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The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

A time-space fractional reaction-diffusion equation in a bounded domain is considered. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time. However, for realistic initial conditions,…

偏微分方程分析 · 数学 2020-04-09 Ahmed Alsaedi , Mokhtar Kirane , Berikbol T. Torebek

A semiclassical linear response theory based on the Vlasov equation is reviewed. The approach discussed here differs from the classical one of Vlasov and Landau for the fact that the finite size of the system is explicitly taken into…

核理论 · 物理学 2007-05-23 V. I. Abrosimov , A. Dellafiore , F. Matera

The semiclassical Euclidean path integral method is applied to compute the low temperature quantum decay rate for a particle placed in the metastable minimum of a cubic potential in a {\it finite} time theory. The classical path, which…

量子物理 · 物理学 2008-03-20 Marco Zoli

The second law of thermodynamics posits that in closed macroscopic systems the rate of entropy production must be positive. However, small systems can exhibit negative entropy production over short timescales, seemingly in contradiction…

量子气体 · 物理学 2023-08-08 Rama Sharma , Tapio P. Simula , Andrew J. Groszek

The flux-across-surfaces theorem establishes a fundamental relation in quantum scattering theory between the asymptotic outgoing state and a quantity which is directly measured in experiments. We prove it for a hamiltonian with a point…

数学物理 · 物理学 2012-11-27 G. Panati , A. Teta

We describe a fluctuating surface-current formulation of radiative heat transfer, applicable to arbitrary geometries, that directly exploits standard, efficient, and sophisticated techniques from the boundary-element method. We validate as…

材料科学 · 物理学 2012-12-27 Alejandro W. Rodriguez , M. T. Homer Reid , Steven G. Johnson

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

统计力学 · 物理学 2015-05-13 D. Andrieux , P. Gaspard

Based on the fluctuation-electromagnetic theory, we have calculated tangential (frictional) and normal forces, radiation heat flux and frictional torque on a small rotating particle moving at a nonrelativistic velocity close to a smooth…

量子物理 · 物理学 2013-02-28 A. A. Kyasov , G. V. Dedkov

The effect of diffusively correlated spatial fluctuations on the proliferation-extinction transition of autocatalytic agents is investigated numerically. Reactants adaptation to spatio-temporal active regions is shown to lead to…

统计力学 · 物理学 2009-11-11 Sasi Moalem , Nadav M. Shnerb

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

偏微分方程分析 · 数学 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

The process of Compton scattering by a free electron with subsequent reemission of one or two photons is considered in the assumption of finite interaction time. The corresponding cross sections are obtained in the framework of relativistic…

原子物理 · 物理学 2023-07-26 V. Dubrovich , T. Zalialiutdinov

The fluctuation-dissipation relation tells that dissipation always accompanies with thermal fluctuations. Relativistic fluctuating hydrodynamics is used to study the effects of the thermal fluctuations in the hydrodynamic expansion of the…

核理论 · 物理学 2019-02-20 Tetsufumi Hirano , Ryuichi Kurita , Koichi Murase

Using the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional…

计算物理 · 物理学 2007-05-23 Jacek S. Leszczynski

The probability distribution of the entropy production for the effusion of an ideal gas between two compartments is calculated explicitly. The fluctuation theorem is verified. The analytic results are in good agreement with numerical data…

统计力学 · 物理学 2007-05-23 B. Cleuren , C. Van den Broeck , R. Kawai

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…

数学物理 · 物理学 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

We consider the trapping reaction, $A+B\to B$, where $A$ and $B$ particles have a diffusive dynamics characterized by diffusion constants $D_A$ and $D_B$. The interaction with $B$ particles can be formally incorporated in an effective…

统计力学 · 物理学 2009-11-10 L. Anton , R. A. Blythe , A. J. Bray

The effect of surface fluctuation on the observables of quark-hadron phase transition is studied. The Ginzburg-Landau formalism is extended by the inclusion of an extra term in the free energy that depends on the vertical displacements from…

核理论 · 物理学 2008-11-26 Zhen Cao , Rudolph C. Hwa

All previously derived thermodynamic fluctuation theorems (FTs) that concern multiple co-evolving systems have required that each system can only change its state during an associated pre-fixed, limited set of time intervals. However, in…

统计力学 · 物理学 2021-04-16 David H. Wolpert

The paper presents a unified approach to different fluctuation relations for classical nonequilibrium dynamics described by diffusion processes. Such relations compare the statistics of fluctuations of the entropy production or work in the…

数学物理 · 物理学 2009-11-13 Raphael Chetrite , Krzysztof Gawedzki