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We numerically examine the effect of thermal fluctuations on a first-order phase transition in 2+1 dimensions. By focusing on the expansion of a single bubble we are able to calculate changes in the bubble wall's velocity as well as changes…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mark Abney

We study the work fluctuations of a particle subjected to a deterministic drag force plus a random forcing whose statistics is of the L\'evy type. In the stationary regime, the probability density of the work is found to have ``fat''…

Statistical Mechanics · Physics 2007-09-02 H. Touchette , E. G. D. Cohen

The precision of reaction-diffusion models for mesoscopic physical systems is limited by fluctuations. To account for this uncertainty, Van Kampen derived a stochastic Langevin-like reaction-diffusion equation that incorporates…

Statistical Mechanics · Physics 2018-11-28 Roman Belousov , Adrian Jacobo , A. J. Hudspeth

Cells use genetic switches to shift between alternate gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Here, we study the dynamics of switching in a generic-feedback on/off switch. Unlike…

Molecular Networks · Quantitative Biology 2015-05-27 Michael Assaf , Elijah Roberts , Zaida Luthey-Schulten

We study the the survival probability P(t) upto time t, of a test particle moving in a fluctuating external field. The particle moves according to some prescribed deterministic or stochastic rules and survives as long as the external field…

Statistical Mechanics · Physics 2009-10-30 Satya N. Majumdar , Stephen J. Cornell

We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purely non-equilibrium stochastic forces correlated with the…

Statistical Mechanics · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

Stochastic versions of a classical model for natural ventilation are proposed and investigated to demonstrate the effect of random fluctuations on stability and predictability. In a stochastic context, the well-known deterministic result…

Fluid Dynamics · Physics 2023-08-17 Veronica Andrian , John Craske

The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Anantha Ramakrishna , N. Kumar

We investigate the inside structure of one-dimensional reaction-diffusion traveling fronts. The reaction terms are of the monostable, bistable or ignition types. Assuming that the fronts are made of several components with identical…

Analysis of PDEs · Mathematics 2013-04-22 Jimmy Garnier , Thomas Giletti , Francois Hamel , Lionel Roques

We consider a linear Boltzmann equation that arises in a model for quantum friction. It describes a particle that is slowed down by the emission of bosons. We study the stochastic process generated by this Boltzmann equation and we show…

Mathematical Physics · Physics 2024-04-25 Roland Bauerschmidt , Wojciech de Roeck , Jürg Fröhlich

Refraction of obliquely incident plane waves due to the interface of a vacuous half-space and a half-space occupied by a simply moving, nondissipative, isotropic dielectric-magnetic medium is considered, when the medium's velocity lies…

Optics · Physics 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia

The dynamics of a two-species community of $N$ competing individuals is considered, with an emphasis on the role of environmental variations that affect coherently the fitness of entire populations. The chance of fixation of a mutant…

Populations and Evolution · Quantitative Biology 2018-02-01 Immanuel Meyer , Nadav M. Shnerb

We explore the motion of a classical particle in a symmetric potential with non-Gaussian skewed white noise. We show analytically and numerically that the presence of nonzero odd moments leads to a macroscopic current. For a noise with a…

Condensed Matter · Physics 2007-05-23 Rangan Lahiri

Mott variable range hopping is a fundamental mechanism for low-temperature electron conduction in disordered solids in the regime of Anderson localization. In a mean field approximation, it reduces to a random walk (shortly, Mott random…

Probability · Mathematics 2016-05-13 Alessandra Faggionato , Nina Gantert , Michele Salvi

The friction force acting on a small neutral particle during relativistic motion relative to the blackbody radiation is calculated in the framework of fluctuation electrodynamics. It is shown that the particle acceleration is determined by…

Statistical Mechanics · Physics 2015-03-23 A. I. Volokitin

A time-dependent bias voltage on a tunnel junction generates a time-dependent modulation of its current fluctuations, and in particular of its variance. This translates into an excitation at frequency $\tilde{f}$ generating correlations…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Clovis Farley , Edouard Pinsolle , Bertrand Reulet

Arguments are gived for the plausibility that quantum mechanics is a stochastic theory and that many quantum phenomena derive from the existence of a real noise consisting of vacuum fluctuations of all fundamental fields existing in nature.…

Quantum Physics · Physics 2016-09-26 Emilio Santos

The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

Statistical Mechanics · Physics 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a…

Soft Condensed Matter · Physics 2021-04-12 David Martin , Hugues Chaté , Cesare Nardini , Alexandre Solon , Julien Tailleur , Frédéric van Wijland

We analyze the behavior of an ensemble of inertial particles in a one-dimensional smooth Gaussian velocity field, in the limit of large inertia, but considering a finite correlation time for the random field. We derive in this limit a…

Statistical Mechanics · Physics 2009-11-13 Piero Olla , Raffaella Vuolo
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