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Equidistribution Of Dynamical Systems: Time-quantitative Second Law (Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications Book 7) Kindle Edition

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Management number 219449717 Release Date 2026/05/03 List Price $35.34 Model Number 219449717
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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 the famous 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. Read more

XRay Not Enabled
ISBN13 978-9811225574
Language English
File size 61.5 MB
Page Flip Enabled
Publisher World Scientific
Word Wise Not Enabled
Print length 400 pages
Accessibility Learn more
Screen Reader Supported
Part of series Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications
Publication date October 5, 2020
Enhanced typesetting Enabled

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