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Kenzel W., Reents G., Clajus M. — Physics by Computer
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Название: Physics by ComputerАвторы: Kenzel W., Reents G., Clajus M.Аннотация: This course, intended for upper-division undergraduate or graduate students, was designed by W. Kinzel and G. Reents as a textbook in computational physics but may also serve as a supplement to courses in theoretical physics. It is an introduction to the solution of physical models by computer. The programs developed in this book are based on the modern computer languages Mathematica and C and are written for PCs as well as for workstations. 28 examples from different fields of physics are worked out, including chaos, fractals, the Hofstadter butterfly, phase transitions, Monte-Carlo simulations, percolation, polymers, combinatorial optimization, neural networks, and game theory. Detailed explanation of the algorithms and computer programs together with source files and graphics routines help the student gain thorough experience right from the start.
Язык: Рубрика: Физика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997Количество страниц: 289Добавлена в каталог: 17.03.2008Операции: Положить на полку |
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Long 5 225 Loop, conducting 34 Lorenz model 130 Lorenzj E.N 129 Lyapunov exponent 83 91 magnetization 192 Magnetization, spontaneous 198 Main 5 225 226 MAP 62 95 105 158 Marsaglia, G 160 Mass matrix 60 Master equation 185 191 Matrix 4 48 65 74 76 229 232 Matrix, diagonal 48 Matrix, Hamiltonian 49 71 75 76 Matrix, hermitian 61 Matrix, representation 48 Matrix, tridiagonal 48 66 67 139 144 149 MatrixForm 49 220 Maxiterations 86 Maxwell construction 38 Mean-field theory 182 Measured value 20 Mechanical system 121 memcpy 206 Metropolis algorithm 192 194 208 Minimax theorem 44 Minimum, absolute 202 MOD 96 158 Model function 23 Module 119 Modulo function 95 158 161 187 227 Molecular Dynamics 118 Momentum operator 64 Monomer 102 Monte Carlo simulation 195 197 202 204 Monte Carlo step 210 Multiparticle state 71 74 190 Multiparticle system 71 202 Multipole expansion 30 NDSolve 115 222 Needs 26 217 Nest 84 91 95 219 NestList 95 119 158 219 Network, electrical 52 Network, linear 54 Neumann, J. von 42 Neural computer 107 Neural network 107 neuron 107 Neuron, activity 111 NIntegrate 12 220 Node theorem 68 132 Nonlinearity 7 NonlinearRegress 25 217 Normal mode 60 Normalization 208 Number, irrational 65 70 95 Numerov method 132 Occupancy probability 185 191 OddQ 86 odeint 124-126 Ohm’s Law 52 54 Onsager, L 193 197 Operator 75 Operator, algebra 74 Operator, unitary 149 Optimization, combinatorial 203 Optimization, continuous 201 Optimization, discrete 201 Optimization, linear 42 44 201 Orbit 97 122 Orbit, chaotic 87 98 100 127 Orbit, periodic 87 88 Orbit, superstable 84 85 90 Order parameter 199 Order, magnetic 172 Oscillation 138 Oscillation, damped 126 Oscillation, longitudinal 59 Oscillator, anharmonic 48 131 Oscillator, harmonic 49 Oscillatory circuit 52 Parallel circuit 54 58 Parameter set 28 Parameter space 27 Parameter vector 23 28 ParametricPlot3D 37 214 Partition function 190 Path length, normalized 207 Pauli exclusion principle 71 72 Payout table 42 43 46 PDF 26 Peak voltage 19 210 Peierls trick 64 Pendulum 6 119 Pendulum, harmonic 9 Pendulum, nonlinear 122 Perceptron 107 112 Perceptron, learning rule 109 Percolation cluster 174 Percolation threshold 172 175 Period 146 158 161 Period, doubling 127 Period, relatively prime 161 Permutation 201 permutations 74 216 Perturbation 49 83 Phase 56 Phase difference 52 Phase factor 146 Phase space 9 11 120 122 Phase transition 39 82 172 174 182 190 198 phase velocity 152 Phase-space diagram 95 Phonon 59 62 Pixel 86 103 134 plot 8 141 213 PLOT3D 32 213 PlotRange 8 PlotVectorField 32 35 plus 4 Poincar 82 94 123 126 Poincar 121 Point 159 POINTER 5 230 233 Polygon 