Monte Carlo methods in statistical physics /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Newman, M. E. J. (Mark E. J.)
Otros Autores: Barkema, G. T.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : New York : Clarendon Press ; Oxford University Press, 1999.
Temas:
Monte Carlo method.
Statistical physics.
Méthode de Monte-Carlo.
Physique statistique.
SCIENCE > Physics > General.
Monte Carlo method
Statistical physics
MATERIAIS.
MATERIAIS ELETRÔNICOS.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Equilibrium Monte Carlo simulations
  • Introduction
  • Statistical mechanics
  • Equilibrium
  • Fluctuations, correlations and responses
  • example: the Ising model
  • Numerical methods
  • Monte Carlo simulation
  • brief history of the Monte Carlo method
  • Problems
  • principles of equilibrium thermal Monte Carlo simulation
  • estimator
  • Importance sampling
  • Markov processes
  • Ergodicity
  • Detailed balance
  • Acceptance ratios
  • Continuous time Monte Carlo
  • Problems
  • Ising model and the Metropolis algorithm
  • Metropolis algorithm
  • Implementing the Metropolis algorithm
  • Equilibration
  • Measurement
  • Autocorrelation functions
  • Correlation times and Markov matrices
  • Calculation of errors
  • Estimation of statistical errors
  • blocking method
  • bootstrap method
  • jackknife method
  • Systematic errors
  • Measuring the entropy
  • Measuring correlation functions
  • actual calculation
  • phase transition
  • Critical fluctuations and critical showing down
  • Problems
  • Other algorithms for the Ising model
  • Critical exponents and their measurement
  • Wolff algorithm
  • Acceptance ratio for a cluster algorithm
  • Properties of the Wolff algorithm
  • correlation time and the dynamic exponent
  • dynamic exponent and the susceptibility
  • Further algorithms for the Ising model
  • Swendsen
  • Wang algorithm
  • Niedermayer's algorithm
  • Multigrid methods
  • invaded cluster algorithm
  • Other spin models
  • Potts models
  • Cluster algorithms for Potts models
  • Continuous spin models
  • Problems
  • conserved-order-parameter Ising model
  • Kawasaki algorithm
  • Simulation of interfaces
  • More efficient algorithms
  • continuous time algorithm
  • Equilibrium crystal shapes
  • Problems
  • Disordered spin models
  • Glassy systems
  • random-field Ising model
  • Spin glasses

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