This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy.

Yang–Lee zeros for a nonequilibrium phase transition

, and

Published 17 May 2002 Published under licence by IOP Publishing Ltd
, , Citation Stephan M Dammer et al 2002 J. Phys. A: Math. Gen. 35 4527 DOI 10.1088/0305-4470/35/21/303

0305-4470/35/21/4527

Abstract

Equilibrium systems which exhibit a phase transition can be studied by investigating the complex zeros of the partition function. This method, pioneered by Yang and Lee, has been widely used in equilibrium statistical physics. We show that an analogous treatment is possible for a nonequilibrium phase transition into an absorbing state. By investigating the complex zeros of the survival probability of directed percolation processes we demonstrate that the zeros provide information about universal properties. Moreover we identify certain nontrivial points where the survival probability for bond percolation can be computed exactly.

Export citation and abstract BibTeX RIS

10.1088/0305-4470/35/21/303