I am trying to clarify the relation between random walk and diffusion, and the source book proposes the following which I can't get. Starting from the diffusion equation $$ \\frac{\\partial C}{\\part...

I know that the diffusion equation is a more general version of the heat equation. But what is the exact difference informally?

Nov 6, 2017 · 2 I read everywhere that diffusion and heat equations are similar. The same differential equations can be solved for both. Consider a finite one-dimensional diffusion or heat transfer where …

That tells us that we have to separate the Schrödinger equation into two, one equating the real parts of the two sides, and one equating the imaginary parts. The meaning of this imaginary diffusion …

Jan 7, 2021 · With this definition, the diffusion equation is time-reversal symmetric if, for all solutions $\rho (x,t)$, we have that $\rho (x,-t)$ is also a solution. Since this is clearly false, the diffusion …

The diffusion N-S equation is represented by shear viscosity, as the fundamental mechanism of shear viscosity is the diffusion of momentum among different fluid layers. So, terms in the multiplication of …

Convection is the collective motion of particles in a fluid and actually encompasses both diffusion and advection. Advection is the motion of particles along the bulk flow Diffusion is the net movement of …

This causes the equation's solutions to osculate instead of decay with time because $$ \exp (-Dt)=\exp (-iD't) $$ Which is why the Schrödinger equation has wave solutions like the wave equation's. It seems …

Dec 1, 2017 · I often see that one can write the characteristic time (or time scale) of a diffusive process as: τ = L2 d τ = L 2 d where L L is the characteristic length and d d is the diffusion coefficient. 1) How …

Imagine I have the following situation: inside a sphere containing mostly water, solute A is diffusing from the center to the end of the sphere: At r=0, mass of A is continuously generated through...