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Kenzel W., Reents G., Clajus M. — Physics by Computer
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Название: Physics by Computer
Авторы: 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: 1997
Количество страниц: 289
Добавлена в каталог: 17.03.2008
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Предметный указатель
#define 5 125 227
#include 5 125 227
distribution 24 26
test 23
abs 9
AccuracyGoal 86
Aggregate 166 167
Aggregate, fractal 170
Aliasing 17
Alternating Current 52
Alternating voltage 52
Amplitude equation 140 143
Anharmonicity 50
Annihilation operator 48 71 73
Antisymmetry 72
apply 4
Approximation 48 138
arcsin 8 213
Array, two-dimensional 168
Arrhenius’ law 198 202
AspectRatio 105 213
ASSIGNMENT 54
atoi 205
Attractor 87 104 122
Attractor, periodic 123
Attractor, strange 123
AUTOMATIC 105 213
Average 138
Average, statistical 183 192
Average, thermal 199
Average, weighted 20
B nard experiment 129
Band 65 78
Band, chaotic 90 127
Barrier, Gaussian 156
Basin of attraction 123
Bessel function 21
besselj 21 213 218
Bifurcation point 84
Bloch theorem 65
Block 4 86 218
Boltzmann constant 39 190
Boltzmann factor 196 202 204
Bond percolation 176
Boundary condition 77 132 147 165
Boundary condition, periodic 60 73 195
break 112 229
Bulirsch-Stoer method 119
CASE 112
CDF 26
Ceil 133
Central limit theorem 191
Chaos 81 83 87
Chaos, deterministic 81 83
char 5 225
Charge distribution 30
Charge, total 31
Chirikov map 94
ChiSquareDistribution 26
Chop 62 216
circle 31
clock-t 5
Cluster 165 171 172 175 177 180
coexistence 40
Compilation 6
Concentration, critical 172
Confidence interval 24 26
Confidence level 29
contour 27 32
contourplot 9 32 214
contours 9
Contraction 32
Control parameter 129 199
Convection cell 127
Convergence 109
Convolution 14 21
Coordinate representation 47 145
Correlation 159
Correlation, length 175 193 197
Courant condition 140
Creation operator 48 71 73
Critical concentration see Concentration critical
critical exponent see Exponent critical
Critical phenomenon 172
Critical slowing down 199
Crystal, aperiodic 19
Curl 37
Current density 146 166
CYCLE 88 127
D 37 40 219
Data, noisy 22
Data, smoothed 21
default 112 229
Degeneracy 78
Derivative 39 84
Derivative, discretized 143
Derivative, operator 37
Detailed balance 185 191 194
Determinant 72
Deterministic system 113
Deviation, quadratic 24
Devil’s staircase 99
DiagonalMatrix 49 61 220
Difference equation 137 149
Differential equation 82 203
Differential equation, linear 47 59
Differential equation, nonlinear 115
Differential equation, ordinary 115
Differential equation, partial 136 144 148
Diffusion 164 195 198
Diffusion, equation 164
Diffusion, equation, radially symmetric 166
Diffusion, limited aggregation 164
Dimension, embedding 102
Dimension, fractal 102 123 164 171 174 175 182 189
Dipole approximation 33
Dipole moment 30 32
Distribution, initial 146
Distribution, initial, symmetrized 148
Distribution, stationary 185
DO 4 86 138 141 219
Domain wall 195 198
Dot 31 221
double 5 225
Double occupancy 78
Double-well potential 51 121 135
Drop 31
Duality theorem 44
Dynamic, continuous 94
Dynamic, symbolic 84 90 92
Eigenmode 61 63 139
Eigenstate 47 65 77 131 145
Eigensystem 76 221
Eigenvalue 47-49 59 61 65 67 69 76 78 131 145
Eigenvalue, equation 47 51 61
Eigenvalue, equation, generalized 60
Eigenvalue, problem 66
Eigenvalues 49 62 76 221
Eigenvector 47 59 61 66 76
