We describe some recent progress in deriving autonomous hydrodynamic type equations for macroscopic variables from model stochastic microscopic dynamics of particles on a lattice. The derivations also yield the microscopic fluctuations about the deterministic macroscopic evolution. These grow, with time, to become infinite when the deterministic solution is unstable. A form of microscopic pattern selection is also found.
|Original language||English (US)|
|Number of pages||8|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Dec 1 1986|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics