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We derive an integral fluctuation theorem (FT) in a general setup of cavity quantum electrodynamics systems. In the derivation, a key difficulty lies in a diverging behavior of entropy change arising from the zero-temperature limit of an…

Statistical Mechanics · Physics 2020-02-19 Tatsuro Yuge , Makoto Yamaguchi

Let $J(t)$ be the the integrated flux of particles in the symmetric simple exclusion process starting with the product invariant measure $\nu_\rho$ with density $\rho$. We compute its rescaled asymptotic variance: \[ \lim_{t\to\infty}…

Probability · Mathematics 2011-11-10 A. De Masi , P. A. Ferrari

We study the probability distribution of a current flowing through a diffusive system connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a host of possible phase transitions both in and out of…

Statistical Mechanics · Physics 2017-01-25 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

Higher moments of distributions of net charge and baryon number in heavy-ion collisions have been proposed as signals of fundamental QCD phase transitions. In order to better understand background processes for these observables, models are…

Nuclear Theory · Physics 2021-01-04 Scott Pratt , Rachel Steinhorst

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

Statistical Mechanics · Physics 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

We revisit the statistical mechanics of charge fluctuations in capacitors. In constant-potential classical molecular simulations, the atomic charge of electrode atoms are treated as additional degrees of freedom which evolve in time so as…

One of the main features of statistical systems out of equilibrium is the currents they exhibit in their stationary state: microscopic currents of probability between configurations, which translate into macroscopic currents of mass,…

Statistical Mechanics · Physics 2016-01-05 Alexandre Lazarescu

A new method is proposed to numerically extract the diffusivity of a (typically nonlinear) diffusion equation from underlying stochastic particle systems. The proposed strategy requires the system to be in local equilibrium and have…

Statistical Mechanics · Physics 2018-05-09 Peter Embacher , Nicolas Dirr , Johannes Zimmer , Celia Reina

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

Soft Condensed Matter · Physics 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

We study the effect of a single driven tracer particle in a bath of other particles performing the random average process on an infinite line using a stochastic hydrodynamics approach. We consider arbitrary fixed as well as random initial…

Statistical Mechanics · Physics 2016-11-03 A. Kundu , J. Cividini

The fluctuations in the particle size distribution for processes of fragmentation and aggregation are studied for stationary state regimes. The system is described in terms of a stochastic process over an adequate tree structure. The RMS…

chao-dyn · Physics 2009-10-28 Piero Olla

We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of…

Statistical Mechanics · Physics 2009-11-07 Nicolas Hadjiconstantinou , Alejandro L. Garcia , Martin Z. Bazant , Gang He

We study fluctuations in diffusion-limited reaction systems driven out of their stationary state. Using a numerically exact method, we investigate fluctuation ratios in various systems which differ by their level of violation of microscopic…

Statistical Mechanics · Physics 2009-11-13 Sven Dorosz , Michel Pleimling

A wide variety of dissipative and fluctuation problems involving a quantum system in a heat bath can be described by the independent-oscillator (IO) model Hamiltonian. Using Heisenberg equations of motion, this leads to a generalized…

Quantum Physics · Physics 2009-11-11 R. F. O'Connell

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

The position of a colloidal particle trapped in an external field thermally fluctuates at equilibrium. As is well known, the ambient fluid is not a simple heat bath and the particle mass appears to increase, which influences the mean square…

Soft Condensed Matter · Physics 2017-04-20 Youhei Fujitani

In this paper we introduce a novel method to simulate lateral diffusion of inclusions in a fluctuating membrane. The regarded systems are governed by two dynamic processes: the height fluctuations of the membrane and the diffusion of the…

Soft Condensed Matter · Physics 2007-05-23 Ellen Reister-Gottfried , Stefan M. Leitenberger , Udo Seifert

We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jump rate satisfying an exclusion rule that allows up to a…

Probability · Mathematics 2026-04-15 Patrícia Gonçalves , Kohei Hayashi , Makiko Sasada

The branching processes in parton showers are studied in perturbative QCD for both quark and gluon jets. The emphasis is on the nature of fluctuations of both the parton multiplicities and the spatial patterns of the final states. Effective…

High Energy Physics - Phenomenology · Physics 2009-10-28 Zhen Cao , Rudolph C. Hwa

We investigate effects of quantum (zero-temperature) long wavelength fluctuations of free standing crystalline membranes, that are two-dimensional objects embedded into three-dimensional space. The fluctuations produce logarithmic…

Statistical Mechanics · Physics 2015-06-18 E. I. Kats , V. V. Lebedev
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