 96199 Giambattista Giacomin and Joel L. Lebowitz
 Exact Macroscopic Description of Phase Segregation in Model Alloys
with Long Range Interactions
(26K, AmsTeX)
May 15, 96

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We derive an exact nonlinear nonlocal macroscopic equation for the time
evolution of the conserved order parameter $\rho({\text{\bf r}}, t)$ of a
microscopic model binary
alloy undergoing phase segregation: a $d$dimensional
lattice gas
evolving via Kawasaki exchange dynamics, satisfying
detailed balance for a Hamiltonian with a long range pair potential
$\gamma^d J(\gamma \vert
x \vert)$.
The
macroscopic evolution is on the spatial scale
$\gamma^{1}$ and time scale $\gamma^{2}$, in the
limit $\gamma \to 0$. The domain coarsening, described by
interface motion, is
similar to that obtained from the CahnHilliard equation.
\hfill\break
\phantom{a}\hfill\break
\phantom{a}\hfill\break
Pacs numbers: 05.20.y, 02.30Jr, 02.50Cw, 64.75+g, 64.70.Kb
 Files:
96199.tex