000			03824nam a22005535i 4500
001			978-0-387-49431-9
003			DE-He213
005			20161121231123.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387494319 _9978-0-387-49431-9
024	7		_a10.1007/978-0-387-49431-9 _2doi
050		4	_aT57-57.97
072		7	_aPBW _2bicssc
072		7	_aMAT003000 _2bisacsh
082	0	4	_a519 _223
245	1	0	_aVorticity, Statistical Mechanics, and Monte Carlo Simulation _h[electronic resource] / _cedited by Chjan Lim, Joseph Nebus.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXIV, 290 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aProbability -- 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.
520			_aThis 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.
650		0	_aMathematics.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aFluids.
650		0	_aStatistical physics.
650		0	_aDynamical systems.
650	1	4	_aMathematics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
650	2	4	_aFluid- and Aerodynamics.
700	1		_aLim, Chjan. _eeditor.
700	1		_aNebus, Joseph. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387350752
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-49431-9
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c508891 _d508891