Directed site lattice animals with restricted valence

Y. Liu, Z. Q. Zhang, Z. R. Yang

Research output: Contribution to journalArticlepeer-review


The critical behaviour of directed site lattice animals having valence no larger than v is studied in the square lattice for the cases of v=2 and 3 by using exact enumerations. The authors also study the cases where the microscopic restrictions are anisotropic so that the universality hypothesis can be tested for the systems possessing a non-trivial preferred axis. As expected, for both the isotropic and anisotropic restrictions, series analysis together with some exact results show that when v=3 the systems have the same critical behaviour as the unrestricted case while for v=2 the systems belong to the same universality class as directed self-avoiding walks.

Original languageEnglish (US)
Article number018
Pages (from-to)2667-2674
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number13
StatePublished - 1984

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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