Titlebook: Computational Physics; Selected Methods Sim Karl Heinz Hoffmann,Michael Schreiber Book 1996 Springer-Verlag Berlin Heidelberg 1996 algorith

陶醉

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拔出

https://doi.org/10.1007/978-3-662-45603-3s, the contact dynamics of Moreau and Jean, and the bottom-to-top-restructuring model are discussed in detail. Their range of applicability is carefully assessed, artefacts are pointed out, and key results obtained with the respective methods are presented.

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DEFT

Metastable Systems and Stochastic Optimization, activated relaxation dynamics of complex energy landscapes. The numerical as well as the analytical tools to analyse it are discussed. Finally two applications, aging phenomena in spin glasses and adaptive simulated annealing procedures, are presented.

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albuminuria

Quantum Monte Carlo Investigations for the Hubbard Model,el. The partition function is decomposed using the Trotter-Suzuki transformation (TS), the interaction is decoupled using the Hubbard-Stratonovich transformation. The problems that arise due to numerical instabilities and the negative sign problem, which is due to the Monte Carlo sampling technique, are briefly mentioned.

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发誓放弃

Monte Carlo Simulations of Spin Systems,at a continuous phase transition. For the example of the three-dimensional Heisenberg model it is shown how precise estimates of the transition temperature and the critical exponents can be extracted from the raw data. I conclude with a brief overview of recent results from similar high-precision studies of the Ising and XY models.