Directed percolation in 3+1 dimensions

Joan Adler, J. Berger, J. A.M.S. Duarte, Y. Meir

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Directed percolation in four dimensions is of direct physical relevance to the world with three space and one time dimension. We present a comprehensive analysis of recently extended series for the moments of the cluster-size distribution and for the percolation probability in a field on the hypercubic lattice. We find a critical threshold, pc=0.30250.0010, and dominant critical exponents =1.210.05, for the mean cluster size; =0.820.03 and 1/=0.450.02 for the percolation probability in the thermal and field directions respectively; and a gap exponent of =2.030.06. We find a thermal-correction exponent 1=0.550.15 and a field correction of =0.30.1. We also calculate some universal critical-amplitude ratios.

Original languageEnglish
Pages (from-to)7529-7533
Number of pages5
JournalPhysical Review B
Issue number13
StatePublished - 1 Jan 1988
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics


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