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Lecture
Brownian Motion: Molecular Nature Revealed
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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.