The potts model

FY Wu - Reviews of modern physics, 1982 - APS
This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the
essential and important properties of the standard Potts model. Emphasis is placed on exact …

Critical exponents from field theory

JC Le Guillou, J Zinn-Justin - Physical Review B, 1980 - APS
We present a detailed study of the methods of summation based on Borel transformation
and conformal mapping, which we have used to calculate critical exponents of the n-vector …

The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk

N Madras, AD Sokal - Journal of Statistical Physics, 1988 - Springer
The pivot algorithm is a dynamic Monte Carlo algorithm, first invented by Lal, which
generates self-avoiding walks (SAWs) in a canonical (fixed-N) ensemble with free endpoints …

Thermodynamics of two flavor QCD to sixth order in quark chemical potential

CR Allton, M Döring, S Ejiri, SJ Hands… - Physical Review D …, 2005 - APS
We present results of a simulation of two flavor QCD on a 16 3× 4 lattice using p4-improved
staggered fermions with bare quark mass m/T= 0.4. Derivatives of the thermodynamic grand …

Convection in a porous cavity

KL Walker, GM Homsy - Journal of Fluid Mechanics, 1978 - cambridge.org
Convection in a porous cavity driven by heating in the horizontal is analysed by a number of
different techniques which yield a fairly complete description of the two-dimensional …

QCD at finite chemical potential with six time slices

RV Gavai, S Gupta - Physical Review D—Particles, Fields, Gravitation, and …, 2008 - APS
We investigate the Taylor expansion of the baryon number susceptibility, and hence,
pressure, in a series in the baryon chemical potential (μ B) through a lattice simulation with …

On the critical end point of QCD

RV Gavai, S Gupta - Physical Review D—Particles, Fields, Gravitation, and …, 2005 - APS
We investigate the critical end point of QCD with two flavours of light dynamical quarks at
finite lattice cutoff a= 1/4 T using a Taylor expansion of the baryon number susceptibility. We …

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 …

Hard-square lattice gas

RJ Baxter, IG Enting, SK Tsang - Journal of Statistical Physics, 1980 - Springer
We have studied the hard-square lattice gas, using corner transfer matrices. In particular, we
have obtained the first 24 terms of the high-density series for the order parameter ρ 2− ρ 1 …

Conjectures on the exact solution of three-dimensional (3D) simple orthorhombic Ising lattices

ZD Zhang - Philosophical Magazine, 2007 - Taylor & Francis
We report conjectures on the three-dimensional (3D) Ising model of simple orthorhombic
lattices, together with details of calculations for a putative exact solution. Two conjectures, an …