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
Dynamic exponents of a probabilistic three-state cellular automaton
β 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.
β¦ 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°tΓ / t Γyg ].
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