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
69 70 68 69 223 224 229—231 249 250 252 253 255 87 87 234 Almost everywhere 6 71 79 224 229 Anti-prism, hexagon 208 Anti-prism, square 192 207 210 Antiparallel 134 135 139 140 142 143 158 Aperiodic 54 59 Approximation, least mean squares 139 Archimedean solid 169 201 Atomic theory 1 Average 12 13 24 39 41 55 57—59 61 123 140 143 150 151 170 219 222 Baroclinic 235 237 242 243 Barotropic 235 237 242 243 245—247 249 253 256 257 260 Barotropic bias 242 Barotropic circulation 237 Barotropic energy 131 Barotropic flow viii 235 250 256 258—260 Barotropic fluid 235 245 248 Barotropic model 248 Barotropic rim current 242 Barotropic vortex 132 Barotropic vortex dynamics viii 3 245 Barotropic vorticity 246 247 Barotropic vorticity equation 246 247 250 258 Barotropic vorticity model 253 255 Bath 36 41 57 58 127 Bayes, probability 25 Bayes, statistics 25 Bayes, Thomas 25 26 Beltrami, Eugenio 69 Berlin — Kac model 116 117 258 260 Berlin, TH 116 Bessel, Friedrich Wilhelm 236 Black hole 1 Boltzmann, constant 31 41 57 Boltzmann, ensemble 42 Boltzmann, Ludwig 31 126 Boltzmann, statistics 44 45 Bose — Einstein, condensate 222 Bose — Einstein, statistics 45 Bose, Satyendranath 45 Boyle, Robert 2 Brownian motion 1 Buffon, Georges Compte de 55 Buffon, needle problem 55 Burgers, Johannes Martinus 6 Canonical 30 38 39 58 87—89 117 213 237 240 Casimir, effect 88 Casimir, Hendrik Bugt 88 Casimir, invariant 88 Center, 258 Center, mass 13 Center, polygon 98 Center, sphere 163 164 Center, vorticity 92 96 99 213 214 236 Centroid 163—165 168 169 171 173 Chandrasekhar, Subrahmanyan 1 Charles, Jacques-Alexandre-Cesar 2 Chebyshev, Pafnuty Lvovich 19 20 253 chemical potential 32 34 36 39 58 191 214 215 224 238 255 Circulation 32 36—39 57 115 116 119 121—123 127 128 143 156 219 223 224 226 227 230 231 236 237 242 248—250 255 259 Circulation, discrete 127 Code, spherical 209—211 complete 68 71 Condon — Shortley phase 78 Condon, Edward Uhler 78 conjugate 79 84 86 88 Constraint, canonical 57 58 215 245 249 256 Constraint, microcanonical 127 245 254 256 Convolution 75 Coriolis, acceleration 233 Coriolis, force 233 Coriolis, Gaspard Gustave de 233 Coriolis, parameter 233 234 Correlation 62 139 140 143 Correlation, coefficient 139 Correlation, function 137 139 140 Correlation, length 140 Correlation, linear 140 Correlation, nonlinear 139 Correlation, pairwise 139 Correlation, time 61 62 127 139 140 Correlation, zero 139 Covariance 18 Coxeter, Harold Scott Mac-Donald 161 192 209 Critical slowing down 137 cube 111 113 164 169 192 197 207 210 Cuboctahedron 192 201 208 Curie, Marie Klodowska 150 Curie, Pierre 150 Curie, point 150 Cylinder 87 Degeneracy 37 52 57 253 Degenerate, case 71 Degenerate, energy 252 253 Degenerate, gas 32 Degenerate, non- 260 Degenerate, state 130 169 Density, angular 219 Density, radial 219 Detailed balance 55—57 60 DiBattista, Mark T 234 237 242 Diffusion 2 Dipole 158 159 Dirac, delta function 82 113 Dirac, Paul Adrien Maurice 32 44 Dirichlet quotient viii 4 Discretization 