Lectures related to Diffusion equation

Covers boundary conditions for heat diffusion in 1D systems.

Covers the solutions of neutron diffusion, including analytical solutions, Laplacian in different geometries, and the physical significance of the diffusion area.

Maximum Entropy Principle: Stochastic Differential Equations

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.

Diffusion Equation

Explores the diffusion equation, flux, diffusivity, Fick's Law, boundary conditions, and concentration-dependent diffusion coefficient.

Random Walk Simulation: Mean Displacement and Diffusion Coefficient

Covers random walk simulation, mean displacement, and diffusion coefficient calculations for weakly ionized particles.

2D Conduction: Method of Separation of Variables

Explains the method of separation of variables for 2D conduction problems and the limitations of the electrical analogy.

Computational Geomechanics: Week 4

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Diffusion and Transport Phenomena

Explores diffusion, transport phenomena, Fick's law, thermal and electrical transport, Onsager's relations, and thermoelectric effects.

Diffusion Coefficient: Einstein's Relation

Explores the diffusion coefficient and its relation to mean square displacement.

Heat Equation: Core and Solutions

Explores the heat equation core, solutions, and diffusion behavior over time.

Brownian Motion: Theory and Applications

Covers the theory of Brownian motion, diffusion, and random walks, with a focus on Einstein's theory for one-dimensional motion.

Diffusion of Neutrons

Covers analytical solutions for neutron diffusion from planar sources in different media.

Diffusion in Fluids: Understanding Mass Transport

Covers diffusion, focusing on mass transport in fluids and its mathematical formulation.

Diffusion Equation: Continuum Description

Covers the diffusion equation and its applications in various coordinate systems.

Diffusion Coefficients: Self-Diffusion and Suspended Particles

Explores diffusion coefficients for self-diffusion and suspended particles in fluids.

Diffusion: Fick's Law and Einstein's Demonstration

Explores Fick's law, diffusion equations, and real-life applications.

Brownian Motion: Einstein Derivation

Covers the derivation of Brownian motion by Einstein and Langevin equations, including the Chapman Kolmogorov equation.

Diffusion of Neutrons - Part II

Covers the review of the diffusion equation and its analytical solutions for simple cases, along with the physical significance of the diffusion area.

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Transport Phenomena: Onsager Relations and Heat Equation

Covers Onsager relations, diffusion equation, Fourier's law, electrical transport, Ohm's law, and thermophoresis.