Elliptic integral 7
EllipticE 35
EllipticF 8
EllipticK 8 12 35
else 187 228
End-to-end distance 182 183 186
Energy 190 202
Energy, eigenvalue 50 131
Energy, landscape 208
Energy, level 42 51 77 134
Equation of motion 60 118 120
Equation of motion, linear 59
Equation of state 38
Equation, implicit 149
Equation, transcendental 42
Equations, system of 52 56
Equations, system of, linear 47 59
Equilibrium, thermal 190-192 195 198 202 203
Error, local 118
Euler method 116 119 120
Euler step 118 148
Evaluate 8
expand 75 214 223
Expansion coefficient 146
Expansion, symbolic 11
Explosion criterion 134
Exponent, critical 174 181 182 193 199
Expression, logical 54
Fast Fourier transform (FFT) 15
Feigenbaum constant 83 88
feof 112
fgetc 112
Fibonacci number 19
Field 38
Field, electric 30
Field, magnetic 34 63
Filter 56
FindMinimum 25
FindRoot 41 84-86 98 218 221
Finite size scaling 175 178 181 193 199
first 95
Fit, nonlinear 23 25
Five-cycle 88 92
Fixed point 82 87
Flatten 62 74 105
float 5 225
Flory, P. J. 182
Fluctuation 175 192 195 198 199
Flux quantum 64
Flux, area-preserving 94
Flux, magnetic 64
fopen 112
for 4 219
Force, gravitational 120
Force, periodic 122
Forward-two-point formula 137
Four-cycle 83 90
FOURIER 8 15
Fourier coefficient 55
Fourier series 8 54
Fourier transformation 7 10 13-21 52 55 60 152 210
Fourier transformation, inverse 13 55
Fractal 102 105 123 173
Frequency, angular 52
Frequency, fundamental 146
Frequency, incommensurate 97
Frequency, spectrum 83
Friction 120
Fugacity 199
Function, boolean 108
Function, nonlinear 93
Gain 42 44
game of chance 46
Game theory 42
Gamma function, incomplete 24
Gas 39
Gaussian distribution 20 163
gcc 6 240
Generalization 108 110
Gershgorin’s theorem 67
Golden ratio 98
Gradient 30 36
Graphics 31 105
Graphics object 31 105 158
Graphics3D 159
Grassberger, P 123
Ground state 76 78 94 99 131
Ground state, energy 50 79 203
Growth algorithm 178 180
Growth process 164 177
Hamiltonian 48 51 71 73 75 119 149
Hamiltonian, normalized 145
Harper equation 64 66 70
Hermite polynomial 48
histogram 86
Hit frequency 110 112
Hofstadter butterfly 63-70
Hofstadter, D 63
Hoshen, J 177
Hubbard, J 71
Hyperplane 108 109
if 41 76 218 219
Impedance, complex 52
Implicit method 144
Information dimension 124
Information entropy 124
Initial condition 61 83 121 165
Initial state see state initial
Initial value 116 132
Initial-value problem 164
Initialization 138
int 5 225
Integrate 9 11 37 220
Integration procedure 125
Integration step 133
Integration, numerical 148
Interaction potential 93
Interaction, attractive 183
Interaction, magnetic 172
Interference pattern 146 153
Interpolation 141
Inverse 61 221
InverseFourier 15 21
Irrational multiple 123
Irrational value 65
Ising ferromagnet 192 197
Ising model 190
Isotherm 38
Isotropy 165
Iteration 84
Iteration, inverse 85 90 150
JacobiAmplitude 8
JacobiSN 8
Join 86
KAM orbit 98 100
Kernel 20
Keyboard buffer 206
Kirchhoff’s law 52
Koch curve 106
Kopelman, R 177
Korteweg-de Vries equation 136
Lattice, cubic 164
Lattice, gas 199
Lattice, square 172
Lattice, triangular 172
Lattice, vector, primitive 159
Lattice, vibration 59 62
Leapfrog method 118
Learning 106 108 110
Learning, rule 107
Leath, P.L 177
Length 4 76 216
Line 31
Line integral 36
LinearProgramming 42 45
Liouville’s theorem 94
Liquid 39
LIST 4 215
Listable 37 215
listplot 10 62 95 138 216
Logistic map 81 88
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