Scaling behavior of the disordered contact process
نویسندگان
چکیده
منابع مشابه
S ep 2 00 8 Scaling behavior of the disordered contact process
The one-dimensional contact process with weak to intermediate quenched disorder in its transmission rates is investigated via quasi-stationary Monte Carlo simulation. We address the contested questions of both the nature of dynamical scaling, conventional or activated, as well as of universality of critical exponents by employing a scaling analysis of the distribution of lifetimes and the quasi...
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Scaling properties of an interface representation of the critical contact process are studied in dimensions 1 3. Simulations confirm the scaling relation βW = 1−θ between the interface-width growth exponent βW and the exponent θ governing the decay of the order parameter. A scaling property of the height distribution, which serves as the basis for this relation, is also verified. The height-hei...
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A correspondence between lattice models with absorbing states and models of pinned interfaces in random media can be established by defining local height variables h(x,t) as integrals of the activity at point x up to time t. Within this context we study the interface representation of a prototypical model with absorbing states, the contact process, in dimensions 1-3. Simulations confirm the sca...
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An asymmetric variant of the contact process where the activity spreads with different and independent random rates to the left and to the right is introduced. A real space renormalization scheme is formulated for the model by means of which it is shown that the local asymmetry of spreading is irrelevant on large scales if the model is globally (statistically) symmetric. Otherwise, in the prese...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.79.042105