On the Kinetic Equations for Binary Mixtures

概要

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We examined master equations for diffusion processes and propose that the transition probability is proportional to the number of particles of diffusing species, multiplied by the factor exp[-{E(f)-E(i)}/2k_BT], which describes the ease of the transition as a function of the energy difference between the final and the initial states. In the case of a binary mixture, the resulting kinetic equation becomes (∂ρ)/(∂t)=D_0∇ρ(ρ_0-ρ)∇(δF)/(δρ) where ρ is the local density of a component, ρ_0 is the total density and F is the free energy functional. Due to the factor ρ (ρ_0-ρ), there is a situation in which the phase separation rate slows down at later stage of a deep quenching case. On the other hand, in the neighborhood of the critical point, this factor can be replaced by a constant.
理論物理学刊行会の論文
1979-04-01