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Precise Critical Exponents for the Basic Contact Process

J. Ricardo G. de Mendonça
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Abstract

We calculated some of the critical exponents of the directed percolation universality class through exact numerical diagonalisations of the master operator of the one-dimensional basic contact process. Perusal of the power method together with finite-size scaling allowed us to achieve a high degree of accuracy in our estimates with relatively little computational effort. A simple reasoning leading to the appropriate choice of the microscopic time scale for time-dependent simulations of Markov chains within the so called quantum chain formulation is discussed. Our approach is applicable to any stochastic process with a finite number of absorbing states.

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J. Ricardo G. de Mendonça. 2011-05-22. Precise Critical Exponents for the Basic Contact Process. https://doi.org/10.1088/0305-4470%2F32%2F44%2F102

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