Equation of state for directed percolation
H. K. Janssen, Ue. Kutbay, K. Oerding (U. Duesseldorf)
TL;DR
This paper derives the equation of state for directed percolation using renormalization group methods, providing a simple parametric form and calculating a universal amplitude ratio to second order in epsilon.
Contribution
It introduces a second-order epsilon expansion for the equation of state in directed percolation and presents a simplified parametric representation.
Findings
Equation of state expressed to second order in epsilon
Universal amplitude ratio calculated to second order in epsilon
Simplified parametric form of the result
Abstract
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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