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Lecture Monte carlo simulations: Application to lattice models: Part I - TS. Ngô Văn Thanh

Lecture Monte carlo simulations: Application to lattice models, part I - Basics. The main contents of this chapter include all of the following: Introduction, thermodynamics and statistical mechanics, phase transition, probability theory. | wra lis iSissiMS aBi Sti t w III SS8S8SS8 SJjlSl fMMMMr Monte Carlo Simulations Application to Lattice Models 11. Ill I. III. 111 III. 111 III. 111III III II III II III II III II III II III II III II III II III II III II III II III II III II ll. y I II 11 I I I II II14-J Li Cx Ễ LtSỄ Ì Ls Part I. Basics I.1. Introduction I.2. Thermodynamics and statistical mechanics --ị I I - J J - I I I I J I.3. Phase transition I.4. Probability theory Part II. Monte Carlo II.1. The spin models 111111111111111111111111111111111111111111111111111111111111111111111 m 11.2. Boundary conditions 11.3. Simple sampling Monte Carlo methods mportance sampling Monte Carlo methods III.1. Part I e size effects and Reweighting methods inite size effects III.2. Single histogram method 111.3. Multipe histogra . urZ. 2 ù. 111.4. Wang-Landau method 111.5. The applications n n TTO TTT r method