Journal ArticleDOI
Finite-size effects at temperature-driven first-order transitions.
TLDR
In this paper, the authors studied the effects at a temperature-driven first-order transition by analyzing various moments of the energy distribution and the rounding of the singularities and the shifts in the location of the specific heat maximum.Abstract:
We study the finite-size effects at a temperature-driven first-order transition by analyzing various moments of the energy distribution. The distribution function for the energy is approximated by the superposition of two weighted Gaussian functions yielding quantitative estimates for various quantities and scaling form for the specific heat. The rounding of the singularities and the shifts in the location of the specific-heat maximum are analyzed and the characteristic features of a first-order transition are identified. The predictions are tested on the ten-state Potts model in two dimensions by carrying out extensive Monte Carlo calculations. The results are found to be in good agreement with theory. Comparison is made with the second-order transitions in the two- and three-state Potts models.read more
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Journal ArticleDOI
Efficient, multiple-range random walk algorithm to calculate the density of states.
Fugao Wang,David P. Landau +1 more
TL;DR: A new Monte Carlo algorithm is presented that permits us to directly access the free energy and entropy, is independent of temperature, and is efficient for the study of both 1st order and 2nd order phase transitions.
Journal ArticleDOI
Multicanonical algorithms for first order phase transitions
Bernd A. Berg,Thomas Neuhaus +1 more
TL;DR: In this article, a class of multicanonical Monte Carlo algorithms is presented which can reduce the slowing down to a quadratic power law ≈V2. But this algorithm is not suitable for the case of finite volumes.
Journal ArticleDOI
Theory of first-order phase transitions
TL;DR: In this paper, a review of various concepts about first-order phase transitions is given, with particular emphasis on metastable states near first order phase transitions, on the'stability limits' of such states (e.g., the spinodal curve of the gas-liquid transition) and on the dynamic mechanisms by which metastable state decay (nucleation and growth of droplets of a new phase).
Journal ArticleDOI
Applications of Monte Carlo methods to statistical physics
TL;DR: An introductory review of the Monte Carlo method for the statistical mechanics of condensed matter systems is given in this paper, where basic principles (random number generation, simple sampling versus importance sampling, Markov chains and master equations) are explained and some classical applications (self-avoiding walks, percolation, the Ising model) are sketched.
Journal ArticleDOI
The high temperature phase transition in SU(N) gauge theories
TL;DR: In this paper, the authors calculate the deconfining temperature in units of the string tension for SU(4, SU(6, and SU(8) gauge theories, and find that the N-dependence for 2 ≤ N ≤ 8 is well fitted by Tc/√σ = 0.596(4)+0.453(30)/N2, showing a rapid convergence to the large-N limit.