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We study the probability density function for the fluctuations of the magnetic order parameter in the low temperature phase of the XY model of finite size. In two-dimensions this system is critical over the whole of the low temperature…

Statistical Mechanics · Physics 2009-10-31 S. T. Bramwell , J. -Y. Fortin , P. C. W. Holdsworth , S. Peysson , J. -F. Pinton , B. Portelli , M. Sellitto

We investigate the decomposition of the total entropy production in continuous stochastic dynamics when there are odd-parity variables that change their signs under time reversal. The first component of the entropy production, which…

Statistical Mechanics · Physics 2020-01-08 Joonhyun Yeo , Chulan Kwon , Hyun Keun Lee , Hyunggyu Park

Large entropy fluctuations in an equilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2--freedom strongly chaotic Hamiltonian model described by the modified Arnold cat map. The rise…

Chaotic Dynamics · Physics 2009-10-31 B. V. Chirikov , O. V. Zhirov

In this work, we develop a generalisation of the thermal entropy to complex inverse temperatures, which we call the thermal pseudo-entropy. We show that this quantity represents the pseudo-entropy of the transition matrix between…

High Energy Physics - Theory · Physics 2024-11-20 Pawel Caputa , Bowen Chen , Tadashi Takayanagi , Takashi Tsuda

The block entanglement entropy and fluctuations are investigated in one dimension in finite size correlated electron systems using the Gutzwiller wave function as a prototype correlated electron state. Entanglement entropy shows logarithmic…

Strongly Correlated Electrons · Physics 2014-07-07 Archak Purkayastha , V. Subrahmanyam

An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an…

Pricing of Securities · Quantitative Finance 2019-08-28 Mohammad Abedi , Daniel Bartolomeo

In nonequilibrium systems with uncoupled currents, the thermodynamic affinity determines the direction of currents, quantifies dissipation, and constrains current fluctuations. However, these properties of the thermodynamic affinity do not…

Statistical Mechanics · Physics 2025-04-11 Adarsh Raghu , Izaak Neri

We present a general framework for deriving entropy production rates (EPRs) in active matter systems driven by non-Gaussian active fluctuations. Employing the probability-flow equivalence technique, we rigorously obtain an entropy…

Statistical Mechanics · Physics 2025-12-12 Yuanfei Huang , Chengyu Liu , Bing Miao , Xiang Zhou

Biochemical signaling cascades transmit intracellular information while dissipating energy under nonequilibrium conditions. We model a cascade as a code string and apply information-entropy ideas to quantify an optimal transmission rate. A…

Molecular Networks · Quantitative Biology 2026-01-21 Tatsuaki Tsuruyama

The fluctuation theorem for entropy production is a remarkable symmetry of the distribution of produced entropy that holds universally in non-equilibrium steady states with Markovian dynamics. However, in systems with slow degrees of…

Statistical Mechanics · Physics 2018-02-21 Matthias Uhl , Patrick Pietzonka , Udo Seifert

Entropy production (EP) is known as a fundamental quantity for measuring the irreversibility of processes in thermal equilibrium and states far from equilibrium. In stochastic thermodynamics, the EP becomes more visible in terms of the…

Statistical Mechanics · Physics 2020-06-24 Jaewoo Jung , Jaegon Um , Deokjae Lee , Yong W. Kim , D. Y. Lee , H. K. Pak , B. Kahng

The static and dynamic properties of the isotropic XY-model $(s=1/2)$ on the inhomogeneous periodic chain, composed of \emph{N} segments with \emph{n} different exchange interactions and magnetic moments, in a transverse field \emph{h} are…

Statistical Mechanics · Physics 2009-11-11 J. P de Lima , T. F. A. Alves , L. L. Goncalves

We investigate fluctuations in the momentum flux across a surface perpendicular to the velocity gradient in a stationary shear flow maintained by either thermostated deterministic or by stochastic boundary conditions. In the deterministic…

Chaotic Dynamics · Physics 2009-11-07 Federico Bonetto , Joel Lebowitz

With the help of the coherent states' basis we establish an interesting connection among i) the so-called Wehrl entropy, ii) Fisher's information measure $I$, and iii) the canonical ensemble entropy for the one-dimensional quantum harmonic…

Statistical Mechanics · Physics 2009-11-10 F. Pennini , A. Plastino

Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Jincheng Lu , Rongqian Wang , Chen Wang , Jian-Hua Jiang

We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuous potentials, and all weak Gibbs states. In particular, we…

Mathematical Physics · Physics 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

We discuss a simple but experimentally realistic model system, a single-electron box (SEB), where common fluctuation relations can be tested for driven electronic transitions. We show analytically that when the electron system on the SEB…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 J. P. Pekola , A. Kutvonen , T. Ala-Nissila

Stochastic thermodynamics provides the framework to analyze thermodynamic laws and quantities along individual trajectories of small but fully observable systems. If the observable level fails to capture all relevant degrees of freedom,…

Statistical Mechanics · Physics 2024-07-01 Julius Degünther , Jann van der Meer , Udo Seifert

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

We show that in the linear response approximation only entropy provides coupling between thermal and electric phenomena. The dissipationless quantum currents -- magnetization, superconducting, persistent and topological edge currents -- do…

General Physics · Physics 2022-03-24 Andrei Sergeev , Michael Reizer