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
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
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.
On the Emergence and Orbital Stability of Phase-Locked States for the Lohe Model
Journal of Statistical Physics - Tập 163 - Trang 411-439 - 2016
Seung-Yeal Ha, Seung-Yeon Ryoo
We study the emergence and orbital stability of phase-locked states of the Lohe model, which was proposed as a non-abelian generalization of the Kuramoto phase model for synchronization. Lohe introduced a first-order system of matrix-valued ordinary differential equations for quantum synchronization and numerically observed the asymptotic formation and orbital stability of phase-locked states of t...... hiện toàn bộ
Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes
Journal of Statistical Physics - Tập 83 - Trang 359-383 - 1996
T. C. Elston, Charles R. Doering
We present a numerical simulation algorithm that is well suited for the study of noise-induced transport processes. The algorithm has two advantages over standard techniques: (1) it preserves the property of detailed balance for systems in equilibrium and (2) it provides an efficient method for calculating nonequilibrium currents. Numerical results are compared with exact solutions from two differ...... hiện toàn bộ
Universal Order Statistics for Random Walks & Lévy Flights
Journal of Statistical Physics - Tập 190 Số 1 - Trang 1-49 - 2023
De Bruyne, Benjamin, Majumdar, Satya N., Schehr, Grégory
We consider one-dimensional discrete-time random walks (RWs) of n steps, starting from $$x_0=0$$ , with arbitrary symmetric and continuous jump distributions $$f(\eta )$$ , including the important case of Lévy flights. We study the statistics of the gaps $$\varDelta _{k,n}$$ between the $$k\text {th}$$ and $$(k+1)\text {th}$$ maximum of the set of positions $$\{x_1,\ldots ,x_n\}$$ . We obtain an e...... hiện toàn bộ
Crossover Equation of State Models Applied to the Critical Behavior of Xenon
Journal of Statistical Physics - Tập 158 - Trang 1379-1412 - 2014
Y. Garrabos, C. Lecoutre, S. Marre, R. Guillaument, D. Beysens, I. Hahn
The turbidity ( $$\tau $$ ) measurements of Güttinger and Cannell (Phys Rev A 24:3188–3201, 1981) in the temperature range $$28\,\text {mK}\le T-T_{c}\le 29\,\text {K}$$ ...... hiện toàn bộ
Emergence of the Sierpinski Gasket in Coin-Dividing Problems
Journal of Statistical Physics - Tập 152 - Trang 534-540 - 2013
Ken Yamamoto
The present paper proposes a generation mechanism of a fractal pattern related to a coin system. The problem is formulated in terms of a situation of dividing coins among people. Remarkably, a fractal pattern like the Sierpinski gasket is obtained, by marking all the possible division of coins as a point set. The mechanism for this fractal structure is reduced to nested relations, owing to a hiera...... hiện toàn bộ
Large-n limit of the Heisenberg model: The decorated lattice and the disordered chain
Journal of Statistical Physics - Tập 57 - Trang 41-52 - 1989
B. A. Khoruzhenko, L. A. Pastur, M. V. Shcherbina
The critical temperature of the generalized spherical model (large-component limit of the classical Heisenberg model) on a cubic lattice, whose every bond is decorated byL spins, is found. WhenL→∞, the asymptotics of the temperature isT c ∼aL −1. The reduction of the number of spherical constraints for the model is found to be fairly large. The free energy of the...... hiện toàn bộ
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