Ariel Caticha

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

Tidal interaction governs the redistribution of angular momentum in close binary stars and planetary systems and determines the systems evolution towards the possible equilibrium state. Turbulent friction acting on the equilibrium tide in…

Solar and Stellar Astrophysics · Physics 2018-07-11 P. G. Beck , S. Mathis , F. Gallet , C. Charbonnel , M. Benbakoura , R. A. García , J. -D. do Nascimento

I propose a new algorithm, a free energy Monte Carlo algorithm, for calculations where conventional Monte Carlo simulations struggle with ergodicity problems. The simplest version of the proposed algorithm allows for the determination of…

Condensed Matter · Physics 2007-05-23 M. J. Thill

A generalization of the Gibbs entropy postulate is proposed based on the BBGKY hierarchy as the nonequilibrium entropy for a system of N interacting particles. This entropy satisfies the basic principles of thermodynamics in the sense that…

Statistical Mechanics · Physics 2007-05-23 A. Perez-Madrid

We propose a generic mechanism for the emergence of a gravitational potential that acts on all classical objects in a quantum system. Our conjecture is based on the analysis of mutual information in many-body quantum systems. Since…

Quantum Physics · Physics 2017-09-13 Dries Sels , Michiel Wouters

I review a new (and still tentative) approach to black hole thermodynamics that seeks to explain black hole entropy in terms of microscopic quantum gravitational boundary states induced on the black hole horizon.

General Relativity and Quantum Cosmology · Physics 2008-02-03 S. Carlip

We derive a formula for the nonequilibrium entropy of a classical stochastic field in terms of correlation functions of this field. The formalism is then applied to define the entropy of gravitational perturbations (both gravitational waves…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Brandenberger , T. Prokopec , V. Mukhanov

Counting the number of ground states for a spin-glass or NP-complete combinatorial optimization problem is even more difficult than the already hard task of finding a single ground state. In this paper the entropy of minimum vertex-covers…

Disordered Systems and Neural Networks · Physics 2009-03-17 Jie Zhou , Haijun Zhou

We present a novel method for determining the total matter surface density of the Galactic disk by analysing the kinematics of a dynamically cold stellar stream that passes through or close to the Galactic plane. The method relies on the…

Astrophysics of Galaxies · Physics 2020-06-24 Axel Widmark , Khyati Malhan , Pablo F. de Salas , Sofia Sivertsson

Flattened axisymmetric galactic potentials are known to host minor orbit families surrounding orbits with commensurable frequencies. The behavior of orbits that belong to these orbit families is fundamentally different than that of typical…

Astrophysics of Galaxies · Physics 2023-01-09 Tomer D. Yavetz , Kathryn V. Johnston , Sarah Pearson , Adrian M. Price-Whelan , Martin D. Weinberg