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In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

Statistical Mechanics · Physics 2024-12-19 Thierry Bodineau , Bernard Derrida

Topological insulating phases are usually found in periodic lattices stemming from collective resonant effects, and it may thus be expected that similar features may be prohibited in thermal diffusion, given its purely dissipative and…

Applied Physics · Physics 2021-07-16 Guoqiang Xu , Yihao Yang , Xue Zhou , Hongsheng Chen , Andrea Alu , Cheng-Wei Qiu

Diffusion processes are widespread in biological and chemical systems, where they play a fundamental role in the exchange of substances at the cellular level and in determining the rate of chemical reactions. Recently, the classical picture…

Soft Condensed Matter · Physics 2015-09-16 Roberto Cerbino , Yifei Sun , Aleksandar Donev , Alberto Vailati

Understanding heat transfer across solid-liquid interfaces is central to thermal management and energy technologies, yet whether the interfacial thermal conductance (ITC) depends on the timescale of heating remains unclear. Here we use…

Materials Science · Physics 2026-03-25 Tao Chen , Puqing Jiang

We establish a unified fluctuation-response relation for Langevin dynamics. By exploiting the common mathematical structures underlying fluctuations and responses of empirical density and current, we derive a unified identity that…

Statistical Mechanics · Physics 2026-01-26 Hyun-Myung Chun , Euijoon Kwon , Hyunggyu Park , Jae Sung Lee

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function…

Statistical Mechanics · Physics 2009-10-31 Pierre-Henri Chavanis , Clément Sire

We investigate the spatio-temporal quantity of coherence for turbulent velocity fluctuations at spatial distances of the order or larger than the integral length scale $l_{0}$. Using controlled laboratory experiments, an exponential decay…

Fluid Dynamics · Physics 2022-01-19 G. Prabhudesai , S. Perrard , F. Pétrélis , S. Fauve

The fluctuation-dissipation theory is grounded on the Langevin condition expressing the local independence between the thermal force and the particle velocity history. Upon hydrodynamic grounds, it is reasonable to relax this condition in…

Statistical Mechanics · Physics 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

We formulate a general theory of thermal fluctuations within causal second-order viscous hydrodynamic evolution of matter formed in relativistic heavy-ion collisions. The fluctuation is treated perturbatively on top of a boost-invariant…

Nuclear Theory · Physics 2018-05-16 Chandrodoy Chattopadhyay , Rajeev S. Bhalerao , Subrata Pal

We characterize statistical properties of the flow field in developed turbulence using concepts from stochastic thermodynamics. On the basis of data from a free air-jet experiment, we demonstrate how the dynamic fluctuations induced by…

Statistical Mechanics · Physics 2013-05-23 D. Nickelsen , A. Engel

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

We present a numerical method to deal efficiently with large numbers of particles in incompressible fluids. The interactions between particles and fluid are taken into account by a physically motivated ansatz based on locally defined drag…

Condensed Matter · Physics 2016-08-31 W. Kalthoff , S. Schwarzer , G. H. Ristow , H. J. Herrmann

The study of heat transport in low-dimensional oscillator lattices presents a formidable challenge. Theoretical efforts have been made trying to reveal the underlying mechanism of diversified heat transport behaviors. In lack of a unified…

Statistical Mechanics · Physics 2016-05-05 Lei Wang , Nianbei Li , Peter Hanggi

We develop a theory of heat transfer induced by thermal charge fluctuations in two-dimensional electron double layers. We consider pristine systems comprised of identical layers, and focus on the regime of sufficiently high temperatures and…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Dmitry Zverevich , A. V. Andreev , Alex Levchenko

We present a systematic numerical study of the effect of turbulent velocity fluctuations on the thermal pressure distribution in thermally bistable flows. The simulations employ a random turbulent driving generated in Fourier space rather…

Astrophysics · Physics 2009-11-11 Adriana Gazol , Enrique Vazquez-Semadeni , Jongsoo Kim

It is shown that thermal fluctuations present in a simple non-degenerate relativistic fluid satisfy a wave equation in the Euler regime. The characteristic propagation speeds are calculated and the classical expression for the speed of…

General Relativity and Quantum Cosmology · Physics 2009-05-19 A. Sandoval-Villalbazo , D. Brun

Via hydrodynamics preserving molecular dynamics simulations we study growth phenomena in a phase separating symmetric binary mixture model. We quench high-temperature homogeneous configurations to state points inside the miscibility gap,…

Soft Condensed Matter · Physics 2021-07-23 Koyel Das , Subir K. Das

The conventional assumption that the self-diffusion coefficient of a small tracer can be obtained by a local and instantaneous application of Einstein's relation in a temperature field with spatial and temporal heterogeneity is revisited.…

Soft Condensed Matter · Physics 2009-11-07 Ramin Golestanian , Armand Ajdari

We derive a fluctuation dissipation relation connecting the drag and diffusion jet transport coefficients for an energetic light quark traversing a non-perturbative thermalized gluon plasma. The hard quark is taken to be close to on-shell,…

High Energy Physics - Phenomenology · Physics 2026-03-16 Amit Kumar , Abhijit Majumder , Ismail Soudi , Johannes Heinrich Weber