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arxiv: cond-mat/9810309 · v1 · submitted 1998-10-23 · ❄️ cond-mat.stat-mech

Equation of state for directed percolation

classification ❄️ cond-mat.stat-mech
keywords orderdirectedepsilonequationpercolationresultsecondstate
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Using field-theoretic renormalization group methods we calculate the equation of state for non-equilibrium systems belonging to the universality class of directed percolation (Gribov process) to second order in epsilon = 4-d. By introducing a parametric representation the result can be written to this order in a very simple form. We use our result to obtain a universal amplitude ratio to second order in epsilon.

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