A General Theory of Diffusion | Zendy

Liqiu Wang | Zendy

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A General Theory of Diffusion

Author(s) -

Liqiu Wang

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.101.541

Subject(s) - physics , thermal conduction , diffusion , momentum diffusion , momentum (technical analysis) , heat flux , diffusion process , mass flux , viscosity , general theory , fourier transform , classical mechanics , flux (metallurgy) , statistical physics , thermodynamics , theoretical physics , heat transfer , quantum mechanics , knowledge management , innovation diffusion , finance , computer science , turbulence , economics , materials science , metallurgy

Both necessary and sufficient conditions are derived in a systematic, rigorous way for a diffusion process to satisfy two fundamental principles: the principle of frame-indifference and the second law of thermodynamics. This yields a general theory of diffusion which generalizes the classical flux laws (Newton's law of viscosity for momentum, Fourier's law of heat conduction for heat, and Fick's first law of diffusion for mass) in the sense that it can be used in a diffusion process with the effect of convection. Also developed is an approximate theory which reduces three flux functions in the general theory to three material-coefficients.link_to_OA_fulltex

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