Monte-Carlo Methods

Mathematical Tools for Physicists

Volumn , Issue , 2006, Pages 249-280

  Binder, K ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Accuracy problems; Applications in classical statistical mechanics of condensed matter systems; Applications to simulation of transport processes; Lattice gauge theory; Monte Carlo methods; Monte Carlo methods in statistical thermodynamics; Quantum Monte Carlo techniques; Random number generation; Simple sampling of probability distributions using random numbers

Indexed keywords

EID: 84875629549     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/3527607773.ch9     Document Type: Chapter

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75. A textbook describing for the beginner how to learn to write Monte-Carlo programs and to analyze the output generated by them has been written by Binder, K., Heermann, D. W. (1988), Monte Carlo Simulation in Statistical Physics: An Introduction, Berlin: Springer. This book emphasizes applications of statistical mechanics such as random walks, percolation, and the Ising model.
76. A useful book that gives much weight to applications outside of statistical mechanics is Kalos, M. H., Whitlock, P. A. (1986), Monte Carlo Methods, Vol. 1, New York: Wiley.
77. A more general but pedagogic introduction to computer simulation is presented in Gould, H., Tobochnik, J. (1988), An Introduction to Computer Simulation Methods/Applications to Physical Systems, Parts 1 and 2, Reading, MA:Addison-Wesley.
78. A rather systematic collection of applications of Monte-Carlo studies in statistical mechanics and condensed matter physics has been compiled in a series of books edited by the author of this article: Binder, K. (1979) (Ed.), Monte Carlo Methods in Statistical Physics, Berlin: Springer;
79. Binder, K. (1984) (Ed.), Applications of the Monte Carlo Method in Statistical Physics, Berlin: Springer;
80. Binder, K. (1992) (Ed.), TheMonte CarloMethod in Condensed Matter Physics, Berlin: Springer.
81. Finally we draw attention to two important areas which are only briefly covered in the present article: For quantum problems, see Suzuki, M. H. (1987) (Ed.), Quantum Monte Carlo Methods, Berlin: Springer;
82. Doll, J. D., Gubernaitis, J. E. (1990) (Eds.), Quantum Simulations, Singapore: World Scientific. For lattice gauge theory
83. Bunk, B., Mütter, K. H., Schilling, K. (1986) (Eds.), Lattice Gauge Theory, A Challenge in Large-Scale Computing, New York: Plenum;
84. De Grand, T. (1992), in: H. Gausterer, C. B. Lang (Eds.), Computational Methods in Field Theory, Berlin: Springer, pp. 159-203;
85. Smit, J., van Baal, P. (1993) (Eds.), Lattice 92, Amsterdam: North Holland.