I was simulating non-equilibrium balance equations for two fluid mixtures which initially mix with different temperatures. The goal is to simulate overall temperature and concentration of one components through time( Equations for these, one can derive from Fluid Mechanics, Landau or from Onsager relations for diffusion and dissipative fluxes.) Simulations based on deterministic equations so no thermal noise or fluctuation added. If I add thermal fluctuation, a relatively well-studied topic, probably I will come up with Stochastic Partial differential Equations, which is harder to solve.
My question is there any quick formula which indicates how much variability or variance the thermal fluctuations would put into system? Something probably dependant on diffusion coefficient, thermal diffusivity, initial temperature and so forth?
https://www.sciencedirect.com/search?qs=thermal%20fluctuations%20to%20fluid%20mixture%20temperature&show=25&sortBy=relevance
Chapter Thermal nonequilibrium fluctuations in fluid mixtures
- Badges
- Science topic