laboratoire de physique statistique
 
 
laboratoire de physique statistique

Publications

Rechercher
Alexandros ALEXAKIS 


JOURNAL OF STATISTICAL PHYSICS 


1
P U B L I C A T I O N S



 
2012
Critical Exponents in Zero Dimensions - Alexakis, A. and Petrelis, F.
JOURNAL OF STATISTICAL PHYSICS 149738-753 (2012) 
LPS


Abstract : In the vicinity of the onset of an instability, we investigate the effect of colored multiplicative noise on the scaling of the moments of the unstable mode amplitude. We introduce a family of zero dimensional models for which we can calculate the exact value of the critical exponents beta (m) for all the moments. The results are obtained through asymptotic expansions that use the distance to onset as a small parameter. The examined family displays a variety of behaviors of the critical exponents that includes anomalous exponents: exponents that differ from the deterministic (mean-field) prediction, and multiscaling: non-linear dependence of the exponents on the order of the moment.