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Gould H., Tobochnik J., Christian W. — An introduction to computer simulation methods
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Íàçâàíèå: An introduction to computer simulation methodsÀâòîðû: Gould H., Tobochnik J., Christian W.Àííîòàöèÿ: Now in its third edition, this book teaches physical concepts using computer simulations. The text incorporates object-oriented programming techniques and encourages readers to develop good programming habits in the context of doing physics. Designed for readers at all levels. An Introduction to Computer Simulation Methods uses Java, currently the most popular programming language. Introduction, Tools for Doing Simulations, Simulating Particle Motion, Oscillatory Systems, Few-Body Problems: The Motion of the Planets, The Chaotic Motion of Dynamical Systems, Random Processes, The Dynamics of Many Particle Systems, Normal Modes and Waves, Electrodynamics, Numerical and Monte Carlo Methods, Percolation, Fractals and Kinetic Growth Models, Complex Systems, Monte Carlo Simulations of Thermal Systems, Quantum Systems, Visualization and Rigid Body Dynamics, Seeing in Special and General Relativity, Epilogue: The Unity of Physics For all readers interested in developing programming habits in the context of doing physics.
ßçûê: Ðóáðèêà: Ôèçèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Èçäàíèå: 3-d editionÃîä èçäàíèÿ: 2006Êîëè÷åñòâî ñòðàíèö: 813Äîáàâëåíà â êàòàëîã: 17.11.2013Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Acceptance probability 607 630 Accuracy 28 29 46 75 102—103 action see "Principle of least action" Air resistance 60 Algorithm 3 see Alloy 625 Anderson localization see "Localization" Animation 35—41 annealing 644 Ant in the labyrinth 509—511 Antiferromagnetism 623—626 Area-preserving map 176 Argon 8 256—257 Array 17 Aspect ratio 115 Attractor see "Chaos" Autocorrelation function 239 see Ballistic deposition 519 BASIC 4 Beats 89 343 Bifurcation, Hopf 248 Binary alloys 662 bit manipulation 237 569 650 Black holes 770—772 Black holes, Kerr metric 776—778 Boltzmann distribution see "Probability distribution" Burger's equation 582 C/C++ 4 canonical ensemble 276 597 609 Canonical ensemble, fluctuations 666 Cellular automata 530—543 568 Central limit theorem 213—215 Chaos Chapter 6 Chaos, attractor 144 Chaos, attractor, stable attractor 144 Chaos, basin of attraction 144 173 Chaos, bifurcation 144 Chaos, bifurcation diagram 145 Chaos, bifurcation, Hopf bifurcation 248 Chaos, bifurcation, period doubling 160 Chaos, bifurcation, pitchfork 146 154 Chaos, bifurcation, tangent 152 Chaos, billiard models 184—186 Chaos, butterfly effect 168 Chaos, chaotic scattering 186—188 Chaos, circle map 186 Chaos, controlling chaos 162—166 Chaos, double pendulum 178—180 Chaos, Feigenbaum constant 153 Chaos, Feigenbaum constant, estimating 153—154 181—182 Chaos, fixed point, qualitative properties 151—152 Chaos, fixed point, root finding algorithms 163 Chaos, fixed point, stability 189 Chaos, fixed point, stable fixed point 143 144 Chaos, fixed point, unstable fixed point 144 Chaos, forced damped pendulum 169—173 Chaos, fractals 520—522 Chaos, Hamiltonian chaos 173—181 Chaos, Henon map 166—167 Chaos, intermittency 152 Chaos, KAM tori 175 Chaos, logistic map 142—166 Chaos, Lorenz's atmospheric model 167—169 521 Chaos, Lorenz's atmospheric model, linearized equations 183 Chaos, Lyapunov exponent 157—161 167 Chaos, Lyapunov exponent, definition 157 Chaos, Lyapunov exponent, logistic map 159 Chaos, Lyapunov exponent, Lyapunov spectrum 182—184 Chaos, period doubling 157 Chaos, period doubling, bifurcation 160 Chaos, period doubling, chemical reactions 188—189 Chaos, period doubling, route to chaos 188 Chaos, pitchfork bifurcation 146 154 Chaos, Poincare map 169 