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Fluctuation-dissipation relations or "theorems" (FDTs) are fundamental for statistical physics and can be rigorously derived for equilibrium systems. Their applicability to non-equilibrium systems is, however, debated. Here, we simulate an…

Statistical Mechanics · Physics 2021-09-15 Gerhard Jung , Friederike Schmid

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

Statistical Mechanics · Physics 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

We consider overdamped Brownian particles with two degrees of freedom (DoF) that are confined in a time-varying quadratic potential and are in simultaneous contact with heat baths of different temperatures along the respective DoF. The…

Statistical Mechanics · Physics 2024-06-21 Jordi Ventura Siches , Olga Movilla Miangolarra , Tryphon T. Georgiou

We present a new class of fluctuation relations, to which we will refer as Fluctuation Relations for Current Components (FRCCs). FRCCs can be used to estimate system parameters when complete information about nonequilibrium many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Sriram Ganeshan , N. A. Sinitsyn

The fluctuation theorem is a pivotal result of statistical physics. It quantifies the probability of observing fluctuations which are in violation of the second law of thermodynamics. More specifically, it quantifies the ratio of the…

Statistical Mechanics · Physics 2011-08-26 M. Belushkin , R. Livi , G. Foffi

The paper assesses stationary probability distributions in out of equilibrium systems. In the phenomenology proposed, no free energy can be well defined. Fluctuations of Landau free energy couplings arise when the intrinsic chemical…

Statistical Mechanics · Physics 2012-01-31 Guillaume Attuel

The orientation fluctuations of the director of a liquid crystal are measured, by a sensitive polarization interferometer, close to the Fr\'eedericksz transition, which is a second order transition driven by an electric field. Using mean…

Statistical Mechanics · Physics 2009-11-13 Sylvain Joubaud , Guillaume Huillard , Artyom Petrosyan , Sergio Ciliberto

We investigate violations of the fluctuation-dissipation theorem in two classes of trap models by studying the influence of the perturbing field on the transition rates. We show that for perturbed rates depending upon the value of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. Ritort

We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in the limit of long times, be used to define…

Statistical Mechanics · Physics 2007-05-23 P Sollich , S Fielding , P Mayer

Fluctuation theorems provide universal constraints on nonequilibrium energy and entropy fluctuations, making them a natural framework to assess how and to what extent quantum resources become thermodynamically relevant. We develop a unified…

Quantum Physics · Physics 2025-12-19 Sukrut Mondkar , Sayan Mondal , Ujjwal Sen

We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

Statistical Mechanics · Physics 2018-08-01 Naoto Tsuji , Masahito Ueda

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

Statistical Mechanics · Physics 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

Statistical Mechanics · Physics 2025-05-13 Stephen Whitelam

We use the theory of the fluctuating electromagnetic field to calculate the frictional drag between nearby two-and three dimensional electron systems. The frictional drag results from coupling via a fluctuating electromagnetic field, and…

Materials Science · Physics 2009-11-11 A. I. Volokitin , B. N. J. Persson

We investigate the connection between recent results in quantum thermodynamics and fluctuation relations by adopting a fully quantum mechanical description of thermodynamics. By including a work system whose energy is allowed to fluctuate,…

Quantum Physics · Physics 2017-03-27 Álvaro M. Alhambra , Lluis Masanes , Jonathan Oppenheim , Christopher Perry

There has been an increasing interest in the quantification of nearly deterministic work extraction from a finite number of copies of microscopic particles in finite time. This paradigm, so called single-shot epsilon-deterministic work…

Quantum Physics · Physics 2017-11-22 Sina Salek , Karoline Wiesner

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems…

Statistical Mechanics · Physics 2015-05-13 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

A Response Function Theory and Scattering Theory applicable to the study of physical properties of systems driven arbitrarily away from equilibrium, specialized for dealing with ultrafast processes and in conditions of space resolution…

Statistical Mechanics · Physics 2012-10-31 Clóves G. Rodrigues , Áurea R. Vasconcellos , José Galvão Ramos , Roberto Luzzi

The impact of leading collective electronic fluctuations on a free energy of a prototype 1D model for molecular systems is considered within the recently developed Fluctuating Local Field (FLF) approach. The FLF method is a non-perturbative…

Strongly Correlated Electrons · Physics 2022-01-14 Yana S. Lyakhova , Evgeny A. Stepanov , Alexey N. Rubtsov
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