79 Distribution, coarse-grain 242 Distribution, Gauss 21 22 44 62 117 242 Distribution, Gaussian 19 Distribution, marginal 17 Distribution, probability 21 25 35 38 128 243 Distribution, standard normal 21 Distribution, uniform 62 dodecahedron 201 203 208 Dual 73 87 162 169 Dynamics 3 4 36 79 80 83 85 91 99 100 103 104 111 112 188 211 233 234 249 Dynamics, aerodynamics 101 Dynamics, fluid 96 113 213 222 234 Dynamics, gas 1 31 Dynamics, Hamiltonian 90 Dynamics, molecular 79 Dynamics, ocean 234 Dynamics, particle 6 113 Dynamics, plane 91 Dynamics, vortex 3 4 7 83 133 214 257 Dynamics, vortex, double pyramid 110 Dynamics, vortex, line 99 101 Dynamics, vortex, octahedron 110 Dynamics, vortex, pair 92 94 101 103 Dynamics, vortex, polygon 96 107 Dynamics, vortex, tetrahedron 109 Dynamics, vortex, triangle 105 Dynamics, vorticity 249 EDGE 134 162—165 168 171—173 Ehrenfest, Paul 126 Eigenfunction 70—72 77 98 224 251 Eigenvalue 54 70—72 77 128 129 224 229 252 253 256 Eigenvector 54 70 71 Einstein, Albert 1 45 68 Energy viii 3 4 7 11 29 30 32—41 44 45 51 52 56—59 62 68 72 83—86 88—90 111 113 116—122 124—127 131 134 137 141—143 145 150 158—162 168—187 189 191—206 208 210 211 213—215 217 218 223 224 227 229 236—239 243 245 247 249 251—255 257 Energy, free, vii, viii 3 4 32 41 49 117 130 162 222—224 246 Energy, gravitational potential 245 Energy, internal, vii, viii 3 32 41 223 246 Energy, kinetic, viii 3 4 12 36 57 81—83 85 115 118 127 233 245—248 250 255 257 258 260 Energy, potential 85 188 246 Energy, self 118 127 Energy, total 245 Energy-Casimir method 89 Energy-enstrophy 117 127 246 250 254—257 Energy-enstrophy-circulation 116 Ensemble vii 29 30 34 41 58 61 139 222 Ensemble, Canonical 30 Ensemble, Grand Canonical 30 Ensemble, microcanonical 30 42 Enstrophy viii 4 30 58 115—117 119 120 122 125 127 128 144—146 148 151 152 154 156 158 159 245—252 254 256 Enstrophy, relative 4 131 132 246 249 253 255—258 260 Enthalpy 58 133 134 137 241 entropy vii 3 4 7 11 31 32 41 52 124 162 211 222 223 246 Equation, barotropic vorticity 247 249 258 Equation, Burgers 6 Equation, Euler viii 3 4 6 7 80 127 Equation, Euler — Lagrange 225 250 Equation, Maxwell 69 Equation, Poisson 80 Equilibration 24 157 219 Equilibrium 3 77 101 103—107 109—113 131 145 156 161 169 186 189 192 205 206 209 211 214—216 219 222 253 Equilibrium, crystalline 3 Equilibrium, dynamic viii 2 3 162 186 211 Equilibrium, fixed 99 102 Equilibrium, nonstatistical 41 Equilibrium, occupation vector 35 Equilibrium, polyhedron viii 3 Equilibrium, relative 96 104 107 109 187 Equilibrium, stable 102 253 Equilibrium, state 52 Equilibrium, statistical vii viii 2 3 7 38 41 42 48 54 55 57 59 60 126—128 134 144 159 162 188 189 211 213—216 218 222 223 242 245 246 249 Equilibrium, thermal viii 3 4 57 Ergodic 59 249 Error, mean square 71 72 Euler, Leonhard 4 Event 9 10 18 19 21 25 26 55 Extremal 3 251 f-plane 234 Face 110 113 162—165 168 169 173 201 Fermi — Dirac statistics 44 45 Fermi, Enrico 44 ferromagnetism 52 116 126 137 150 Fibonacci, generator 63 64 Fibonacci, Leonardo