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A fluctuation theory is presented for the nonequilibrium second order phase transition in a quasi-two-dimensional electron gas. A transverse (with respect to the current through the sample) spontaneous electric field as an order parameter…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. M. Shmelev , E. M. Epshtein , A. S. Matveev

The effect of a change of noise amplitudes in overdamped diffusive systems is linked to their unperturbed behavior by means of a nonequilibrium fluctuation-response relation. This formula holds also for systems with state-independent…

Statistical Mechanics · Physics 2017-06-13 Cem Yolcu , Antoine Bérut , Gianmaria Falasco , Artyom Petrosyan , Sergio Ciliberto , Marco Baiesi

We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the…

Statistical Mechanics · Physics 2020-10-21 Alvise Bastianello , Jacopo De Nardis , Andrea De Luca

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

Adaptation and Self-Organizing Systems · Physics 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

We introduce a class of exactly solvable models which exhibit an ordering noise-induced phase transition driven by an entropic mechanism. In contrast with previous studies, order does not appear in this case as a result of an instability of…

Condensed Matter · Physics 2007-05-23 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

The Gibbs distribution universally characterizes states of thermal equilibrium. In order to extend the Gibbs distribution to non-equilibrium steady states, one must relate the self-information $\mathcal{I}(x) = -\log(P_\text{ss}(x))$ of…

Statistical Mechanics · Physics 2023-04-04 Nahuel Freitas , Massimiliano Esposito

We initially prepare a quantum linear oscillator weakly coupled to a bath in equilibrium at an arbitrary temperature. We disturb this system by varying a Hamiltonian parameter of the coupled oscillator, namely, either its spring constant or…

Statistical Mechanics · Physics 2015-05-27 Ilki Kim

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in…

Quantum Gases · Physics 2011-07-22 Takuya Kitagawa , Adilet Imambekov , Jörg Schmiedmayer , Eugene Demler

The most complicated phenomena of equilibrium statistics, phase separations and transitions of various order and critical phenomena, can clearly and sharply be seen even for small systems in the topology of the curvature of the…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

We study a Thouless pump realized with an elastically \textit{deformable quantum dot} whose center of mass follows a non-linear stochastic dynamics. The interplay of noise, non-linear effects, dissipation and interaction with an external…

Mesoscale and Nanoscale Physics · Physics 2015-11-26 C. A. Perroni , F. Romeo , A. Nocera , V. Marigliano Ramaglia , R. Citro , V. Cataudella

We show that for a two-dimensional gas of elastically interacting particles the thermoelectric efficiency reaches the Carnot efficiency in the thermodynamic limit. Numerical simulations, by means of the multi-particle collision dynamics…

Statistical Mechanics · Physics 2014-01-14 Giuliano Benenti , Giulio Casati , Carlos Mejia-Monasterio

We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action…

Probability · Mathematics 2022-11-14 Angèle Bouley , Claudio Landim

Using the Gaussian R\'enyi-2 entropy, we analyse the behaviour of two different aspects of quantum correlations (entanglement and quantum discord) in two optomechanical subsystems (optical and mechanical). We work in the resolved sideband…

Quantum Physics · Physics 2018-06-28 Jamal El Qars , Mohammed Daoud , Rachid Ahl Laamara

In this article, we present an approach for the thermodynamics of phase oscillators induced by an internal multiplicative noise. We analytically derive the free energy, entropy, internal energy, and specific heat. In this framework, the…

Statistical Mechanics · Physics 2016-06-01 Pedro D. Pinto , Fernando A. Oliveira , Andre L. A. Penna

In any quantum or wave system dissipation leads to decoherence. Therefore, it was surprising in first instance when experiments on strongly lossy random lasers showed unambiguously by measurements of the photon statistics and of the lasing…

Disordered Systems and Neural Networks · Physics 2012-03-28 Regine Frank , Andreas Lubatsch , Johann Kroha

The dissipation--coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this tradeoff follows from the higher-order thermodynamic uncertainty relation together with a…

Statistical Mechanics · Physics 2026-03-31 Artemy Kolchinsky

The effects of second harmonics of the density and temperature perturbations on the linear Geodesic Acoustic Mode (GAM) frequency and non-linear generation of the GAM are investigated, using a fluid model. We show that the second harmonics…

Plasma Physics · Physics 2014-07-31 Johan Anderson , Hans Nordman , Raghvendra Singh

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

Statistical Mechanics · Physics 2016-03-15 A. G. Godizov , A. A. Godizov

Thermoacoustic instabilities in gas turbines and aeroengine combustors falls within the category of complex systems. They can be described phenomenologically using nonlinear stochastic differential equations, which constitute the grounds…

Fluid Dynamics · Physics 2016-12-09 Edouard Boujo , Alexey Denisov , Bruno Schuermans , Nicolas Noiray