𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dynamic exponents of a probabilistic three-state cellular automaton

✍ Scribed by Roberto da Silva; Nelson Alves Jr.


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
375 KB
Volume
350
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis


In this work, a three-state cellular automaton proposed to describe part of a biological immune system is revisited. We obtain the dynamic critical exponent z of the model by means of a recent technique that mixes different initial conditions. Moreover, by using two distinct approaches, we have also calculated the global persistence exponent y g ; related to the probability that the order parameter of the model does not change its sign up to time t [PΓ°tÞ / t Γ€yg ].


πŸ“œ SIMILAR VOLUMES


Critical exponents of the three-dimensio
✍ A. Γ–zkan; N. Seferoğlu; B. Kutlu πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 294 KB

The static critical exponents of the three-dimensional Blume-Capel model which has a tricritical point at D=J ΒΌ 2:82 value are estimated for the standard and the cooling algorithms which improved from Creutz cellular automaton. The analyses of the data using the finite-size scaling and power-law rel

Simulated Brain Tumor Growth Dynamics Us
✍ A.R. KANSAL; S. TORQUATO; G.R. HARSH IV; E.A. CHIOCCA; T.S. DEISBOECK πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 577 KB

We have developed a novel and versatile three-dimensional cellular automaton model of brain tumor growth. We show that macroscopic tumor behavior can be realistically modeled using microscopic parameters. Using only four parameters, this model simulates Gompertzian growth for a tumor growing over ne

Dynamical behavior of a two-dimensional
✍ Makoto S. Watanabe πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 353 KB

We study the e ect of signal cooperation in a 2D cellular-automaton model of tra c ow in cities. Two-state signals, which permit vertical or horizontal passage of vehicles, are introduced to all cells of the automaton system. We simulate the dynamics of vehicles for di erent samples of signal arrang