Computational Physics Selected Methods Simple Exercises Serious Applications [Paperback]

Computational Physics. Selected Methods, Simple Exercises, Serious Applications is an overview written by leading researchers of a variety of fields and developments. Selected Methods introduce the reader to current fields, including molecular dynamics, hybrid Monte-Carlo algorithms, and neural networks. Simple Exercises give hands-on advice for effective program solutions from a small number of lines to demonstration programs with elaborate graphics. Serious Applications show how questions concerning, for example, aging, many-minima optimisation, or phase transitions can be treated by appropriate tools. The source code and demonstration graphics are included on a 3.5 MS-DOS diskette.Computational Physics. Selected Methods, Simple Exercises, Serious Applications is an overview written by leading researchers of a variety of fields and developments. Selected Methods introduce the reader to current fields, including molecular dynamics, hybrid Monte-Carlo algorithms, and neural networks. Simple Exercises give hands-on advice for effective program solutions from a small number of lines to demonstration programs with elaborate graphics. Serious Applications show how questions concerning, for example, aging, many-minima optimisation, or phase transitions can be treated by appropriate tools. The source code and demonstration graphics are included on a 3.5 MS-DOS diskette.Random Number Generation.- 1 Introduction.- 2 The Miracle Number 16807.- 3 Bit Strings of Kirkpatrick-Stoll.- 4 A Modern Example.- 5 Problems.- 6 Summary.- References.- A Few Exercises with Random Numbers.- Monte Carlo Simulations of Spin Systems.- 1 Introduction.- 2 Spin Models and Phase Transitions.- 2.1 Models and Observables.- 2.2 Phase Transitions.- 3 The Monte Carlo Method.- lC>