The mass transport in the presence of stress, electrical, mechanical and chemical potential gradients in multicomponent solid solution is analyzed. We simulate the deformation field during the diffusion caused by the gradients of the chemical potential of all elements. The method is based on the Darken concept, the calorimetric equation of state and Gauss equation. We effectively couple the mass conservation (continuity equations) with the energy and momentum conservation laws. The diffusion fluxes of the components are given by the Nernst-Planck formulae and take into account the electro-chemical and mechanical potentials.

We are presenting the numerical results for Cu-Fe-Ni alloy. The simulations show that the model is compatible with experimental results, and can be effectively used for modeling the energy, momentum and mass transport problems in compressible multicomponent solid solutions. The electro-mechano-chemical transport is a multi-scale problem. The transport is governed by light velocity (~10⁸ ms^-1), strain field characterized by "sound velocity" in the medium (~10⁴ ms^-1) and slow diffusion process characterized by self-velocity of diffusion (~10^-2 ms^-1). The theoretical and numerical problems and methods of solution are presented.

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