Non-equilibrium critical phenomena and phase transitions into absorbing states

H Hinrichsen - Advances in physics, 2000 - Taylor & Francis
This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

Applications of Monte Carlo methods to statistical physics

K Binder - Reports on Progress in Physics, 1997 - iopscience.iop.org
An introductory review of the Monte Carlo method for the statistical mechanics of condensed
matter systems is given. Basic principles (random number generation, simple sampling …

Critical behavior of the three-dimensional universality class

M Campostrini, M Hasenbusch, A Pelissetto, P Rossi… - Physical Review B, 2001 - APS
We improve the theoretical estimates of the critical exponents for the three-dimensional XY
universality class. We find α=− 0.0146 (8), γ= 1.3177 (5), ν= 0.671 55 (27), η= 0.0380 (4), β …

[图书][B] Series expansion methods for strongly interacting lattice models

J Oitmaa, C Hamer, W Zheng - 2006 - books.google.com
Perturbation series expansion methods are sophisticated numerical tools used to provide
quantitative calculations in many areas of theoretical physics. This book gives a …

Theoretical estimates of the critical exponents of the superfluid transition in by lattice methods

M Campostrini, M Hasenbusch, A Pelissetto… - Physical Review B …, 2006 - APS
We improve the theoretical estimates of the critical exponents for the three-dimensional XY
universality class that apply to the superfluid transition in He 4 along the λ line of its phase …

Critical exponents, hyperscaling, and universal amplitude ratios for two-and three-dimensional self-avoiding walks

B Li, N Madras, AD Sokal - Journal of Statistical Physics, 1995 - Springer
We make a high-precision Monte Carlo study of two-and three-dimensional self-avoiding
walks (SAWs) of length up to 80,000 steps, using the pivot algorithm and the Karp-Luby …

Accurate Estimate of the Critical Exponent for Self-Avoiding Walks via a Fast Implementation of the Pivot Algorithm

N Clisby - Physical review letters, 2010 - APS
We introduce a fast implementation of the pivot algorithm for self-avoiding walks, which we
use to obtain large samples of walks on the cubic lattice of up to 33× 10 6 steps …

Dimer order with striped correlations in the Heisenberg model

RRP Singh, Z Weihong, CJ Hamer, J Oitmaa - Physical Review B, 1999 - APS
Ground-state energies for plaquette and dimer order in the J 1− J 2 square-lattice spin-half
Heisenberg model are compared using series expansion methods. We find that these …

Quantum Phase Transitions in the Shastry-Sutherland Model for

A Koga, N Kawakami - Physical Review Letters, 2000 - APS
We investigate quantum phase transitions in the frustrated antiferromagnetic Heisenberg
model for Sr Cu 2 (BO 3) 2 by using the series expansion method. It is found that a novel …

Finite temperature properties of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice

N Elstner, RRP Singh, AP Young - Physical review letters, 1993 - APS
We have studied the spin-1/2 Heisenberg antiferromagnet on the triangular lattice by high
temperature series expansions. From an analysis of the antiferromagnetic structure factor …