Авторизация
Поиск по указателям
Lim Ch., Nebus J. — Vorticity, Statistical Mechanics, and Monte Carlo Simulation
Обсудите книгу на научном форуме Нашли опечатку?
Название: Vorticity, Statistical Mechanics, and Monte Carlo SimulationАвторы: Lim Ch., Nebus J. Аннотация: 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 of 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 provide the tools to answer them.
Язык: Рубрика: Механика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 1st editionГод издания: 2006Количество страниц: 290Добавлена в каталог: 14.05.2008Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Laplacian 80 128 Larmor, frequency 217 218 Larmor, Sir Joseph 217 Law of Large Numbers 53 Law of Large Numbers, strong 23 Law of large numbers, weak 21 23 Lebesgue, Henri Leon 14 Legendre, Adrien-Marie 77 Legendre, polynomial 77 Limit, continuum 29 109 115 128 Limit, non-extensive continuum 4 115 254 260 Liouville, Joseph 89 Lipschitz, condition 74 Lipschitz, Rudolf Otto Sigismund 74 Lyapunov, Aleksandr Mikhailovich 253 Mach, Ernst 45 Macroscopic 2 Macrostate 35—38 42—45 51 59 123 246 Magnetism vii Majda, Andrew J 234 237 242 Manifold 86 87 250 Markov, Andrei Andreevich 19 21 253 Markov, chain 21 24 26 27 29 53—55 57—61 169 248 Markov, inequality 20 Markov, sequence 19 Maxwell — Boltzmann 42—44 Maxwell, James Clerk 42 Mean 11 13 19—25 39 58 80 126 139 143 171 257 mean field viii 150 151 157 159 205 222—224 234 237 240 242 260 Mechanics, orbital 1 Method, Euler — Lagrange 251 Metropolis — Hastings 7 56—58 61 128 134 137 140 141 143 156 158 159 161 162 169—171 189 190 192 201 205—208 242 248 Metropolis, Nicholas Constantine 56 60 Metropolis, rule 7 55 56 Microcanonical 30 38 127 Microstate 2 35—37 42 51 52 54 57—59 61 123 128 Model, spherical 248 260 Model, spin-lattice 257 Moment, central 16 Moment, first 16 Moment, fourth 23 Moment, inertia 15 213 214 Moment, magnetic 139 217 Moment, n-th 15 Moment, second 16 Moment, vorticity 214—218 249 Momentum 5 6 79 81 83—85 113 Momentum, angular 91 113 130 131 236 238 245—248 250 254 255 260 Momentum, linear 91 214 Monte Carlo 3 7 9 24—27 29 39 51 54—56 60 76 79 114—117 125—127 132—134 140 143 144 156—159 162 169 171—173 186—188 210 213 218 219 223 227 241—243 257 Motion, rotational 104 n-vector, model 248 Navier — Stokes viii 4 Navier, Claude Louis Marie Henri 4 Nernst — Thomson rule 211 Newton, Isaac 1 Nonequilibrium 2 Norm 68 71 76 84 213 214 223 249 253 255 Number, Froude 235 242 Number, kissing 211 Number, Knudsen vii Number, occupation 34 40 42 44—46 Number, quantum 45 Number, random 57 58 62 64 65 133 214 241 Number, state 58 O(3) 190 O(n), model 248 octahedron 110—113 162 166 167 169—171 173 178 192 195 206 207 210 Onsager, gas 3 41 151 224 240 Onsager, Lars vii 3 41 124 125 Operator 67—72 81 83 224 Operator, derivative 67 70 Operator, hermitian 69 Operator, identity 72 Operator, integral 67 70 224 Operator, inverse 82 Operator, Laplacian 80 Operator, linear 69 Operator, noncommutative 44 Operator, normal 70 Operator, self-adjoint 69—71 224 229 Orbit 1 84 102 191 Orthogonal 47 68 71 113 120 129 190 Orthonormal 224 230 251 Pair, conjugate 84 85 parallel 5 56 77 88 137—141 143 158 168 207 Parity 142 143 Parity, mean