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We analyze the violations of linear fluctuation-dissipation theorem (FDT) in the coarsening dynamics of the antiferromagnetic Ising model on percolation clusters in two dimensions. The equilibrium magnetic response is shown to be non linear…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. Butaud , R. Mélin

Dynamical mean-field theory (DMFT) provides an optimal local approximation for correlated lattice systems by mapping the lattice onto a self-consistent effective impurity model. To account for the missing long-range correlations, we propose…

Strongly Correlated Electrons · Physics 2026-03-04 S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We derive a generalized quantum Langevin equation and its fluctuation-dissipation relation describing the quantum dynamics of a tagged particle interacting with a medium (environment), where both the particle and the environment are driven…

Quantum Physics · Physics 2025-07-11 Daniele Gamba , Bingyu Cui , Alessio Zaccone

The question how to introduce thermal fluctuations in the equation of motion of a magnetic system is addressed. Using the approach of the fluctuation-dissipation theorem we calculate the properties of the noise for both, the fluctuating…

Statistical Mechanics · Physics 2009-11-07 O. Chubykalo , R. Smirnov-Rueda , M. A. Wongsam , R. W. Chantrell , U. Nowak , J. M. Gonzalez

A general theory of thermal magnetic fluctuations near conductive materials is developed; such fluctuations are the magnetic analog of Johnson noise. For realistic experiments in quantum computing and magnetic resonance force microscopy,…

Quantum Physics · Physics 2007-05-23 J. A. Sidles , J. L. Garbini , W. M. Dougherty , S. H. Chao

A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbation from an appropriate time correlation function of the…

Mathematical Physics · Physics 2019-10-02 Rafail V. Abramov

We develop an open quantum theory for shot-noise dynamics in dissipative chiral transport. By mapping a system under consideration onto a quantum circuit, we show that current noise is governed by two competing factors: the average…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Ming Gong , Masahito Ueda

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

Probability · Mathematics 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

We continue our earlier investigation of the backreaction problem in semiclassical gravity with the Schwinger-Keldysh or closed-time-path (CTP) functional formalism using the language of the decoherent history formulation of quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Esteban Calzetta , B. L. Hu

Breakdown of time-reversal symmetry is a defining property of non-equilibrium systems, such as active matter, which is composed of units that consume energy. We employ a formalism that allows us to derive a class of identities associated…

Statistical Mechanics · Physics 2025-09-26 Martin Kjøllesdal Johnsrud , Ramin Golestanian

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

It is still a debated issue whether all critical active particles belong to the same universality class. Here we numerically study the critical behavior of quorum sensing active particles that represents the archetypal model for…

Statistical Mechanics · Physics 2022-10-21 Nicoletta Gnan , Claudio Maggi

Photons are emitted or absorbed by a nano-circuit under both equilibrium and non-equilibrium situations. Here, we focus on the non-equilibrium situation arising due to a temperature difference between the leads of a quantum point contact,…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 K. Iyer , J. Rech , T. Jonckheere , L. Raymond , B. Grémaud , T. Martin

We study the non-equilibrium version of the fluctuation-dissipation theorem (FDT) within the glass phase of Bouchaud's trap model. We incorporate into the model an arbitrary observable m and obtain its correlation and response functions in…

Statistical Mechanics · Physics 2009-11-07 Suzanne Fielding , Peter Sollich

For soft matter systems strongly driven by stationary flow, we discuss an extended fluctuation-dissipation theorem (FDT). Beyond the linear response regime, the FDT for the stress acquires an additional contribution involving the observable…

Soft Condensed Matter · Physics 2009-05-29 Thomas Speck , Udo Seifert

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

The ubiquitous effects of the environment on quantum-mechanical systems generally cause temporally correlated fluctuations. This particularly holds for systems of interest for quantum computation where such effects lead to correlated…

Quantum Physics · Physics 2025-04-23 Balázs Gulácsi , Guido Burkard

Fluctuation theorems are key to understanding both fundamental and applied aspects of non-equilibrium thermodynamics of small systems. We study the non-Markovian entropy production fluctuation theorem for the diffusion process of charged…

Statistical Mechanics · Physics 2026-05-06 K. S. Rodríguez-Vigil , M. A. Bastarrachea-Magnani , J. I. Jiménez-Aquino

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus

The study of nonequilibrium phenomena in correlated lattice systems has developed into an active and exciting branch of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of…

Strongly Correlated Electrons · Physics 2014-07-11 Hideo Aoki , Naoto Tsuji , Martin Eckstein , Marcus Kollar , Takashi Oka , Philipp Werner