{"product_id":"an-introduction-to-chaos-in-nonequilibrium-statistical-mechanics-paperback-9780521655897","title":"An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Paperback) 9780521655897","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Chaos in Nonequilibrium Statistical Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIntroduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. R. Dorfman (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521655897, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 August 1999\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e304 pages\u003cbr\u003e22.9 x 15.3 x 1.7 cm, 0.505 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book presents a beautiful and detailed introduction to the major ideas behind modern developments in (classical) nonequilibrium statistical mechanics. … a very valuable, enjoyable, and useful book to be highly recommended to any student or professional in the field of statistical mechanics at large.' SIAM Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book is an introduction to the applications in nonequilibrium statistical mechanics of chaotic dynamics, and also to the use of techniques in statistical mechanics important for an understanding of the chaotic behaviour of fluid systems. The fundamental concepts of dynamical systems theory are reviewed and simple examples are given. Advanced topics including SRB and Gibbs measures, unstable periodic orbit expansions, and applications to billiard-ball systems, are then explained. The text emphasises the connections between transport coefficients, needed to describe macroscopic properties of fluid flows, and quantities, such as Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the microscopic, chaotic behaviour of the fluid. Later chapters consider the roles of the expanding and contracting manifolds of hyperbolic dynamical systems and the large number of particles in macroscopic systems. Exercises, detailed references and suggestions for further reading are included.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Non-equilibrium statistical mechanics\u003cbr\u003e 2. The Boltzmann equation\u003cbr\u003e 3. Liouville's equation\u003cbr\u003e 4. Poincaré recurrence theorem\u003cbr\u003e 5. Boltzmann's ergodic hypothesis\u003cbr\u003e 6. Gibbs' picture-mixing systems\u003cbr\u003e 7. The Green-Kubo formulae\u003cbr\u003e 8. The Baker's transformation\u003cbr\u003e 9. Lyapunov exponents for a map\u003cbr\u003e 10. The Baker's transformation is ergodic\u003cbr\u003e 11. Kolmogorov-Sinai entropy\u003cbr\u003e 12. The Frobenius-Perron equation\u003cbr\u003e 13. Open systems and escape-rates\u003cbr\u003e 14. Transport coefficients and chaos\u003cbr\u003e 15. SRB and Gibbs measures\u003cbr\u003e 16. Fractal forms in Green-Kubo relations\u003cbr\u003e 17. Unstable periodic orbits\u003cbr\u003e 18. Lorentz lattice gases\u003cbr\u003e 19. Dynamical foundations of the Boltzmann equation\u003cbr\u003e 20. The Boltzmann equation returns\u003cbr\u003e 21. What's next\u003cbr\u003e Appendices\u003cbr\u003e Bibliography.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46251983175960,"sku":"9780521655897","price":55.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521655897i.jpg?v=1691927817","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-chaos-in-nonequilibrium-statistical-mechanics-paperback-9780521655897","provider":"Freshly Printed Books","version":"1.0","type":"link"}