Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7379643 | Physica A: Statistical Mechanics and its Applications | 2014 | 7 Pages |
Abstract
It is proved that it is possible to obtain continuum deterministic and stochastic evolution equations from a set of discrete stochastic rules after an average over realizations and over near neighbors or coarse graining on the dynamical variables, respectively. Examples are given that allow us to find the Hamilton evolution equation for the dynamical variables and the Euler evolution equation for the Lagrangian of the system with additive noises.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
G. Costanza,