Quasichemical Models of Multicomponent Nonlinear Diffusion

  title={Quasichemical Models of Multicomponent Nonlinear Diffusion},
  author={Alexander N. Gorban and H. Sargsyan and H. A. Wahab},
  journal={Mathematical Modelling of Natural Phenomena},
  • Alexander N. Gorban, H. Sargsyan, H. A. Wahab
  • Published 2011
  • Mathematics, Physics
  • Mathematical Modelling of Natural Phenomena
  • Diffusion preserves the positivity of concentrations, therefore, multicomponent diffu- sion should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear multicom- ponent diffusion equations should be ordered and special tools are needed to provide the systematic construction of the nonlinear diffusion equations for multicomponent mixtures with significant in- teraction between components. We develop an approach to nonlinear multicomponent diffusion based on the idea of… CONTINUE READING
    51 Citations

    Figures from this paper.

    Nonlinear diffusion in multicomponent liquid solutions.
    • 2
    Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law
    • 6
    • PDF
    Chemical reaction-diffusion networks: convergence of the method of lines
    • 7
    • PDF
    The robust finite-volume schemes for modeling nonclassical surface reactions
    • 4
    • Highly Influenced
    • PDF
    Diffusion and Transport of Molecules In Living Cells
    • 8
    • Highly Influenced


    Multicomponent diffusion theory and its applications to polymer‐solvent systems
    • 70
    Constraints in nonequilibrium thermodynamics : General framework and application to multicomponent diffusiona)
    • 16
    Constraints in nonequilibrium thermodynamics: General framework and application to multicomponent diffusion.
    • 8
    Spinodal Decomposition for Multicomponent Cahn–Hilliard Systems
    • 17
    General mass action kinetics
    • 860
    • Highly Influential
    The Porous Medium Equation: Mathematical Theory
    • 688
    • PDF
    Stochastic simulation of chemical kinetics.
    • 1,512
    • PDF
    Energetics of the Kirkendall effect
    • 7