These Lecture Notes provide an introduction to the theory of finite-dimensional dynamical systems.The first part presents the main classical results about continuous time dynamical systems with a finite number of degrees of freedom. Among the topics covered are: initial value problems, geometrical m
Mathematical Physics II: Classical Statistical Mechanics : Lecture Notes
β Scribed by Matteo Petrera
- Publisher
- Logos Verlag Berlin
- Year
- 2014
- Tongue
- English
- Leaves
- 176
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
These Lecture Notes provide an introduction to classical statistical mechanics. The first part presents classical results, mainly due to L. Boltzmann and J.W. Gibbs, about equilibrium statistical mechanics of continuous systems. Among the topics covered are: kinetic theory of gases, ergodic problem, Gibbsian formalism, derivation of thermodynamics, phase transitions and thermodynamic limit.The second part is devoted to an introduction to the study of classical spin systems with special emphasis on the Ising model.The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with concrete examples and exercises.
β¦ Subjects
Statistical mechanics-Textbooks.
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This is a summary of methods and results, rather than a systematic textbook
<p><span>Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present volume provide both an introduction to,