Precise Critical Exponents for the Basic Contact Process

Details Precise Critical Exponents for the Basic Contact Process Precise Critical Exponents for the Basic Contact Process

1999-06-30

arxiv.org/abs/cond-mat/9906455v4

J. Phys. A: Math. Gen. 32, L467-L473 (1999)

Physics

Condensed Matter

Statistical Mechanics

LaTeX 2.09, 9 pages, 1 figure

Scientific paper

10.1088/0305-4470/32/44/102

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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