BooksesiCollected Volume

Boltzmann’s Legacy

Editors

Giovanni Gallavotti
Università di Roma “La Sapienza”, Italy
Wolfgang L. Reiter
University of Vienna, Austria
Jakob Yngvason
University of Vienna, Austria

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pp. 1–6
Introduction
Giovanni Gallavotti
pp. 7–25
Boltzmann and the end of the mechanistic worldview
Jürgen Renn
pp. 27–36
What if Boltzmann had known about quantum mechanics
Elliott H. Lieb
pp. 39–60
Entropy, nonequilibrium, chaos and infinitesimals
Giovanni Gallavotti
pp. 63–87
From time-symmetric microscopic dynamics to time-asymmetric macroscopic behavior: an overview
Joel L. Lebowitz
pp. 89–97
What physical quantities make sense in nonequilibrium statistical mechanics?
David Ruelle
pp. 99–104
Boltzmann, ergodic theory, and chaos
Donald S. Ornstein
pp. 107–127
134 years of Boltzmann equation
Carlo Cercignani
pp. 129–143
<var>H</var>-theorem and beyond: Boltzmann's entropy in today's mathematics
Cédric Villani
pp. 145–159
On the Boltzmann equation for weakly nonlinear wave equations
Herbert Spohn
pp. 161–170
Entropy, probability and dynamics
E.G.D. Cohen
pp. 171–201
Realizing Boltzmann's dream: computer simulations in modern statistical mechanics
Christoph DellagoHarald A. Posch
pp. 203–215
Statistical properties of the cluster dynamics of the systems of statistical mechanics
Andrei GabrielovVladimir Keilis-BorokYakov G. SinaiIlya Zaliapin
pp. 217–241
Boltzmann and evolution: some basic questions of biology seen with atomistic glasses
Peter Schuster
pp. 243–260
Ludwig Boltzmann – the restless prophet
Wolfgang L. Reiter