Boltzmann’s Legacy
Editors
Giovanni Gallavotti
Università di Roma “La Sapienza”, ItalyWolfgang L. Reiter
University of Vienna, AustriaJakob Yngvason
University of Vienna, Austria
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pp. v–vi ForewordGiovanni GallavottiWolfgang L. ReiterJakob Yngvason
pp. vii–viii Contentspp. 1–6 IntroductionGiovanni Gallavotti
pp. 7–25 Boltzmann and the end of the mechanistic worldviewJürgen Renn
pp. 27–36 What if Boltzmann had known about quantum mechanicsElliott H. Lieb
pp. 39–60 Entropy, nonequilibrium, chaos and infinitesimalsGiovanni Gallavotti
pp. 63–87 From time-symmetric microscopic dynamics to time-asymmetric macroscopic behavior: an overviewJoel L. Lebowitz
pp. 89–97 What physical quantities make sense in nonequilibrium statistical mechanics?David Ruelle
pp. 99–104 Boltzmann, ergodic theory, and chaosDonald S. Ornstein
pp. 107–127 134 years of Boltzmann equationCarlo Cercignani
pp. 129–143 -theorem and beyond: Boltzmann's entropy in today's mathematicsCédric Villani
pp. 145–159 On the Boltzmann equation for weakly nonlinear wave equationsHerbert Spohn
pp. 161–170 Entropy, probability and dynamicsE.G.D. Cohen
pp. 171–201 Realizing Boltzmann's dream: computer simulations in modern statistical mechanicsChristoph DellagoHarald A. Posch
pp. 203–215 Statistical properties of the cluster dynamics of the systems of statistical mechanicsAndrei GabrielovVladimir Keilis-BorokYakov G. SinaiIlya Zaliapin
pp. 217–241 Boltzmann and evolution: some basic questions of biology seen with atomistic glassesPeter Schuster
pp. 243–260 Ludwig Boltzmann – the restless prophetWolfgang L. Reiter