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We study an effective relativistic mean-field model of nuclear matter with arbitrary proton fraction at finite temperature in the framework of nonextensive statistical mechanics, characterized by power-law quantum distributions. We…

Nuclear Theory · Physics 2015-06-16 A. Lavagno , D. Pigato

The recent experimental realization of exotic matter states in isolated quantum systems and the ensuing controversy about the existence of negative absolute temperatures demand a careful analysis of the conceptual foundations underlying…

Statistical Mechanics · Physics 2015-01-05 Stefan Hilbert , Peter Hänggi , Jörn Dunkel

The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the relative entropy of a quantum state with respect to…

Quantum Physics · Physics 2020-11-11 Neil Dowling , Stefan Floerchinger , Tobias Haas

We study occupation time statistics in ergodic continuous-time random walks. Under thermal detailed balance conditions, the average occupation time is given by the Boltzmann-Gibbs canonical law. But close to the non-ergodic phase, the…

Statistical Mechanics · Physics 2015-06-24 Johannes H. P. Schulz , Eli Barkai

We present some novel thermodynamic ideas based on the Maupertuis principle. By considering Hamiltonians written in terms of appropriate action-angle variables we show that thermal states can be characterized by the action variables and by…

Statistical Mechanics · Physics 2008-04-15 V. Garcia-Morales , J. Pellicer , J. A. Manzanares

This paper systematically investigates the thermodynamic properties of classical oscillators under different statistical distributions, focusing on the behavior of uniform distribution, two-level distribution, gamma distribution, log-normal…

Statistical Mechanics · Physics 2025-03-11 Huilin Wang

The present work deals with irreversible Universal thermodynamics. The homogenous and isotropic flat model of the universe is chosen as open thermodynamical system and non-equilibrium thermodynamics comes into picture due to the mechanism…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Subhajit Saha , Atreyee Biswas , Subenoy Chakraborty

For processes during which a macroscopic system exchanges no heat with its surroundings, the second law of thermodynamics places two lower bounds on the amount of work performed on the system: a weak bound, expressed in terms of a…

Statistical Mechanics · Physics 2019-07-24 Christopher Jarzynski

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

Statistical Mechanics · Physics 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

A finite point process is characterized by the distribution of the number of points (the size) of the process. In some applications, for example, in the context of packet flows in modern communication networks, it is of interest to infer…

Statistics Theory · Mathematics 2016-02-03 Ritwik Chaudhuri , Vladas Pipiras

This paper gives an overview of recent results concerning the long time dynamics of repeated interaction quantum systems in a deterministic and random framework. We describe the non equilibrium steady states (NESS) such systems display and…

Mathematical Physics · Physics 2017-08-23 Alain Joye

Consistent statistical physical description is given for systems where the elementary excitations are composite objects. Explicit calculational scheme is constructed for the energy density and the total number of thermodynamical degrees of…

High Energy Physics - Phenomenology · Physics 2011-03-01 A. Jakovac

Despite the importance of the Second Law of Thermodynamics, it is not absolute. Statistical mechanics implies that, given sufficient time, systems near equilibrium will spontaneously fluctuate into lower-entropy states, locally reversing…

High Energy Physics - Theory · Physics 2015-05-30 Anthony Aguirre , Sean M. Carroll , Matthew C. Johnson

We show that an equilibriumlike additivity property can remarkably lead to power-law distributions observed frequently in a wide class of out-of-equilibrium systems. The additivity property can determine the full scaling form of the…

Statistical Mechanics · Physics 2015-12-17 Arghya Das , Sayani Chatterjee , Punyabrata Pradhan , P. K. Mohanty

The present paper proposes a Statistical Mechanics approach to the inherent states of glassy systems and granular materials, following the original ideas developed by Edwards for granular materials. Two lattice models, a diluted Spin Glass…

Statistical Mechanics · Physics 2009-11-07 Annalisa Fierro , Mario Nicodemi , Antonio Coniglio

Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in…

In this paper, we analyze the relationship between entropy and information in the context of the mixing process of two identical ideal gases. We will argue that entropy has a special information-based feature that is enfolded in the…

Quantum Physics · Physics 2015-06-26 Afshin Shafiee , Majid Karimi

We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the…

Statistical Mechanics · Physics 2009-11-13 Erik Van der Straeten , Christian Beck

In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states we stressed the importance of being able to scale a system's size without changing its intrinsic properties. This…

Mathematical Physics · Physics 2015-06-19 Elliott H. Lieb , Jakob Yngvason

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

Statistical Mechanics · Physics 2015-06-11 Tânia Tomé , Mário J. de Oliveira
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