Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-01-12
Phys. Rev. E 63, 065103 (2001)
Physics
Condensed Matter
Statistical Mechanics
RevTex, 4pages, 4 eps figures
Scientific paper
10.1103/PhysRevE.63.065103
Recently there has been a debate concerning the universal properties of the phase transition in the pair contact process with diffusion (PCPD) $2A\to 3A, 2A\to \emptyset$. Although some of the critical exponents seem to coincide with those of the so-called parity-conserving universality class, it was suggested that the PCPD might represent an independent class of phase transitions. This point of view is motivated by the argument that the PCPD does not conserve parity of the particle number. In the present work we pose the question what happens if the parity conservation law is restored. To this end we consider the the reaction-diffusion process $2A\to 4A, 2A\to \emptyset$. Surprisingly this process displays the same type of critical behavior, leading to the conclusion that the most important characteristics of the PCPD is the use of binary reactions for spreading, regardless of whether parity is conserved or not.
Hinrichsen Haye
Kim In-mook
Park KwangHo
No associations
LandOfFree
Binary spreading process with parity conservation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Binary spreading process with parity conservation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Binary spreading process with parity conservation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-629354