Fully chaotic maps and broken time symmetry
 Responsibility
 by Dean J. Driebe.
 Language
 English.
 Imprint
 Dordrecht ; Boston : Kluwer Academic, c1999.
 Physical description
 x, 164 p. : ill., maps ; 25 cm.
 Series
 Nonlinear phenomena and complex systems ; v. 4.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

Q172.5 .C45 D75 1999  Unknown 
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Creators/Contributors
 Author/Creator
 Driebe, Dean J.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 1. Chaos and Irreversibility. 2. Statistical Mechanics of Maps. 3. The Bernoulli Map. 4. Other OneDimensional Maps. 5. Intrinsic Irreversibility. 6. Deterministic Diffusion. 7. Afterword. Appendices.
 (source: Nielsen Book Data)
 Publisher's Summary
 I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was initiated by the work of the great theoretical physicist Ludwig Boltzmann in the second half of the 19th century. Ludwig Boltzmann tried to emulate in physics what Charles Darwin had done in biology and to formulate an evolutionary approach in which past and future would play different roles. Boltzmann's work has lead to innumerable controversies as the laws of classical mechanics (as well as the laws of quan tum mechanics) as traditionally formulated imply symmetry between past and future. As is well known, Albert Einstein often stated that "Time is an illusion". Indeed, as long as dynamics is associated with trajectories satisfy ing the equations of classical mechanics, explaining irreversibility in terms of trajectories appears, as Henri Poincare concluded, as a logical error. After a long struggle, Boltzmann acknowledged his defeat and introduced a probabil ity description in which all microscopic states are supposed to have the same a priori probability. Irreversibility would then be due to the imperfection of our observations associated only with the "macroscopic" state described by temperature, pressure and other similar parameters. Irreversibility then appears devoid of any fundamental significance. However today this position has become untenable.
(source: Nielsen Book Data)  Supplemental links
 Table of contents
Subjects
Bibliographic information
 Publication date
 1999
 Series
 Nonlinear phenomena and complex systems ; v. 4
 ISBN
 0792355644 (hardbound : alk. paper)
 9780792355649 (hardbound : alk. paper)