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Discrete growth models on deterministic fractal substrate

Tang, Gang; Xun, Zhipeng; Wen, Rongji; Han, Kui; Xia, Hui; … - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 21, pp. 4552-4557

simulations. The evolving interface of the aggregates is described by the well-established Family–Vicsek dynamic scaling approach … Kim [S.B. Lee, J.M. Kim, Phys. Rev. E 80 (2009) 021101]. The Etching model also shows good scaling behavior. We conjecture …

Persistent link: https://www.econbiz.de/10011062568

DC conductive percolation of 2-D fractal random network

Young, Tai-Fa; Fang, Huey-Jen - In: Physica A: Statistical Mechanics and its Applications 281 (2000) 1, pp. 276-281

's law. The DC percolation current below and above threshold pc exhibits a scaling behavior in four ranges. Due to the …

Persistent link: https://www.econbiz.de/10010589874

Diffusion in deterministic fractals: a model for polymer electrolytes

Maitra, Minakshi; Mal, Dibyendu; Dasgupta, Ruma; … - In: Physica A: Statistical Mechanics and its Applications 346 (2005) 1, pp. 191-199

We present simulation results for random walks on a family of Sierpinski Carpets, under a periodically varying bias. The diffusivity obtained from these results shows a power-law variation of the bias, with frequency. The exponent depends on details of the carpet generator. We discuss...

Persistent link: https://www.econbiz.de/10010591848

Critical behavior of a one-dimensional contact process with time-uncorrelated disorder

Fulco, U.L.; Barbosa, P.H.R.; Lyra, M.L. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 18, pp. 3785-3790

investigated. We develop simulations on finite chains and explore the finite size scaling hypothesis to obtain estimates for the … derived from the usual short-time dynamics scaling. We found that, contrary to the behavior of the contact-process with … quenched disorder which displays an infinite randomness critical point with activated scaling, the contact process with time …

Persistent link: https://www.econbiz.de/10010874692

Cluster size distribution of infection in a system of mobile agents

González, M.C.; Herrmann, H.J.; Araújo, A.D. - In: Physica A: Statistical Mechanics and its Applications 356 (2005) 1, pp. 100-106

Clusters of infected individuals are defined on data from health laboratories, but this quantity has not been defined and characterized by epidemy models on statistical physics. For a system of mobile agents we simulate a model of infection without immunization and show that all the moments of...

Persistent link: https://www.econbiz.de/10011059927

Tricriticality in generalized Schloegl models for autocatalysis: Lattice-gas realization with particle diffusion

Guo, Xiaofang; Unruh, Daniel K.; Liu, Da-Jiang; Evans, … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 3, pp. 633-646

We analyze lattice–gas reaction–diffusion models which include spontaneous annihilation, autocatalytic creation, and diffusion of particles, and which incorporate the particle creation mechanisms of both Schloegl’s first and second models. For fixed particle diffusion or hop rate,...

Persistent link: https://www.econbiz.de/10011061591

Scaling of the propagation of epidemics in a system of mobile agents

González, M.C; Herrmann, H.J - In: Physica A: Statistical Mechanics and its Applications 340 (2004) 4, pp. 741-748

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as function of density, temperature and infection time. In...

Persistent link: https://www.econbiz.de/10011063163

The phase transition of the diffusive pair contact process revisited

Hinrichsen, Haye - In: Physica A: Statistical Mechanics and its Applications 361 (2006) 2, pp. 457-462

The restricted diffusive pair contact process 2A→3A, 2A→∅ (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently, Kockelkoren and Chaté [Absorbing phase transition of branching-annihilating...

Persistent link: https://www.econbiz.de/10011063191

Hybrid closure-approximation to epidemic models

Filipe, J.A.N. - In: Physica A: Statistical Mechanics and its Applications 266 (1999) 1, pp. 238-241

We consider an epidemic model that extends the two-dimensional contact process by including more general processes of disease transmission and control. A hybrid approximation method that elaborates on the common pair approximation is proposed and shown to give very accurate predictions for the...

Persistent link: https://www.econbiz.de/10011064619

Quasi-stationary simulation of the contact process

Dickman, Ronald; Martins de Oliveira, Marcelo - In: Physica A: Statistical Mechanics and its Applications 357 (2005) 1, pp. 134-141

We review a recently devised Monte Carlo simulation method for the direct study of quasi-stationary properties of stochastic processes with an absorbing state. The method is used to determine the static correlation function and the interparticle gap-length distribution in the critical...

Persistent link: https://www.econbiz.de/10010590413