Monte Carlo studies with the ST-100 array processorJournal of Statistical Physics - Tập 43 - Trang 1147-1170 - 1986
R. L. Sugar
Monte Carlo simulations with the 100 Mflop ST-100 array processor are described.
The architecture of the array processor and its applicability to large-scale
numerical simulations is discussed. Results are presented for the Abelian Higgs
model, a charge density wave transition in a quasi-one-dimensional system and
the finite temperature phase transition inSU(3) lattice gauge theory.
An upper bound on the critical temperature for a continuous system with short-range interactionJournal of Statistical Physics - Tập 58 - Trang 265-293 - 1990
Joseph G. Conlon
A classical gas with short-range interaction in the grand canonical ensemble is
studied. Ifp(β, z) denotes the thermodynamic pressure at inverse temperatureβ
and activityz, then it follows from the Mayer expansion thatp(β, z) is
infinitely differentiable providedβ andβz are sufficiently small. Here it is
shown that there existsβ 0>0 such thatp(β, z) is infinitely differentiable ifβ<β
0 andz>0. One... hiện toàn bộ
A systematic derivation of exact generalized Brownian motion theoryJournal of Statistical Physics - - 1975
Sture Nordholm, Robert Zwanzig
We present here a simple unified derivation of the exact Fokker-Planck equation
obtained earlier by Zwanzig and the exact Langevin and transport equations
derived by Mori. The derivation, based on the use of a Hilbert space formulation
of the dynamics, leads to substantial generalizations of these results in a
straightforward manner. We obtain nonlinear Langevin equations for classical
systems and... hiện toàn bộ
Leadership Exponent in the Pursuit Problem for 1-D Random ParticlesJournal of Statistical Physics - Tập 181 - Trang 952-967 - 2020
G. Molchan
For n + 1 particles moving independently on a straight line, we study the
question of how long the leading position of one of them can last. Our focus is
the asymptotics of the probability pT,n that the leader time will exceed T when
n and T are large. It is assumed that the dynamics of particles are described by
independent, either stationary or self-similar, Gaussian processes, not
necessarily i... hiện toàn bộ
Stochastic Ising models and anisotropic front propagationJournal of Statistical Physics - Tập 87 - Trang 63-89 - 1997
M. A. Katsoulakis, P. E. Souganidis
We study Ising models with general spin-flip dynamics obeying the detailed
balance law. After passing to suitable macroscopic limits, we obtain interfaces
moving with normal velocity depending anisotropically on their principal
curvatures and direction. In addition we deduce (direction-dependent)
Kubo-Green-type formulas for the mobility and the Hessian of the surface
tension, thus obtaining an ex... hiện toàn bộ
Kinetic Theory of Jet Dynamics in the Stochastic Barotropic and 2D Navier-Stokes EquationsJournal of Statistical Physics - Tập 153 - Trang 572-625 - 2013
Freddy Bouchet, Cesare Nardini, Tomás Tangarife
We discuss the dynamics of zonal (or unidirectional) jets for barotropic flows
forced by Gaussian stochastic fields with white in time correlation functions.
This problem contains the stochastic dynamics of 2D Navier-Stokes equation as a
special case. We consider the limit of weak forces and dissipation, when there
is a time scale separation between the inertial time scale (fast) and the
spin-up o... hiện toàn bộ
Growth Diversity in One Dimensional Fluctuating InterfacesJournal of Statistical Physics - Tập 103 - Trang 395-408 - 2001
M. D. Grynberg
A set of one dimensional interfaces involving attachment and detachment of
k-particle neighbors is studied numerically using both large scale simulations
and finite size scaling analysis. A labeling algorithm introduced by Barma and
Dhar in related spin Hamiltonians enables to characterize the asymptotic
behavior of the interface width according to the initial state of the substrate.
For equal dep... hiện toàn bộ
First passage time problems in time-dependent fieldsJournal of Statistical Physics - Tập 51 - Trang 215-232 - 1988
John E. Fletcher, Shlomo Havlin, George H. Weiss
This paper discusses the simplest first passage time problems for random walks
and diffusion processes on a line segment. When a diffusing particle moves in a
time-varying field, use of the adjoint equation does not lead to any
simplification in the calculation of moments of the first passage time as is the
case for diffusion in a time-invariant field. We show that for a discrete random
walk in th... hiện toàn bộ
Random Birth-and-Death NetworksJournal of Statistical Physics - Tập 162 - Trang 842-854 - 2016
Xiaojun Zhang, Zheng He, Lez Rayman-Bacchus
In this paper, a baseline model termed as random birth-and-death network (RBDN)
model is considered, in which at each time step, a new node is added into the
network with probability p ( $$0... hiện toàn bộ