Vorticity, Statistical Mechanics, and Monte Carlo Simulation

• Corporate Author: SpringerLink (Online service)
• Other Authors: Lim, Chjan (Editor), Nebus, Joseph (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Fluids.; Statistical physics.; Dynamical systems.; Applications of Mathematics.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Fluid- and Aerodynamics.

This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable resea...

Table of Contents:

• Probability
• Statistical Mechanics
• The Monte Carlo Approach
• Spectral Methods
• Discrete Models in Fluids
• Spin-Lattice Models
• Monte Carlo Simulations of Spin-Lattice Models on the Sphere
• Polyhedra and Ground States
• Mesh Generation
• Statistical Mechanics for a Vortex Gas
• Two-Layer Quasi-Geostrophic Models
• Coupled Barotropic Vorticity Dynamics on a Rotating Sphere.