Author(s): Giovanni Gallavotti, Wolfgang L. Reiter, and Jakob Yngvason
Publisher: European Mathematical Society
Year: 2007
Language: English
Commentary: no
Pages: 286
Cover......Page 1
Ludwig Boltzmann (1844–1906......Page 3
Boltzmann’s Legacy......Page 4
ISBN 978-3-03719-057-9......Page 5
Foreword......Page 6
Contents......Page 8
Introduction by Giovanni Gallavotti......Page 10
Boltzmann and the end of the mechanistic worldview by Jürgen Renn......Page 16
What if Boltzmann had known about quantum mechanics by Elliott H. Lieb......Page 36
Entropy, nonequilibrium, chaos and infinitesimals by Giovanni Gallavotti......Page 48
From time-symmetric microscopic dynamics to time-asymmetric macroscopic behavior: an overview by Joel L. Lebowitz......Page 72
What physical quantities make sense in nonequilibrium statistical mechanics? by David Ruelle......Page 98
Boltzmann, ergodic theory, and chaos by Donald S. Ornstein......Page 108
134 years of Boltzmann equation
by Carlo Cercignani......Page 116
H-theorem and beyond: Boltzmann’s entropy in today’s mathematics by Cédric Villani......Page 138
On the Boltzmann equation for weakly nonlinear wave equations by Herbert Spohn......Page 154
Entropy, probability and dynamics by E. G. D. Cohen......Page 170
Realizing Boltzmann’s dream: computer simulations in modern statistical mechanics by Christoph Dellago and Harald A. Posch......Page 180
Statistical properties of the cluster dynamics of the systems of statistical mechanics by A. Gabrielov, V. Keilis-Borok,Ya. Sinai, and I. Zaliapin......Page 212
Boltzmann and evolution: some basic questions of biology seen with atomistic glasses
by Peter Schuster......Page 226
Ludwig Boltzmann – the restless prophet by Wolfgang L. Reiter......Page 252
Chronology......Page 270
List of contributors......Page 274
Name index......Page 276
Subject index......Page 280
Back Cover......Page 285
