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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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#define 5 125 227 #include 5 125 227 24 26 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 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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