Journal of Statistical Physics

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Monte Carlo studies with the ST-100 array processor
Journal 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 interaction
Journal 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 theory
Journal 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
Stochastic Ising models and anisotropic front propagation
Journal 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 Equations
Journal 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 Interfaces
Journal 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 fields
Journal 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 Networks
Journal 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
Alternative Variational Approach to Cactus Lattices
Journal of Statistical Physics - Tập 127 Số 6 - Trang 1237-1253 - 2007
Marco Pretti
Spin quantum number in the ground state of the Mattis-Heisenberg model
Journal of Statistical Physics - Tập 26 - Trang 839-845 - 1981
Hidetoshi Nishimori
Total spin quantum number is rigorously calculated for a quantum version of the Mattis model of random spin systems. Crossover between three universality classes of the Ising model, theXY model, and the Heisenberg model is explicitly worked out in the presence of randomness. The randomness of the type of the Mattis model is shown to have no thermodynamic effects even in quantum systems.
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