Third Granada lectures in computational physics: proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1995
|
| Schriftenreihe: | Lecture notes in physics
448 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 346 S. Ill., graph. Darst. |
| ISBN: | 3540591788 |
Internformat
MARC
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| 245 | 1 | 0 | |a Third Granada lectures in computational physics |b proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 |c Pedro L. Garrido ... (ed.) |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
| 300 | |a XIV, 346 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 448 | |
| 650 | 7 | |a Physique - Informatique - Congrès |2 ram | |
| 650 | 7 | |a Physique mathématique - Congrès |2 ram | |
| 650 | 4 | |a Datenverarbeitung | |
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| 650 | 0 | 7 | |a Physik |0 (DE-588)4045956-1 |2 gnd |9 rswk-swf |
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| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1994 |z Granada |2 gnd-content | |
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| 711 | 2 | |a Granada Seminar on Computational Physics |n 3 |d 1994 |c Granada |j Sonstige |0 (DE-588)2145196-5 |4 oth | |
| 830 | 0 | |a Lecture notes in physics |v 448 |w (DE-604)BV000003166 |9 448 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-006716330 | ||
Datensatz im Suchindex
| _version_ | 1804124507628109824 |
|---|---|
| adam_text | Contents
Part I: INVITED LECTURES
Computational Field Theory and Pattern Formation
Ä.
Toral
................................................... 3
1.
Monte Carlo Methods
........................................ 3
1.1
Introduction
........................................... 3
1.2
Uniform Sampling
...................................... 5
1.3
Importance Sampling for
N=1 ........................... 6
1.4
Rejection Method for
N=1 .............................. 10
1.5
Rejection with Repetition
............................... 12
1.6
The Algorithm of Metropolis
et al........................
14
1.7
Rejection Method in the N-dimensional Case
.............. 18
1.8
Heat Bath
............................................ 19
2.
The
Ф4
Model
.............................................. 20
2.1
Introduction and Basic Definitions
....................... 20
2.2
Monte Carlo Methods
.................................. 24
2.3
Histogram Extrapolation
................................ 28
2.4
Finite Size Scaling
..................................... 30
3.
Field Dynamics
............................................. 33
3.1
Introduction
........................................... 33
3.2
The
Langevin
Equation
................................. 34
3.3
Numerical Solutions of Stochastic Differential Equations
.... 37
4.
Hybrid Monte Carlo
......................................... 41
4.1
Introduction
........................................... 41
4.2
Molecular Dynamics
.................................... 42
4.3
Hybrid Monte Carlo
.................................... 44
4.4
Generalized Hybrid Monte Carlo
......................... 46
4.5
Fourier Acceleration
.................................... 48
5.
Applications in Domain Growth
............................... 50
5.1
Dynamics of First Order Phase Transitions
................ 50
5.2
Growth of Rough Surfaces
.............................. 57
References
.................................................. 63
Simulating Granular Media on the Computer
H.J. Herrmann
............................................. 67
1.
Introduction
................................................ 67
2.
Molecular Dynamics Technique
............................... 70
3.
Angle of Repose and Angle of Marginal Stability
................ 72
4.
Simulating Granular Media on a Vibrating Plate
................ 73
5.
Simulating Size Segregation
................................... 80
6.
Simulating the Flow Through Hoppers and Pipes
................ 85
7.
Traffic Models
.............................................. 89
8.
Lattice Gas and Boltzmann Lattice Models
..................... 91
9.
A Thermodynamic Approach to Granular Media
................ 100
10.
Sound Propagation in Granular Assemblies
..................... 102
11.
Plastic Deformation and Shear Bands in Dense Packings
......... 106
12.
Discussion
.................................................. 109
References
.................................................. 110
Some Physical and Computational Aspects of
Self—organized Criticality
A. Diaz-Guilera
............................................. 115
1.
Introduction
................................................ 115
2.
Sandpiles, Cellular Automata and Self-organized Criticality
...... 116
2.1
The
Bak, Tang
and
Wiesenfeld Sandpile
Model
............ 116
2.2
Critical Behavior
....................................... 119
2.3
What is New in Self-organized Criticality
................. 120
2.4
Relationship to Real Sandpiles
........................... 121
3.
Experiments, Computers and Theories
......................... 121
3.1
Physical Systems Exhibiting Self-organized Criticality
...... 121
3.2
Simple Numerical Models
............................... 122
3.3
Cellular Automata and Coupled Map Lattice Models
....... 123
3.4
Theoretical Studies
..................................... 124
4.
Computational Aspects of Self-Organized Criticality
............. 124
4.1
Preparing the System
................................... 125
4.2
Time Evolution
........................................ 125
4.3
Extracting Information
................................. 128
References
.................................................. 137
Critical Percolation with Moving Disks
I.M. Polo and J.F.
Fernández
................................. 141
1.
Introduction
................................................ 141
2.
The Model
................................................. 142
3.
Results
.................................................... 143
References
.................................................. 143
Fourier Techniques in Numerical Methods for
Evolutionary Problems
J.M. Sanz-Serna
............................................ 145
1.
