Articles in peer-reviewed journals
|Generalized Scaling for Models with Multiple Absorbing States|
|Mendes J.F.F, Dickman R., Henkel, M., Ceu Marques M.|
|J. Phys. A Math. Gen. 27 (1994) 3019|
|ArXiv : cond-mat/9312028 [PDF]|
At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a transition into an absorbing state, which is capable of describing exponents which vary according to the initial configuration. The resulting hyperscaling relation is supported by simulations of two lattice models.