Pisano 63 Fibonacci, sequence 63 First integral 115 214 Fisher, Michael Ellis 126 Fitzgerald, George 217 Flow, fluid 2 Flow, geophysical 245 Flow, relative 255 Flow, vortex 2 Fluctuation 2 42—44 62 78 126 137 145 158 159 189 Fluid, barotropic 245 Fluid, inviscid 3 4 6 81 113 116 127 159 222 233 Fluid, turbulence 3 Fluid, viscous 4 Formula, Stirling 43 Fourier transform, fast 76 Fourier, coefficient 76 Fourier, component 252 Fourier, decomposition 8 Fourier, expansion 240 Fourier, Jean Baptiste Joseph, Baron de 67 Fourier, mode 128 Fourier, series 71 72 74 75 Fourier, transform 73—77 256 Froude, William 235 Fuller, Richard Buckminster 161 Function, Bessel 236 Function, characteristic 20 118 120 224 225 254 Function, cumulative distribution 11 12 Function, discrete mass 21 Function, Green 80—83 118 122 129 225 236 Function, indicator 20 254 Function, moment generating 21 22 Function, partition 260 Function, probability 32 Function, probability density 12—14 18 22 239 Function, probability distribution 27 Function, probability mass 11 13 17 Function, radial distribution 161 166—168 170 173—185 189—206 208 Function, reduced distribution 215 Functional viii 4 35 67 68 71—73 223—225 227 229 238 246 250 251 Fundamental solution 69 77 82 118 Galois, Evariste 89 Gauss, Johann Carl Friedrich 14 19 87 119 Gaussian 242 Gaussian, condition 131 Gaussian, integral 128 Gaussian, model 117 246 254 255 Gaussian, partition 255 Generator, add-with-carry 63 Generator, combined 65 Generator, Fibonacci 63 Generator, inverse congruential 64 Generator, linear congruence 62 Generator, multiple recursive 63 Generator, random number 62 Generator, subtract-with-carry 63 Geodesic 163—165 168—171 173 Geodesic, word 166—169 171 Gibbs, factor 48 144 217 223 Gibbs, Josiah Willard 34 42 Gibbs, partition function 241 Gibbs, picture 34 40 44 Gibbs, statistics 127 Graph 134 162 Graph, bipartite 134 Gravity 1 Green, George 5 Hamilton, Sir William Rowan 7 188 Hamiltonian 7 68 79 83—90 92 93 103 105 111 113 116—118 125 128 141 187 215 216 225 241 246 254 256 Hamiltonian, N-body 79 83 85 Hastings, rule 56 Hastings, W Keith 56 Hermite, Charles 69 Hermitian 69 Heton 113 234 241 242 Hilbert, David 68 214 Hogg, Nelson George 234 icosahedron 113 162 169—171 173 182 199 201 208 Inequality, Chebyshev 20 21 Inner product 67—69 87 258 Integral, Lebesgue — Stieltjes 14 Invariance time 79 Invariance translation 16 215 Involution 89 91 92 111—113 Irreducible 54 59 Ising, Ernst 52 Ising, interaction 259 Ising, model 52 116 117 126 128 248 254 256 259 260 Isotropy 172 Jacobi, Carl Gustav Jacob 14 87 Jacobian 87 89 247 Kac, Mark 116 Kamiltonian 89 Kelvin, William Thomson, Lord 96 Kernel 69 116 229 Kerr, Roy 1 Kraichnan, R.H. vii 246 Kutta, Martin Wilhelm 79 Lagrange, Joseph-Louis 32 Lagrange, multiplier 32 34 35 40 42 213 237 250 Laplace — Beltrami, equation 225 Laplace — Beltrami, inverse 77 Laplace — Beltrami, operator 69 77 81 82 119 129 224 229 Laplace, integral 128 256 Laplace, operator 70 Laplace, Pierre-Simon de 69
Реклама
-plane 
|
|
О проекте