Critical Relaxation of a Non-Linear Fokker-Planck Equation
Open Access
- 1 September 1974
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 52 (3) , 871-885
- https://doi.org/10.1143/ptp.52.871
Abstract
The Fokker-Planck equation whose equilibrium solution is given by Wilson's probability density is considered. The conditional probability of the temporal process generated through this equation is expressed in the form of a path integral. With the aid of renormalization group transformations applied to this path probability density, the dynamical critical exponent characterizing asymptotic critical behavior of its long wavelength mode is determined to order ε2 (ε = 4-d) in agreement with that of Halperin, Hohenberg and Ma.Keywords
This publication has 2 references indexed in Scilit:
- Fluctuation and relaxation of macrovariablesJournal of Statistical Physics, 1973
- GeneralpartPublished by Springer Nature ,1973