# Equation of state for directed percolation

Source: [Equation of state for directed percolation](<https://www.sota2.com/research/paper/68fa249a2c2a3760193a6689>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T02:58:37.529Z

Authors: H. K. Janssen, Ue. Kutbay, K. Oerding

Published: 1998-10-23T06:51:02.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9810309>)

[PDF](<https://arxiv.org/pdf/cond-mat/9810309.pdf>)