nearest neighbor 140 142—146 148 150—152 154 156—159 Parity, nearest neighbor 143 Partition function 30 32 34 38—40 45 46 48 49 51 52 55 58 72 73 116 128 134 137 151 205 215 237 238 241 243 246 255 256 Pauli, exclusion principle 44 45 Pauli, Wolfgang Ernst 45 Pentagon 201 Period 8 54 62—65 72 74 Periodic 72 74 98 Phase space 25 Phase transition viii 61 115 116 125—127 131 137 140 144 145 151 159 246 259 Planck, Max Karl Ernst Ludwig 32 52 79 Platonic solid 113 162 169 192 201 Poisson, bracket 88 89 Poisson, Simeon Denis 80 Polyhedron viii 3 110 111 113 161—164 167—173 186 192 201 207—209 Polyhedron, dual 192 Polyhedron, tree 168—170 Polyhedron, word 169 POSITION 5 29 59 68 79 80 82—88 90 92 94 96 98—100 110 111 114 124 133 134 140 142 168 169 186—190 205 210 214 215 219 234 241 Potts, model 117 Pressure 5 6 41 58 125 235 probability 9—12 17 19—26 30 32 33 37—39 42 44 51 53—61 117 127 128 190 215 242 Probability, conditional 25 Probability, joint 17 18 Probability, uniform 15 Probability, vector 53 Projection, stereographic 89 90 Pseudo-energy 236 Pythagoreans 1 Quaternion 7 74 188 189 Radius, containment 215 219 Random walk 2 54 56 Random, variable 10—15 17—21 23 51 139 Riemann, Georg Friedrich Bernhard 119 Riemann, sum 119 120 Rigid body 189 Rossby, Carl-Gustaf Arvid 235 Rossby, radius 235 242 Rossby, wave 235 Runge — Kutta 79 188 Runge, Carle David Tolme 79 Saccheri, Giovanni Girolamo 70 Saddle point 47—49 130 131 224 226 Saddle point, method 46 130 Schrodinger, Erwin 2 Second integral 81 Selective decay 248 249 Shortley, Goerge Hiram 78 Solid-body 3 131 140 158 246 249 253 255 257 260 Space phase 288 Space, compact 72 73 125 Space, dual 73 Space, Euclidean 70 224 Space, function 68 Space, Hilbert 68 69 71 73 Space, parameter 257 Space, phase 54 59 61 83—89 99 124 125 128 243 Space, probability 10 18 26 Space, sample 9—11 27 Space, topological 72 73 250 Space, vector 67 68 71 73 251 Spectral method 8 Spectrum 2 8 72 73 77—79 116 246 Spectrum method 67 Spectrum, decomposition 72 Spherical coordinate 247 Spherical harmonic 77 78 128 141 142 156 250 251 255 Spherical model 116 117 127 128 132 151 245 246 254 256—258 260 Spin vii viii 45 74 115 139 140 246 247 253 255—258 260 Spin-lattice vii 115 116 127 131 133 137 139 151 159 186 246 254 256 SPREAD 62 square-integrable 68 223 224 227 229 230 252 Stability, Lyapunov 254 Stable, Lyapunov 253 Standard deviation 16 139 156 157 State 2—4 7 8 27 29—36 38—40 42 44 45 51—61 123 124 126 128 130 131 134 136 137 140 142—145 151 156 158 162 169 191 208 214 215 241 249 253 257 260 State, antiparallel 137 142 145 151 158 State, equilibrium 52 107 State, ground viii 4 130 161 162 171 173 246 State, parallel 139—143 145 157 158 State, recurrent 54 State, steady 4 59 247 253 260 Statistical mechanics 3 Steepest descent 47 48 Steepest descent, method 46 130 Stieltjes, Thomas Jan 14 STIRLING, JAMES 43 Stokes, George Gabriel 4 Stommel, Henry 234 Stream function 80 235 247 Stream function, coarse-grain 234 Super-rotation 245 Support 218 219 224 227 229 230 242 Sutton, Daud 161 162 Symmetry, 113 Symmetry, breaking 253 Symmetry, continuous 259 Symmetry, I 113 Symmetry, mirror 205 207 Symmetry, O(3) 113 190 191 Symmetry, reflection 113 190 