Introduction
................................................ 145
1.1
Scope
................................................. 145
1.2
Some Mathematical Preliminaries
........................ 146
2.
Review of Fourier Series
...................................... 147
2.1
The L2 Theory
........................................ 147
2.2
The Trigonometric Version
.............................. 149
XI
2.3
Fourier
Series
and Derivatives
........................... 151
3.
Fourier Analysis of Initial Value Problems
...................... 153
3.1
Formal Solution
........................................ 153
3.2
Well-Posed Problems
................................... 154
3.3
Dissipation and Dispersion
.............................. 156
4.
Discrete Fourier Analysis
..................................... 159
4.1
The Discrete Fourier Transform
.......................... 159
4.2
An Application: Systems of Ordinary Differential Equations
with
Circulant
Matrices
................................. 160
4.3
The Fast Fourier Transform
............................. 162
5.
Discrete Fourier Transform vs. Fourier Series
................... 165
5.1
A First Look at Aliasing
................................ 165
5.2
Trigonometric Interpolation
............................. 167
5.3
More Aliasing: Discrete FourieT Coefficients vs. Fourier
Coefficients
............................................ 171
6.
Fourier Analysis of Finite-Difference Algorithms:
the Time-Continuous Case
................................... 173
6.1
Spatial Discretizations of Initial Value Problems
........... 173
6.2
The
Von
Neumann Stability Analysis
..................... 178
6.3
The Roles of Stability and Consistency from a
Fourier Viewpoint
...................................... 179
6.4
Numerical Dissipation and Numerical Dispersion
........... 183
7.
Fourier Analysis of Finite-Difference Algorithms:
the Fully-Discrete Case
...................................... 184
7.1
Full Discretization of Initial Value Problems
............... 184
7.2
The
Von
Neumann Stability Analysis
..................... 187
7.3
The Roles of Stability and Consistency from a
Fourier Viewpoint
...................................... 187
7.4
Numerical Dissipation and Numerical Dispersion
........... 188
8.
The Practical Relevance of Fourier Analysis of Difference Methods
189
9.
Spectral Methods
........................................... 191
9.1
Spectral Methods for Periodic Linear Constant
Coefficient Problems
.................................... 191
9.2
Pseudospectral
Difference Matrices
....................... 193
9.3
The
Pseudospectral
Method for Periodic Nonlinear Problems
196
References
.................................................. 198
A Fast Algorithm for the Generation of Random Numbers with
Exponential and Normal Distributions
J.F.
Fernández
and J.
Rivero
................................. 201
1.
Introduction
................................................ 201
2.
Physical Motivation
......................................... 203
3.
The Algorithms
............................................. 204
3.1
Exponential Random Deviates
........................... 204
3.2
Normal Random Deviates
............................... 205
XII
4.
Derivation
.................................................. 206
5.
Performance
................................................ 207
References
.................................................. 209
Numerical Simulations of a Nonlinear Klein—Gordon Model.
Applications
P.J.
Pascual,
S.
Jiménez
and
L.
Vázquez
....................... 211
1.
Introduction
................................................ 211
2.
Solitary Waves
.............................................. 212
3.
Numerical Treatment of the Sine-Gordon Equation
.............. 213
3.1
Numerical Schemes
..................................... 213
3.2
A stochastic Sine-Gordon model
......................... 216
4.
Numerical Schemes for Euler-Lagrange Equations
............... 217
4.1
Schemes for the Collective Coordinates Study
.............. 217
4.2
Extension to a General Lagrangian
....................... 218
5.
Sine-Gordon Equation Under Multiplicative Noise
............... 221
5.1
The Soliton
........................................... 221
5.2
The Breather
.......................................... 227
5.3
Soliton Under Dissipation
............................... 235
5.4
Breather Under Dissipation
............................. 238
6.
Sine-Gordon Equation Under Additive Noise and
Periodic Perturbation
........................................ 239
6.1
The Soliton
........................................... 239
6.2
The Breather
.......................................... 244
6.3
Soliton with Dissipation
................................ 248
6.4
Breather with Dissipation
............................... 252
7.
Charge Density Waves Modelling
.............................. 257
7.1
General Aspects
....................................... 257
7.2
Models
............................................... 259
7.3
CDW Overdamped Model
............................... 261
7.4
Underlying Elastic Lattice Model
........................ 264
References
.................................................. 269
Topics on Chaotic Dynamics
G. Gallavotti
............................................... 271
1.
Dynamical Systems and Their Statistics
........................ 271
2.
Dynamical Bases and Lyapunov Exponents
..................... 275
3.
Chaotic Motions
............................................ 282
4.
Time Reversible Systems. Ruelle s Principle
.................... 292
5.
Summary and Outlook
....................................... 300
Appendix: Philosophical Questions; and a Few Concrete Ones
..... 302
References
.................................................. 310
XIII
Part II: CONTRIBUTIONS
Multistable Steady States and Oscillations in a
Surface Reaction Model
M.C. Lemos,
J.J.
Luque
and F.