Chaos, Poincare map, double pendulum 179 Chaos, scale invariance 492 Chaos, self-similarity 153—157 492 499 Chaos, sensitivity to initial conditions 157 271 Chaos, stadium billiard model 184—186 Chaos, standard map 175—177 Chaos, strange attractors 520 Chaos, superstable trajectory 154 181—182 Chaos, tangent bifurcation 152 Chaos, universality 156 Chaos, weak chaos 160—161 Chemical reactions, diffusion controlled 233—236 Chemical reactions, oscillations 104—105 Chemical reactions, pattern formation 247—249 Chi-square test 238 Cluster see "Percolation Ising Cluster, definition 452 Cluster, rare gas 660—661 Combinatorial optimization 643 complex numbers 41—44 Complex systems Chapter 14 Conservative system 97 174 Constrained dynamics 784—788 Control 41 Control, CalculationControl see "Open Source Physics" Control, SimulationControl see "Open Source Physics" Core repulsion 256 correlation length 619 621 646 Correlation time 231—232 617 Coupled oscillators 313—319 Critical exponents 471—475 see Critical slowing down 247 623 646 Curl 386 398—402 Damping 93—94 Damping, critical 94 Debye potential 133 Demon algorithm 592—598 663—665 Detailed balance condition 436 605 Differential cross section see "Scattering" Differential equations, adaptive step size algorithm 81 138 Differential equations, Beeman algorithm 78 Differential equations, Euler algorithm 13 14 Differential equations, Euler algorithm, stability 103 Differential equations, Euler — Cromer algorithm 29 45—46 75 88 Differential equations, Euler — Richardson algorithm 46—47 76 79 Differential equations, half-step algorithm 76 690 698 716 Differential equations, leapfrog algorithm see "Verlet algorithm" Differential equations, midpoint algorithm 75 Differential equations, Modified Euler algorithm 45—47 Differential equations, predictor-corrector algorithm 82 Differential equations, Runge — Kutta algorithm 55 78—80 Differential equations, symplectic algorithms 82—84 Differential equations, Verlet algorithm 77—78 83 84 258 264 272 Diffraction 345 Diffraction grating 351 Diffraction, Fraunhofer 352—354 Diffraction, Fresnel 355—358 Diffraction, single slit 351 Diffusion limited aggregation (DLA) see "Fractals" Diffusion, equation 216—217 249—251 664 673 701 Diffusion, equation, relation to fragmentation 245 Diffusion, equation, relation to random walks 249—251 Diffusion, equation, relation to Schroedinger's equation 707 Diffusion, mean square displacement 293 Diffusion, quantum Monte Carlo 707—711 Diffusion, relation to Laplace's equation 383 Diffusion, relation to Schroedinger's equation 673 701 Diffusion, self-diffusion coefficient 209 216 dispersion relation 315 Dissipative system 174 Divergence 398 400 Divergence, coordinate free definition 400 Drag force 60 61 63 65—66 70 Dynamical system see "Chaos" electric field 366—370 Electric field lines 370—376 Electric potential 376—378 Electrical circuits, analogy to mechanical systems 99 Electrical circuits, filter 100 101 Electrical circuits, Kirchhoff's loop rule 98 Electrical circuits, Kirchhoff's loop rule, voltage drops 98 Electrical circuits, oscillations 98—102 Electrical circuits, RC 98—101 Electrical circuits, resonance curve 101 Electrical circuits, resonant frequency 101 Electrical circuits, RLC 102 Electrostatic shielding 378 Encapsulation 5 26 43 47 Energy conservation 78 87—88 98 entropy 161 299 see Entropy, generalized 162 Entropy, logistic map 161—162 Entropy, strong and weak chaotic systems 162 Equilibrium, approach 199 201—202 270 578—579 590 Equilibrium, fluctuations 200—201 272 Equilibrium, nature 272 Equipartition theorem 597 Equipotential lines 377 Ergodicity 301 Error analysis, Monte Carlo 426—429 Euler angles 739 760—762 Euler's equation 736 Exact enumeration 202 510 Fermat's principle 240—243 Fermi, Pasta, Ulam (FPU) problem 339—340 Field-driven