105 Polymer configuration 183 Polymer dynamics 183 Polymer molecule 102 182 186 Polynomial 68 Potential 37 131 Potential, anharmonic 48 134 Potential, chemical 199 Potential, commensurate 65 Potential, electric 107 Potential, electrostatic 30 Potential, periodic 93 97 Potential, quadratic 59 Potential, symmetric 131 Potential, well 42 121 Power dissipation 58 Power singularity 193 Power spectrum 19 PRECISION 91 Predictor-corrector method 119 print 141 218 219 printf 5 226 probability 43 145 probability distribution 154 Probability of presence 47 Probability, density 164 Probability, overall 148 Procaccia, I 123 Procedure 4 Product ansatz 47 Pseudo-random number 157 159 162 Pulse, rectangular 16 Quadratic form 32 Quadrupole approximation 33 Quadrupole moment 30-32 Quantile 26 Quantum Monte Carlo method 78 Quasi-ellipsoid 29 rand 5 103 158 168 177 206 230 Random 4 158 159 214 Random motion 164 Random number 4 21 46 113 157 205 Random number, generator 157-162 197 Random number, generator, linear congruential 158 Random number, generator, shift register 160 Random number, normally distributed 29 Random number, subtract-with-borrow 160 Random number, uniformly distributed 162 195 Random vector 102 Random walk 102 103 164 182 183 189 RAND_MAX 5 168 170 230 Rectangular voltage 58 Recurrence time 144 Recursion 150 Recursion, inverse 93 Relaxation time 195 Renormalization group theory 174 193 ReplacePart 75 Reptation 184-186 Resonance 54 56 57 Resonance, curve 56 Resonance, Frequency 54 56 58 Rest position 59 93 94 120 122 126 RETURN 5 231 Richardson extrapolation 118 Rosenblatt rule 110 Rosenblatt, F 109 RotateLeft 21 138 141 RotateRight 141 round 119 round trip 200 Rule 40 Runge — Kutta method 116 117 124 130 132 Sander, L.M 163 scalar 30 Scalar product 31 36 75 Scaling behavior 204 Scaling exponent 175 Scaling law 174 193 scanf 227 234 Schr 47 64 130 137 145 148 151 152 Schr 64 69 Schr 47 130 131 Schr 144 Schroeder, M 106 sech 138 Self-avoiding walk (SAW) 182 Self-intersection 184 Self-similarity 104 Sequence, periodic 158 Series 9 220 Series circuit 53 54 56 Series expansion 9 Series representation 145 Shooting method 132 135 Show 31 213 216 ShowProgress 26 Sierpinski gasket 104 Sign change 67 68 SIMPLIFY 38 220 Simulated annealing 200 203 208 Simulation 162 183 Single-particle level 77 Single-particle state 71 Site percolation 176 Size, average 165 173 Soliton 136 Solution, analytic 41 Solution, numerical 41 47 51 71 115 141 Solve 40 41 55 sort 76 216 Specific heat 199 Spectrum 63 Spin configuration 191 Spin correlation 80 Spin glass 202 sqrt 9 49 212 Stability 143 Stability, condition 143 Stability, limit 144 Standard deviation 176 Standard map 94 State 94 State, commensurate 95 97 State, incommensurate 98 99 State, initial 83 150 State, quasiperiodic 98 State, stable 93 State, stationary 47 145 191 Step size 117 118 120 142 152 Step size, adaptively controlled 125 Stochastic process 192 194 202 Strategy 43 44 Strategy, optimal 44 46 Strategy, stochastic 44 Stroboscopic illumination 123 struct 103 178 186 205 Sturm sequence 67 Subharmonic 83 SUM 32 75 Supercomputer 191 Superposition 47 61 148 Superposition, infinite 146 Susceptibility, magnetic 193 198 switch 112 169 228 Symmetry 66 68 69 74 78 131 133 145 146 193 Symmetry, breaking, spontaneous 192 Synapse 106 Synaptic plasticity 108 Synaptic strength 108 table 4 49 76 138 141 158 215 Take 158 Taylor expansion 116 132 139 153 Temperature, critical 39 41 Temperature, normalized 41 Tensor 4 30 TeXForm 12 77 Thickness 31 Thread 76 119 221 Threshold value 108 172 Time average 58 Time derivative 140 Time evolution 149 153 Time evolution, operator 148 Time evolution, quantum-mechanical 144 Time scale 123 198 Time scale, characteristic 152 Time series 110 Torque, periodic 122 Torus 195 Transfer matrix method 191 Transition probability 185 191 194 196 202 Translation 60 Translation, operator 64
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