Inference - A Reimagined Interface for Stable Diffusion, Built-In to Stability Matrix

In this model, mass transport through dense membranes is believed to take place by three fundamental processes: (i) permeate molecules dissolve onto upstream surface of the …

Diffusion Due to random motion, molecules of a high concentration will tend to flow towards a region in space where the concentration is lower. Examples: A dye injected into solution …

The differential equation governing the flow can be derived by performing a mass balance on the fluid within a control volume. 1.1 One-dimensional Case. First consider a one-dimensional …

Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or …

We apply our discretization of the diffusion operator to the current value of the field $u^n_j$, to get our formula for the future values: $$ u_j^{n+1} = u_j^n + \frac{K \Delta t}{\Delta x^2} \left( …

The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian motion, resulting from the random …

Reaction-diffusion equations extend ordinary differential equation models to entire spatial areas in one, two, or three dimensions. At the macroscopic level, diffusion describe the tendency of a …

Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by …

Matrix diffusion is the migration of dissolved solutes from flowing macropores or fractures into the more-or-less stagnant pores of adjacent rock matrix. This report provides a review of matrix …