transition 636 Filter 100 Finite difference 13 Finite size scaling 471—475 First-order phase transition 624 636 638 Fitting 222 449 see Fitting, exponential 112 Fitting, power law 112 Floating point 102 Fluid flow, lattice gas model 568—579 FORTRAN 4 Fourier synthesis 324—325 Fourier transform 313 322—340 695—698 Fourier transform, fast Fourier transform 359—362 689 696—698 Fourier transform, Fourier analysis 328—331 Fourier transform, Fourier coefficients 322 Fourier transform, Fourier integrals 335 Fourier transform, Fourier series 322—325 Fourier transform, Gibbs phenomenon 325 Fourier transform, Nyquist frequency 325 Fourier transform, Parseval's theorem 336 Fourier transform, power spectrum 336—340 Fourier transform, sampling theorem 325 Fourier transform, spatial 333 Fourier transform, two-dimensional 333 Fractal dimension 491—499 Fractal dimension, box dimension 501 520 Fractal dimension, correlation dimension 520 521 Fractal dimension, correlation function 520 Fractal dimension, generalized dimension 522 Fractal dimension, information dimension 523 Fractal dimension, mass dimension 491 522 523 Fractal dimension, percolation clusters 493 Fractals Chapter 13 Fractals, cluster-cluster aggregation (CCA) 525—526 Fractals, diffusion limited aggregation (DLA) 511—515 Fractals, Eden model 503—504 518—519 Fractals, epidemic model 502—503 Fractals, invasion percolation 504—509 Fractals, Koch curve 499—502 Fractals, Laplacian growth model 515—517 Fractals, monofractals 523 Fractals, multifractals 523 Fractals, self-affine 518 Fractals, Sierpinski carpet 502 Fractals, Sierpinski gasket 502 Fractals, strange attractors see "Chaos" Free fall 14—19 frequency 87 Frustration 627 Galaxy model 781—783 Game of life 540—543 General relativity 118 767—778 Genetic algorithm 561—568 Genotype 562—563 Geometrical growth 142 Geometrical optics 240 Gram — Schmidt orthogonalization 183 Granular matter 305—307 Green's function 389 707 709 Hamiltonian 82 83 173—181 637 654 656 Hard disks, molecular dynamics 282—297 Hard disks, Monte Carlo 628—631 661—662 Hard rods 628—630 Hard spheres 628 heat capacity 608 609 666 Heat flow 663—665 Heisenberg model 300—301 656—657 Helmholtz free energy 597 624 633 636 651 Histogram method 633—635 Hodgkin — Huxley equations 105—107 Holonomic constraints 784 Hopfield model 551—555 Hysteresis 624 Impedance 102 Importance sampling see "Monte Carlo" inheritance 5 26—30 Inheritance, extends 27 Inheritance, subclass 27 Inheritance, superclass 27 inner class 124 Instance variable 23 Integer variable 16 Integrable 174 Integration see "Numerical integration" Interference 345—352 Interpolation 444—450 Ising model 554 598 609—627 Ising model, cluster algorithms (Swendsen — Wang, Wolff) 647 649 650 Ising model, demon algorithm see "Demon algorithm" Ising model, Glauber dynamics 659 Ising model, single spin flip dynamics (Metropolis algorithm) 605—606 609—618 Java language 4 Java language for loop 17 Java language, abstract 26 Java language, arrays 17 37 39 52 Java language, assignment operator 17 Java language, byte code 14 Java language, case-sensitivity 15 16 21 Java language, cast 17 Java language, classpath 15 Java language, clone interface 756 Java language, constructor 21 23 Java language, dot operator 22 Java language, event listeners 119 Java language, if 37 Java language, import 30 Java language, inheritance 26—29 Java language, instance variable 23 Java language, instantiation 22 Java language, interface 47—48 Java language, keywords 21 Java language, local variable 23 Java language, main method 14 Java language, Math class 25 Java language, methods 14 Java language, mouse actions 119 Java language, new operator 22 Java language, objects 19—25 Java language, operators 20 Java language, package 15
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