منابع مشابه
The one-dimensional contact process: duality and renormalisation
We study the one-dimensional contact process in its quantum version using a recently proposed real space renormalisation technique for stochastic many-particle systems. Exploiting the duality and other properties of the model, we can apply the method for cells with up to 37 sites. After suitable extrapolation, we obtain exponent estimates which are comparable in accuracy with the best known in ...
متن کاملCritical behavior of the one-dimensional diffusive pair contact process.
The phase transition of the one-dimensional diffusive pair contact process is investigated by N cluster mean-field approximations and high precision simulations. The N=3,4 cluster approximations exhibit smooth transition line to absorbing state by varying the diffusion rate D with beta(2)=2 mean-field order parameter exponent of the pair density. This contradicts with former N=2 results, where ...
متن کاملContact process on one-dimensional long-range percolation
In this note, we prove that the contact process on the one-dimensional longrange percolation with high exponent exhibits a non-trivial phase transition: there is a critical value of the infection rate λc > 0, such that if λ > λc, the contact process survives with positive probability, whereas if λ < λc, it dies out a.s.
متن کاملDisordered contact process with asymmetric spreading.
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...
متن کاملResonances in one-dimensional Disordered Chain
We study the average density of resonances in a semi-infinite disordered chain coupled to a perfect lead. We concentrate on strong disorder and derive the asymptotic behavior of this density in the limit of narrow resonances.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.57.5060