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Non-universal conductivity critical exponents in anisotropic percolating media: a new interpretation

Celzard, A.; Marêché, J.F. - In: Physica A: Statistical Mechanics and its Applications 317 (2003) 3, pp. 305-312

anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical …

Persistent link: https://www.econbiz.de/10011063540

On the thresholds, probability densities, and critical exponents of Bak–Sneppen-like models

Garcia, Guilherme J.M.; Dickman, Ronald - In: Physica A: Statistical Mechanics and its Applications 342 (2004) 1, pp. 164-170

We report a simple method to accurately determine the threshold and the exponent ν of the Bak–Sneppen (BS) model and also investigate the BS universality class. For the random-neighbor version of the BS model, we find the threshold x∗=0.33332(3), in agreement with the exact result x∗=13...

Persistent link: https://www.econbiz.de/10011057894

Phase behaviour of heteronuclear dimers adsorbed on square and triangular lattices—a Monte Carlo study

Rżysko, W; Borówko, M - In: Physica A: Statistical Mechanics and its Applications 326 (2003) 1, pp. 1-12

Monte Carlo simulation within the grand canonical ensemble, the histogram reweighting technique, and finite size scaling analysis are used to explore the phase behaviour of heteronuclear dimers, composed of A and B type segments, on square and triangular lattices. We have considered models with...

Persistent link: https://www.econbiz.de/10011058300

Universality in short-range Ising spin glasses

Jr, E. Nogueira; Coutinho, S; Nobre, F.D; Curado, E.M.F - In: Physica A: Statistical Mechanics and its Applications 271 (1999) 1, pp. 125-132

The role of the distribution of coupling constants in the critical exponents of the short-range Ising spin-glass model is investigated via real space renormalization group. A saddle-point spin glass critical point characterized by a fixed-point distribution is found in an appropriated parameter...

Persistent link: https://www.econbiz.de/10011062769

Short-time critical dynamics and universality on a two-dimensional triangular lattice

Ying, H.-P; Wang, L; Zhang, J.-B; Jiang, M; Hu, J - In: Physica A: Statistical Mechanics and its Applications 294 (2001) 1, pp. 111-122

The critical scaling and universality in the short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using a Monte Carlo simulation. Emphasis is placed on the dynamic evolutions from fully ordered initial states to show that universal scaling exists...

Persistent link: https://www.econbiz.de/10011064454

Universal scaling functions and quantities in percolation models

Hu, Chin-Kun; Chen, Jau-Ann; Lin, Chai-Yu - In: Physica A: Statistical Mechanics and its Applications 266 (1999) 1, pp. 27-34

We briefly review recent work on universal finite-size scaling functions (UFSSFs) and quantities in percolation models … percolation probability P, and the probability Wn of the appearance of n percolating clusters, (b) universal slope for average … number of percolating clusters, (c) UFSSFs for a q-state bond-correlated percolation model corresponding to the q-state Potts …

Persistent link: https://www.econbiz.de/10010664916

Dependency of percolation critical exponents on the exponent of power law size distribution

Sadeghnejad, S.; Masihi, M.; King, P.R. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 24, pp. 6189-6197

The standard percolation theory uses objects of the same size. Moreover, it has long been observed that the percolation … universality of the percolation theory is still valid. In this study, the effect of power law size distribution on the critical … exponents of the percolation theory of the two dimensional models is investigated. Two different object shapes i.e., stick …

Persistent link: https://www.econbiz.de/10010709449

Cluster analysis of the Ising model and universal finite-size scaling

Okabe, Yutaka; Kaneda, Kazuhisa; Tomita, Yusuke; … - In: Physica A: Statistical Mechanics and its Applications 281 (2000) 1, pp. 233-241

The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter g and the magnetization distribution function p(m) for the Ising model on L1×L2 two-dimensional lattices with tilted...

Persistent link: https://www.econbiz.de/10011058017

Cluster dynamics and universality of Ising lattice gases

Heringa, J.R.; Blöte, H.W.J. - In: Physica A: Statistical Mechanics and its Applications 251 (1998) 1, pp. 224-234

Lattice gases with nearest-neighbour exclusion are studied by means of Monte Carlo simulations with an efficient cluster algorithm. The critical dynamics is consistent with a dynamical exponent z=0 in the case of Wolff-like cluster updates for square and simple-cubic lattices in the studied...

Persistent link: https://www.econbiz.de/10011059965