191 Symmetry, rotational 98 113 190 191 205 216 253 Symmetry, SO(3) 113 253 259 Symmetry, T 113 Symplectic coordinate 86 87 103 Symplectic form 87 Symplectic integrator 79 Symplectic manifold 86 87 Symplectic pair 88 Symplectic structure 89 Symplectic variable 86 Taylor, Brooke 42 Taylor, polynomial 42 Taylor, series 47 48 Temperature 3 5 7 31 36 38 41 57—59 61 113 114 117 124—127 129—131 133 134 136 137 140 143—146 148 150—152 154 162 189 210 215 222—224 235 238 242 246 254 257 260 Temperature, critical viii 131 132 150 246 Temperature, negative viii 3 7 8 52 114 115 121 124 125 131 132 137 144 145 151 158 246 249 Temperature, positive vii viii 3 8 131 134 145 222 223 243 tetrahedron 109 110 161 162 164 169 170 173 174 192 193 206 207 210 Theorem, Bayes 26 Theorem, central limit 19 22 Theorem, Coleman 259 Theorem, degenerate energy maximizers 252 Theorem, degenerate energy maximizers, converse 253 Theorem, Green 5 6 Theorem, Kutta — Joukowski 79 Theorem, limit 19 Theorem, Liouville 89 Theorem, Mermin — Wagner 259 Theorem, Mermin — Wagner — Hohenberg 259 Theorem, minimizer 72 Theorem, negative temperatures 124 Theorem, Noether 214 Theorem, Planck vii 3 41 162 246 Theorem, radial distribution 191 Theorem, radial distribution function 191 Theorem, residue 46 Theorem, rotating sphere 253 260 Theorem, saddle point 49 Theorem, spectrum 70 224 230 Theorem, Splitting 165 Theorem, Stokes 81 259 Theorem, unique extremals 249 250 Theorem, unique radial minimizer 229 Thermodynamics vii Thomson, James J 211 Thomson, model 211 Toth, Laszlo Fejes 209 Transformation, canonical 89 Transition matrix 53 60 Transition, phase 260 Turbulence 2 3 8 235 Two-form 86 87 Value, expectation 11—13 15 16 18—20 23 24 26 27 38 39 44 51—53 59 61 139 242 van der Walls, Johannes Diderik 2 Variable, coarse-grain 123 Variable, conjugate 79 85 86 88 133 Variable, discrete 11 13 15 Variable, extensive 126 Variable, independent 21 139 215 Variable, intensive 126 Variance 15 16 18—22 24 27 43 Variation 151 Variation, bounded 74 Variation, latitude 80 Variation, longitude 80 Variation, pressure 235 Velocity, angular 248 260 Vertex 96—98 105 107 109 111—113 134 161—165 169 172 192 201 206 207 210 211 Volume 41 58 59 89 107 124 126 161 243 Volume, differential 5 87 124 201 von Karman trail 101 102 108 113 192 von Karman, Theodore 101 102 Voronoi, cell 118 121 123 172 254 Voronoi, diagram 117 118 134 Voronoy, Georgy Fedoseevich 117 Vortex viii 1—3 7 41 79 85 91 95 96 98—103 109—114 133 151 161 162 169 186—189 191 192 209—211 213—220 222—224 233 236 237 239—242 256 261 Vortex gas viii 3 7 41 79 91 113—115 118 125 151 161 169 186—188 192 209—211 213 214 218 222—224 240 241 Vortex, discrete 7 79 118 119 122 216 222 237 239 Vorticity vii 3 6—8 29 30 73 77 79—83 92 113 115 117—119 121—123 126 127 137 139—145 150 157—159 173 201 205 214—217 219 222—224 226 227 229 230 233—235 237—242 245—251 253—255 257 258 260 Vorticity, discrete 77 82 Vorticity, relative 248 Vriational model 260 Vriational principle 250 Vriational problem 226 229 231 249 253 Vriational theory 257 260 Wave-number 74—76 98 134 137 252 Wedge product 87 Weinbaum, Stanley G 9 Wigner, Eugene 1 XY, model 248 Zhukovski — Kutta airfoil 79
Реклама
|
|
О проекте