LEADER 03804nam 22004455a 450 001 9910151933903321 005 20091109150325.0 010 $a3-03719-557-6 024 70$a10.4171/057 035 $a(CKB)3710000000953836 035 $a(CH-001817-3)91-091109 035 $a(PPN)178155551 035 $a(EXLCZ)993710000000953836 100 $a20091109j20081022 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBoltzmann's Legacy$b[electronic resource] /$fGiovanni Gallavotti, Wolfgang L. Reiter, Jakob Yngvason 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008 215 $a1 online resource (284 pages) 225 0 $aESI Lectures in Mathematics and Physics (ESI) 327 $tIntroduction /$rGiovanni Gallavotti --$tBoltzmann and the end of the mechanistic worldview /$rJu?rgen Renn --$tWhat if Boltzmann had known about quantum mechanics /$rElliott H. Lieb --$tEntropy, nonequilibrium, chaos and infinitesimals /$rGiovanni Gallavotti --$tFrom time-symmetric microscopic dynamics to time-asymmetric macroscopic behavior: an overview /$rJoel L. Lebowitz --$tWhat physical quantities make sense in nonequilibrium statistical mechanics? /$rDavid Ruelle --$tBoltzmann, ergodic theory, and chaos /$rDonald S. Ornstein --$t134 years of Boltzmann equation /$rCarlo Cercignani --$tH-theorem and beyond: Boltzmann's entropy in today's mathematics /$rCe?dric Villani --$tOn the Boltzmann equation for weakly nonlinear wave equations /$rHerbert Spohn --$tEntropy, probability and dynamics /$rE.G.D. Cohen --$tRealizing Boltzmann's dream: computer simulations in modern statistical mechanics /$rChristoph Dellago, Harald A. Posch --$tStatistical properties of the cluster dynamics of the systems of statistical mechanics /$rAndrei Gabrielov, Vladimir Keilis-Borok, Yakov G. Sinai, Ilya Zaliapin --$tBoltzmann and evolution: some basic questions of biology seen with atomistic glasses /$rPeter Schuster --$tLudwig Boltzmann - the restless prophet /$rWolfgang L. Reiter. 330 $aLudwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium "Boltzmann's Legacy" was held at the Erwin Schro?dinger International Institute for Mathematical Physics in June 2006. This text covers a wide spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of present day's leading scholars in the field. The book addresses students and researchers in mathematics, physics and the history of science. 606 $aStatistical physics$2bicssc 606 $aHistory and biography$2msc 606 $aStatistical mechanics, structure of matter$2msc 615 07$aStatistical physics 615 07$aHistory and biography 615 07$aStatistical mechanics, structure of matter 686 $a01-xx$a82-xx$2msc 702 $aGallavotti$b Giovanni 702 $aReiter$b Wolfgang L. 702 $aYngvason$b Jakob 801 0$bch0018173 906 $aBOOK 912 $a9910151933903321 996 $aBoltzmann's Legacy$92564805 997 $aUNINA