Term information
The Cahn Hilliard equation (after John W. Cahn and J. E. Hilliard) is an equation of mathematical physics which describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. If c is the concentration of the fluid, with c=\pm1 indicating domains, then the equation is written as \frac{\partial c}{\partial t} = D\nabla^2\left(c^3-c-\gamma\nabla^2 c\right), where D is a diffusion coefficient with units of Length2 / Time and \sqrt{\gamma} gives the length of the transition regions between the domains. Here \partial/{\partial t} is the partial time derivative and \nabla^2 is the Laplacian in n dimensions. Additionally, the quantity \mu = c^3-c-\gamma\nabla^2 c is identified as a chemical potential. source: http://en.wikipedia.org/wiki/Cahn%E2%80%93Hilliard_equation
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Term relations
- diffusion equation
- has_about some (
graph and
has_quality some non-linear) - has_variable some (
variable and
is_about some concentration of) - has_variable some (
variable and
is_about some (
quality and
quality_of some diffusion))