Criticality of the random-site Ising model: Metropolis, Swendsen-Wang and Wolff Monte Carlo algorithms

Criticality of the random-site Ising model: Metropolis, Swendsen-Wang and Wolff Monte Carlo algorithms

D. Ivaneyko, J. Ilnytskyi, B. Berche, Yu. Holovatch 1 Ivan Franko National University of Lviv, 79005 Lviv, Ukraine 2 Institute for Condensed Matter Physics, National Acad. Sci. of Ukraine, 79011 Lviv, Ukraine 3 Laboratoire de Physique des Matériaux, Université Henri Poincaré 1, 54506 Vandœuvre les Nancy Cedex, France 4 Institut für Theoretische Physik, Johannes Kepler Universität Linz, 4040 Lin...

Criticality of the random-site Ising model: Metropolis, Swendsen-Wang and Wolff Monte Carlo algorithms

D.Ivaneyko 1 , J.Ilnytskyi 2 , B.Berche 3 , Yu.Holovatch 2,4,1 1 Ivan Franko National University of Lviv, 79005 Lviv, Ukraine 2 Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine 3 Laboratoire de Physique des Matériaux, Université Henri Poincaré, Nancy 1, 54506 Vandœuvre les Nancy Cedex, France 4 Institut für Theoreti...

Monte Carlo Methods in Physics Ising model and Metropolis Algorithm

Eecient Exact Sampling from the Ising Model Using Swendsen-wang

In Monte Carlo Markov Chain theory, a particle on a Markov chain is run for a 'long time' until the particle is nearly in the stationary distribution. Coupling from the past is a methodology which allows samples to be taken exactly from the stationary distribution of the chain, but which requires that we have a completely coupling chain. One chain often used for the ferromagnetic Ising model is...

Analysis of random number generators using Monte Carlo simulation

Monte Carlo simulation is one of the main applications involving the use of random number generators. It is also one of the best methods of testing the randomness properties of such generators, by comparing results of simulations using different generators with each other, or with analytic results. Here we compare the performance of some popular random number generators by high precision Monte ...