Lectures related to Brownian Motion: Molecular Nature Revealed

Brownian Motion: From Molecules to Cells

Explores the core concepts of Brownian motion, from molecules to cells, including its history, hypothesis versus description, Langevin's solution, and methods for measuring Brownian motion.

Maximum Entropy Principle: Stochastic Differential Equations

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

White Noise Form of the Langevin Equation

Covers the white noise form of the Langevin equation and its applications.

Langevin dynamics: Path Integral Methods

Covers Langevin dynamics, Fokker-Planck equation, solving the Langevin equation, and efficiency of Langevin sampling in molecular dynamics.

Computational Cell Biology: Modeling Cellular Complexity

Explores computational cell biology, modeling cellular complexity through molecular interactions and the challenges of atomistic simulations.

Conservation of Momentum and Kinetic Energy

Explores conservation of momentum and kinetic energy in collisions, emphasizing the importance of understanding collision outcomes.

Fokker-Planck & KPZ Equations

Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

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.

Momentum and Impulse: Conservation and Center of Mass

Explores momentum, impulse, and conservation principles in dynamic systems.

Biomechanics of Musculoskeletal System: Linear Constitutive Law

Explores biomechanics of musculoskeletal system and tissue behavior under mechanical loading.

Diffusion Coefficients: Understanding Molecular Movement

Covers diffusion coefficients, self-diffusion, and the Stokes-Einstein relation in fluids.

Ordinary Differential Equations: General Framework

Explores the general framework of ordinary differential equations and their significance in various fields.

Diffusion in Fluids: Understanding Mass Transport

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

Hamiltonian Formalism: Conservation Laws

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Stochastic Processes: Brownian Motion

Explores Brownian motion, Langevin equations, and stochastic processes in physics.

Stochastic Calculus: Itô's Formula

Covers Stochastic Calculus, focusing on Itô's Formula, Stochastic Differential Equations, martingale properties, and option pricing.

Diffusion: Macroscopic View

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

Plasma Physics: Self-consistent Description

Covers the self-consistent description of a plasma and conservation principles.

Boundary Problems in 1D: Finite Differences

Covers chapter 10 on boundary problems in 1D using finite difference methods.