Universality class of absorbing transitions with continuously varying critical exponents

Jae Dong Noh, Hyunggyu Park

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The well-established universality classes of absorbing critical phenomena are directed percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with diffusion (PCPD) has been investigated extensively and claimed to exhibit a different type of critical phenomenon distinct from both DP and DI classes. Noticing that the PCPD possesses a long-term memory effect, we introduce a generalized version of the PCPD (GPCPD) with a parameter controlling the memory strength. The GPCPD connects the DP fixed point to the PCPD point continuously. Monte Carlo simulations strongly suggest that the GPCPD displays, to our knowledge, novel critical phenomena which are characterized by continuously varying critical exponents. The same critical behaviors are also observed in models where two species of particles are coupled cyclically. We present one possible scenario that the long-term memory may serve as a marginal perturbation to the ordinary DP fixed point.

Original languageEnglish
Pages (from-to)12
Number of pages1
JournalPhysical Review E
Issue number1
StatePublished - 2004


Dive into the research topics of 'Universality class of absorbing transitions with continuously varying critical exponents'. Together they form a unique fingerprint.

Cite this