title: Thermal diffusion in a sinusoidal temperature field.
abstract: Separation of liquid mixtures in a thermal gradient, known as the Ludwig-Soret effect or thermal diffusion, is governed by a nonlinear, partial differential equation. It is shown here that the nonlinear differential equation for a binary mixture can be reduced to a Hamiltonian system of equations and that a solution can be obtained for the linear problem. The calculation gives a closed form expression for the space and time dependence of the concentration profile of the mixture, valid at short times.
authors.affiliation: Department of Mathematics, McMaster University, Hamilton, Ontario, Canada.
authors.forename: Walter L
authors.initials: WL
authors.lastname: Craig
authors.forename: Sorasak
authors.initials: S
authors.lastname: Danworaphong
authors.forename: Gerald J
authors.initials: GJ
authors.lastname: Diebold