03658nam a22005055i 4500 978-0-387-49431-9 DE-He213 20260521091923.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387494319 99780387494319 10.1007/978-0-387-49431-9 doi CICY 519 23 Lim, Chjan. editor. Vorticity, Statistical Mechanics, and Monte Carlo Simulation [recurso electrónico] / edited by Chjan Lim, Joseph Nebus. New York, NY : Springer New York, 2007. XIV, 290 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Springer Monographs in Mathematics, 1439-7382 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. 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 research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics. Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of in viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows. Special attention is given to spherical models as well. This book is intended for the upper-level undergraduate or the beginning graduate level courses of mathematics and physics. It will also be of interest to readers interested in statistical mechanics methods applied to fluid mechanics problems. Readers will gain an understanding of how to synthesize new mathematics by applying familiar tools in new ways, and develop new tools to fit particular applications. MATHEMATICS. DIFFERENTIABLE DYNAMICAL SYSTEMS. PHYSICS. FLUIDS. ENGINEERING. MATHEMATICS. APPLICATIONS OF MATHEMATICS. DYNAMICAL SYSTEMS AND ERGODIC THEORY. COMPLEXITY. FLUIDS. Nebus, Joseph. editor. SpringerLink (Online service) Springer eBooks Printed edition: 9780387350752 Springer Monographs in Mathematics, 1439-7382 http://dx.doi.org/10.1007/978-0-387-49431-9 Ver el texto completo en las instalaciones del CICY ddc ER 33784 33784 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 519 2025-07-10 08:40:04 2025-07-10 ER