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We consider the equilibrium surface of the Random Average Process started from an inclined plane, as seen from the height of the origin, obtained in [Ferrari & Fontes, 1998], where its fluctuations were shown to be of order of the square…

概率论 · 数学 2023-10-09 Luiz Renato Fontes , Mariela Pentón Machado , Leonel Zuaznábar

We study the behavior of a moving wall in contact with a particle gas and subjected to an external force. We compare the fluctuations of the system observed in the microcanonical and canonical ensembles, at varying the number of particles.…

统计力学 · 物理学 2014-04-03 L. Cerino , G. Gradenigo , A. Sarracino , D. Villamaina , A. Vulpiani

We consider the influence of active speed fluctuations on the dynamics of a $d$-dimensional active Brownian particle performing a persistent stochastic motion. We use the Laplace transform of the Fokker-Planck equation to obtain exact…

统计力学 · 物理学 2024-10-08 Amir Shee , Debasish Chaudhuri

A finite array of $N$ globally coupled Stratonovich models exhibits a continuous nonequilibrium phase transition. In the limit of strong coupling there is a clear separation of time scales of center of mass and relative coordinates. The…

统计力学 · 物理学 2015-05-13 Fabian Senf , Philipp M. Altrock , Ulrich Behn

We investigate the work fluctuations in an overdamped non-equilibrium process that is stopped at a stochastic time. The latter is characterized by a first passage event that marks the completion of the non-equilibrium process. In…

统计力学 · 物理学 2024-03-20 Iago N Mamede , Prashant Singh , Arnab Pal , Carlos E. Fiore , Karel Proesmans

In the quest for signatures of coherent transport we consider exciton trapping in the continuous-time quantum walk framework. The survival probability displays different decay domains, related to distinct regions of the spectrum of the…

The excitation functions for different fragments produced in the 27Al + 27Al dissipative collisions have been measured in steps of 250 keV in the energy range 122 - 132 MeV. Deep inelastic processes have been selected by integrating events…

By optimal fluctuation method, we study short-time distribution $P(\mathcal{A}=A)$ of the functionals, $\mathcal{A}=\int_{0}^{t_f} x^n(t) dt$, along constrained trajectories of random acceleration process for a given time duration $t_f$,…

统计力学 · 物理学 2025-06-18 Hanshuang Chen , Lulu Tian , Guofeng Li

Cell crawling is critical to biological development, homeostasis and disease. In many cases, cell trajectories are quasi-random-walk. In vitro assays on flat surfaces often described such quasi-random-walk cell trajectories as…

We study the evolution in equilibrium of the fluctuations for the conserved quantities of a chain of anharmonic oscillators in the hyperbolic space-time scaling. Boundary conditions are determined by applying a constant tension at one side,…

概率论 · 数学 2020-07-21 Stefano Olla , Lu Xu

We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and…

统计力学 · 物理学 2009-11-11 Florian Baumann , Michel Pleimling

We report the results of numerical investigations of the steady-state (SS) and finite-initial-conditions (FIC) spatial persistence and survival probabilities for (1+1)--dimensional interfaces with dynamics governed by the nonlinear…

统计力学 · 物理学 2016-08-31 M. Constantin , S. Das Sarma , C. Dasgupta

We analyze the effects of additive, spatially extended noise on spatiotemporal patterns in continuum neural fields. Our main focus is how fluctuations impact patterns when they are weakly coupled to an external stimulus or another…

神经元与认知 · 定量生物学 2015-01-08 Paul C. Bressloff , Zachary P. Kilpatrick

Common algorithms for computationally simulating Langevin dynamics must discretize the stochastic differential equations of motion. These resulting finite time step integrators necessarily have several practical issues in common:…

统计力学 · 物理学 2013-01-31 David A. Sivak , John D. Chodera , Gavin E. Crooks

Extending recent work on stress fluctuations in complex fluids and amorphous solids we describe in general terms the ensemble average $v(\Delta t)$ and the standard deviation $\delta v(\Delta t)$ of the variance $v[\mathbf{x}]$ of time…

统计力学 · 物理学 2020-11-18 G. George , L. Klochko , A. N. Semenov , J. Baschnagel , J. P. Wittmer

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

种群与进化 · 定量生物学 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

The weak correlation between spatiotemporal fluctuations in nonequilibrium complex systems is shown to govern the fluctuation distribution, maximizing the conditional entropy associated with such fluctuations. The result is illustrated in…

统计力学 · 物理学 2024-03-05 Yuichi Itto

Recently it has been questioned, notably in the context of the scalar singlet dark matter model with $m_\varphi^{ }\simeq 60$ GeV, how efficiently kinetic equilibrium is maintained if freeze-out dynamics is pushed down to low temperatures…

高能物理 - 唯象学 · 物理学 2023-05-08 Seyong Kim , M. Laine

A ``sandpile'' cellular automaton achieves complex temporal correlations, like a $1/f$ spectrum, if the position where it is perturbed diffuses slowly rather than changing completely at random, showing that the spatial correlations of the…

统计力学 · 物理学 2009-11-11 Marco Baiesi , Christian Maes

In a recent paper [M. Colangeli \textit{et al.}, J.\ Stat.\ Mech.\ P04021, (2011)] it was argued that the Fluctuation Relation for the phase space contraction rate $\Lambda$ could suitably be extended to non-reversible dissipative systems.…

动力系统 · 数学 2015-06-03 Matteo Colangeli , Lamberto Rondoni