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We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the…

无序系统与神经网络 · 物理学 2007-05-23 Alejandro Kolton , Alberto Rosso , Thierry Giamarchi

We prove the non-equilibrium fluctuations for the one-dimensional symmetric simple exclusion process with a slow bond. This generalizes a result of T. Franco, A. Neumann and P. Gon\c{c}alves (2013), which dealt with the equilibrium…

We present measurements of the scale (bin-size) dependence of event-wise mean transverse momentum $<p_{t}>$ fluctuations for Au-Au collisions at $\sqrt{s_{NN}} = 200$ GeV simulated with the Hijing-1.37 Monte Carlo. We invert those scale…

高能物理 - 唯象学 · 物理学 2009-12-15 Qingjun Liu , Duncan J. Prindle , Thomas A. Trainor

Fluctuations of isolated and pairs of ascending steps of monoatomic height are studied in the framework of SOS models, using mainly Monte Carlo techniques. Below the roughening transistion of the surface, the profiles of long steps show the…

统计力学 · 物理学 2009-11-07 W. Selke , F. Szalma , J. S. Hager

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

统计力学 · 物理学 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

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…

统计力学 · 物理学 2009-10-30 Satya N. Majumdar , Stephen J. Cornell

Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Langevin process whose friction coefficient depends on the state of a similar, unobserved process. Integrating out the latter, we derive the long…

统计力学 · 物理学 2009-08-13 Golan Bel , Ilya Nemenman

When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon…

计算物理 · 物理学 2014-08-08 David A. Sivak , John D. Chodera , Gavin E. Crooks

We study the dynamics of a system of hard-core particles sliding downwards on a one dimensional fluctuating interface, which in a special case can be mapped to the problem of a passive scalar advected by a Burgers fluid. Driven by the…

统计力学 · 物理学 2009-11-11 Sakuntala Chatterjee , Mustansir Barma

We consider nearest neighbour spatial random permutations on $\mathbb{Z}^d$. In this case, the energy of the system is proportional the sum of all cycle lengths, and the system can be interpreted as an ensemble of edge-weighted, mutually…

概率论 · 数学 2018-03-29 Volker Betz , Lorenzo Taggi

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

物理与社会 · 物理学 2008-12-02 M. Constantin , S. Das Sarma

The time dependence of the survival probability, S(t), is determined for diffusing particles in two dimensions which are also driven by a random unidirectional zero-mean velocity field, v_x(y). For a semi-infinite system with unbounded y…

统计力学 · 物理学 2009-10-30 Sidney Redner

Phase transitions not allowed in equilibrium steady states may happen however at the fluctuating level. We observe for the first time this striking and general phenomenon measuring current fluctuations in an isolated diffusive system. While…

统计力学 · 物理学 2011-10-31 Pablo I. Hurtado , Pedro L. Garrido

In this paper we study the fluctuations from the limiting behavior of small noise random perturbations of diffusions with multiple scales. The result is then applied to the exit problem for multiscale diffusions, deriving the limiting law…

概率论 · 数学 2015-02-20 Sergio A. Almada Monter , Konatantinos Spiliopoulos

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

Nonequilibrium surface autocorrelation and autoresponse functions are studied numerically in semi-infinite critical systems in the dynamical scaling regime. Dynamical critical behaviour is examined for a nonconserved order parameter in…

统计力学 · 物理学 2009-11-10 Michel Pleimling

We study the asymptotic behaviour of the probability that a stochastic process $(Z_t)_{t \geq 0}$ does not exceed a constant barrier up to time $T$ (the so called survival probability) when Z is the composition of two independent processes…

概率论 · 数学 2011-07-20 Christoph Baumgarten

We consider the dynamics of fluctuations in the quantum asymmetric simple exclusion process (Q-ASEP) with periodic boundary conditions. The Q-ASEP describes a chain of spinless fermions with random hoppings that are induced by a Markovian…

统计力学 · 物理学 2022-02-02 Denis Bernard , Fabian H. L. Essler , Ludwig Hruza , Marko Medenjak

Subensemble Acceptance Method (SAM) [1,2] is an essential link between measured event-by-event fluctuations and their grand canonical theoretical predictions such as lattice QCD. The method allows quantifying the global conservation law…

We study the convergence to equilibrium of an underdamped Langevin equation that is controlled by a linear feedback force. Specifically, we are interested in sampling the possibly multimodal invariant probability distribution of a Langevin…

最优化与控制 · 数学 2022-01-12 Tobias Breiten , Carsten Hartmann , Lara Neureither , Upanshu Sharma