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This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives - focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.
Political, social and economic transformations have marked the 20 years since Hong Kong became a Special Administrative Region of China. To mark the historic handover, the Institute of Advanced Studies (IAS) at Nanyang Technological University invited experts from various fields to share their unique insights on the developments and impact of the last 20 years on Hong Kong and Singapore in a conference in Singapore.This volume is a compilation of speeches and presentations delivered at the conference by such heavyweight experts as Wang Gungwu, Antony Leung and Yang Jinlin on the road travelled and the paths ahead for both cities. This volume is an invaluable collection on Hong Kong and Singapore's past, present and future. Readers can enjoy the salient analysis delivered with great thought and reflective humour.
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