統計力學（二）
Statistical Mechanics (II)
| 節 | 週三 |
|---|---|
7 15:30–16:20 | 統計力學（二） SC162（光復） 3 節連堂 |
8 16:30–17:20 | |
9 17:30–18:20 |
* 根據陽明交大上課時間表所列
This course develops the theoretical foundations of classical and quantum systems away from thermodynamic equilibrium. It begins with stochastic processes and kinetic descriptions, proceeds through linear-response theory, transport, and fluctuation relations, and culminates in hydrodynamics, nonequilibrium phase transitions, field-theoretic methods, and quantum nonequilibrium phenomena. The central objective is to explain how irreversible macroscopic dynamics, transport, dissipation, and entropy production emerge from microscopic dynamical laws. Particular emphasis is placed on the distinction between equilibrium states, transient nonequilibrium states, and nonequilibrium steady states. The course is divided into five thematic units: -Foundations and stochastic dynamics: irreversibility, Markov processes, Langevin dynamics, and Fokker--Planck equations -Response and transport: fluctuation--dissipation relations, kinetic theory, and hydrodynamics -Nonequilibrium thermodynamics: entropy production, steady states, and fluctuation theorems -Field theory and collective phenomena: dynamical path integrals, reaction--diffusion systems, and nonequilibrium phase transitions -Quantum nonequilibrium physics: quantum quenches, equilibration, open systems, Lindblad dynamics, and Keldysh methods
Statistical Physics I
無備註
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Homework and class participation: 30 % Midterm Exam: 20 % Final presentation: 50%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Foundations of Nonequilibrium Statistical Physics 2026-09-09(三) |
| 第 2 週 | Probability Theory and Stochastic Processes 2026-09-16(三) |
| 第 3 週 | Langevin Dynamics 2026-09-23(三) |
| 第 4 週 | Fokker--Planck Equations and Stochastic Calculus 2026-09-30(三) |
| 第 5 週 | Escape Processes and First-Passage Problems 2026-10-07(三) |
| 第 6 週 | Linear-Response Theory 2026-10-14(三) |
| 第 7 週 | Fluctuation--Dissipation Relations 2026-10-21(三) |
| 第 8 週 | Midterm Exam 2026-10-28(三) |
| 第 9 週 | Kinetic Theory and the Boltzmann Equation 2026-11-04(三) |
| 第 10 週 | Hydrodynamics and Conservation Laws 2026-11-11(三) |
| 第 11 週 | Nonequilibrium Steady States and Entropy Production 2026-11-18(三) |
| 第 12 週 | Stochastic Thermodynamics and Fluctuation Theorems 2026-11-25(三) |
| 第 13 週 | Field-Theoretic Methods 2026-12-02(三) |
| 第 14 週 | Nonequilibrium Phase Transitions 2026-12-09(三) |
| 第 15 週 | Quantum Nonequilibrium Statistical Physics 2026-12-16(三) |
| 第 16 週 | Final Exam 2026-12-23(三) |
John Cardy: Scaling and renormalization in statistical physics Nigel Goldenfeld: Lectures on Phase Transitions and the Renormalization Group Daniel Amit: Field Theory, the Renormalization Group and Critical Phenomena
- 地點
- 教師未提供此項資料
- 時間
- By appointment
- 聯絡方式
- kirchner@nycu.edu.tw