Equidistribution of Dynamical Systems: Time-Quantitative Second Law: 7 - Rilegato

Beck, Jozsef

 
9789811225550: Equidistribution of Dynamical Systems: Time-Quantitative Second Law: 7
Rilegato
ISBN 10: 9811225559 ISBN 13: 9789811225550
Casa editrice: World Scientific Pub Co Inc, 2020

Sinossi

"We know very little about the time-evolution of many-particle dynamical systems, the subject of our book. Even the 3-body problem has no explicit solution (we cannot solve the corresponding system of differential equations, and computer simulation indicates hopelessly chaotic behaviour). For example, what can we say about the typical time evolution of a large system starting from a stage far from equilibrium? What happens in a realistic time scale? The reader's first reaction is probably: What about thefamous Second Law (of thermodynamics)? Unfortunately, there are plenty of notorious mathematical problems surrounding the Second Law. (1) How to rigorously define entropy? How to convert the well known intuitions (like "disorder" and "energy spreading") into precise mathematical definitions? (2) How to express the Second Law in forms of a rigorous mathematical theorem? (3) The Second Law is a "soft" qualitative statement about entropy increase, but does not say anything about the necessary time to reach equilibrium. The object of this book is to answer questions (1)-(2)-(3). We rigorously prove a Time-Quantitative Second Law that works on a realistic time scale. As a by product, we clarify the Loschmidt-paradox and the related reversibility/irreversibility paradox"--

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2020
Lingua
Inglese
ISBN 10 
9811225559
ISBN 13 
9789811225550
Rilegatura
Copertina rigida
Numero di pagine
421
Contatto del produttore
non disponibile
Persona responsabile
non disponibile