EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND LAW (Fractals and Dynamics in Mathematics, Science, and the Arts:)

Jozsef Beck

ISBN 10: 9811225559 / ISBN 13: 9789811225550

Verlag: World Scientific Publishing Company, 2020

Beschreibung

Bestandsnummer des Verkäufers I-9789811225550

Bibliografische Details

• Titel: EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND LAW (Fractals and Dynamics in Mathematics, Science, and the Arts:)
• Verlag: World Scientific Publishing Company
• Erscheinungsjahr: 2020
• Sprache: Englisch
• ISBN-10: 9811225559
• ISBN-13: 9789811225550
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.