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One of the major goals of quantum thermodynamics is the characterization of irreversibility and its consequences in quantum processes. Here, we discuss how entropy production provides a quantification of the irreversibility in open quantum…

The definition of nonequilibrium entropy is provided for the general nonequilibrium processes by connecting thermodynamics with statistical physics, and the principle of entropy increment in the nonequilibrium processes is also proved in…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Xiaochun Mei

We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify the phase transitions of the dynamics. We compute the positive…

Operator Algebras · Mathematics 2020-01-24 Evgenios T. A. Kakariadis

The minimum entropy production principle provides an approximative variational characterization of close-to-equilibrium stationary states, both for macroscopic systems and for stochastic models. Analyzing the fluctuations of the empirical…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny

Irreversibility is a fundamental concept with important implications at many levels. It pinpoints the fundamental difference between the intrinsically reversible microscopic equations of motion and the unidirectional arrow of time that…

Quantum Physics · Physics 2019-05-01 T. B. Batalhao , S. Gherardini , J. P. Santos , G. T. Landi , M. Paternostro

A large deviation technique is applied to the mean-field phi4-model, providing an exact expression for the configurational entropy s(v,m) as a function of the potential energy v and the magnetization m. Although a continuous phase…

Statistical Mechanics · Physics 2007-05-23 Ingo Hahn , Michael Kastner

Using fluorescence spectroscopy we directly measure entropy production of a single two-level system realized experimentally as an optically driven defect center in diamond. We exploit a recent suggestion to define entropy on the level of a…

Statistical Mechanics · Physics 2007-05-23 C. Tietz , S. Schuler , T. Speck , U. Seifert , J. Wrachtrup

The transition from a non-equilibrium state to an equilibrium state is characterized not only by the disappearance of the entropy production, but mainly by the disappearance of the organized currents, due to the gradients present in a…

Statistical Mechanics · Physics 2013-08-15 E. G. D. Cohen , R. L. Merlino

Persistent entropy (PE) is an information-theoretic summary statistic of persistence barcodes that has been widely used to detect regime changes in complex systems. Despite its empirical success, a general theoretical understanding of when…

Machine Learning · Statistics 2026-02-11 Matteo Rucco

The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium systems are reviewed and some properties of an energy function which may allow phase transitions and phase ordering in one dimension are identified. We…

Statistical Mechanics · Physics 2015-06-24 M. R. Evans

How is the irreversibility of a high-dimensional chaotic system controlled by the heterogeneity in the non-reciprocal interactions among its elements? In this paper, we address this question using a stochastic model of random recurrent…

Statistical Mechanics · Physics 2025-02-18 Tuan Pham , Albert Alonso , Karel Proesmans

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this article, we…

Statistical Mechanics · Physics 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo

Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying processes for which the non-equilibrium variables are functions of the equilibrium ones. The embedding theorem which…

Statistical Mechanics · Physics 2021-07-21 Wolfgang Muschik

Problem of classification of all the set of entangled states is considered. Invariance of entangled states relative to transformations from a group of symmetry of qubit space leads to classification of all states of the system through…

Quantum Physics · Physics 2007-05-23 Constantin V. Usenko

We analyse a non-equilibrium exclusion process in which particles are created and annihilated in pairs and hop to the the right or to the left with different transition rates, $p$ and $q$, respectively. We have studied the dynamics of a…

Statistical Mechanics · Physics 2016-01-20 M. O. Hase , T. Tomé , M. J. de Oliveira

We propose a stochastic dynamics to be associated to a deterministic motion defined by a set of first order differential equation. The transitions that defined the stochastic dynamics are unidirectional and the rates are equal to the…

Statistical Mechanics · Physics 2024-11-13 Mário J. de Oliveira

It is shown that the most important feature of Non-Equilibrium Thermodynamics is not the entropy production, but the organization of the currents in order to flow. This is also needed to obtain the maximum entropy in the equilibrium state,…

Statistical Mechanics · Physics 2015-03-30 E. G. D. Cohen

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

We evaluate entropy production in a photovoltaic cell that is modeled by four electronic levels resonantly coupled to thermally populated field modes at different temperatures. We use a formalism recently proposed, the so-called multiple…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Mohammad H. Ansari

Entropy production is the hallmark of nonequilibrium physics, quantifying irreversibility, dissipation, and the efficiency of energy transduction processes. Despite many efforts, its measurement at the nanoscale remains challenging. We…

Biological Physics · Physics 2024-03-29 I. Di Terlizzi , M. Gironella , D. Herraez-Aguilar , T. Betz , F. Monroy , M. Baiesi , F. Ritort