Jiménez-Morales
................ 315
Comparison of Two
Fokker—
Planck Modelings for a
Master Equation
M.A.
Muñoz
and P.L.
Garrido
................................ 316
Computational Studies of the Complex Ginzburg-Landau
Equation and Its Non-equilibrium Potential
R.
Montagne,
E.
Hernández-García
and
M. San Miguel
.......... 317
Deterministic
Simulation
of
Domain
Pattern
Formation
Under
Instantaneous Nucleation
Conditions
C.H.
Worrier
............................................... 319
Morphological Instabilities of a Nematic-Smectic
В
Interface
R.
González-Cinca,
L.
Ramírez-Piscina,
J. Casademunt and
A. Hernández-Machado
...................................... 321
Dynamic Time R-escaled Monte Carlo Algorithm
L.
Bitar,
P.A.
Serena, P.
García-Mochales
and
N.
Garcia
........ 322
Pattern Formation in Convection of Rotating Fluids
J.
Millán-Rodriguez,
С.
Pérez-García
and
M.
Bestehorn
.......... 323
Co dimension
Two Bifurcation in
Unidimensional
Heating
A.M.
Mancho-Sánchez
and C.
Pérez-García
.................... 325
Cylinders and Wheels Rolling into Chaos
CM. Arizmendi, H.N.
Núñez-Yépez
and A.L. Salas-Brito
........ 326
On the Transition to Columnar Convection
A. Alonso
and
M.
Net
....................................... 327
Finite Temperature dc Conductance of
Random Dimer Superlattices
E.
Diez, A. Sánchez
and F.
Domínguez-Adame
.................. 329
A Multigrid Approach to Parallel Simulations in
Nonlinear Optics
I. Martin,
V.M.
Pérez-García,
F.
Tirado
and
L.
Vázquez
......... 331
XIV
Surface
Electromagnetic
Waves on Index-Matched Interfaces
M. Lester and R.
Deţine
..................................... 333
Conservative Numerical Schemes for
Euler—Lagrange
Equations
S.
Jiménez
................................................. 335
Suppression of Chaotic Behaviour in Models of Chemical Chaos
J.
Gñémez,
J.M.
Gutiérrez, A. Iglesias
and M.A.
Matías
......... 337
Perturbing Variables in
Poincaré
Sections to Suppress Chaos
J.M.
Gutiérrez, A. Iglesias,
J.
Gñémez
and
Μ.Α.
Matías
......... 339
Ergodic Theory
for
Unidimensional Jacobi
Matrices
A.I.
Alonso
and C. Nunez
.................................... 341
Order in Binary Sequences and the Properties of
the Routes to Chaos
R.
López-Ruiz
.............................................. 342
List of Participants
........................................... 343
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| genre_facet | Konferenzschrift 1994 Granada |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:46:46Z |
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| institution_GND | (DE-588)2145196-5 |
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| physical | XIV, 346 S. Ill., graph. Darst. |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 Pedro L. Garrido ... (ed.) Berlin u.a. Springer 1995 XIV, 346 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 448 Physique - Informatique - Congrès ram Physique mathématique - Congrès ram Datenverarbeitung Physics Data processing Congresses Computerphysik (DE-588)4273564-6 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1994 Granada gnd-content Physik (DE-588)4045956-1 s Computersimulation (DE-588)4148259-1 s DE-604 Computerphysik (DE-588)4273564-6 s Garrido, Pedro L. Sonstige oth Granada Seminar on Computational Physics 3 1994 Granada Sonstige (DE-588)2145196-5 oth Lecture notes in physics 448 (DE-604)BV000003166 448 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006716330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 Lecture notes in physics Physique - Informatique - Congrès ram Physique mathématique - Congrès ram Datenverarbeitung Physics Data processing Congresses Computerphysik (DE-588)4273564-6 gnd Physik (DE-588)4045956-1 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4273564-6 (DE-588)4045956-1 (DE-588)4148259-1 (DE-588)1071861417 |
| title | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 |
| title_auth | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 |
| title_exact_search | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 |
| title_full | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 Pedro L. Garrido ... (ed.) |
| title_fullStr | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 Pedro L. Garrido ... (ed.) |
| title_full_unstemmed | Third Granada lectures in computational physics proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 Pedro L. Garrido ... (ed.) |
| title_short | Third Granada lectures in computational physics |
| title_sort | third granada lectures in computational physics proceedings of the iii granada seminar on computational physics held at granada spain 5 10 september 1994 |
| title_sub | proceedings of the III Granada Seminar on Computational Physics, held at Granada, Spain, 5 - 10 September 1994 |
| topic | Physique - Informatique - Congrès ram Physique mathématique - Congrès ram Datenverarbeitung Physics Data processing Congresses Computerphysik (DE-588)4273564-6 gnd Physik (DE-588)4045956-1 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Physique - Informatique - Congrès Physique mathématique - Congrès Datenverarbeitung Physics Data processing Congresses Computerphysik Physik Computersimulation Konferenzschrift 1994 Granada |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006716330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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