1.

Record Nr.

UNINA9910151933903321

Titolo

Boltzmann's Legacy [[electronic resource] /] / Giovanni Gallavotti, Wolfgang L. Reiter, Jakob Yngvason

Pubbl/distr/stampa

Zuerich, Switzerland, : European Mathematical Society Publishing House, 2008

ISBN

3-03719-557-6

Descrizione fisica

1 online resource (284 pages)

Collana

ESI Lectures in Mathematics and Physics (ESI)

Classificazione

01-xx82-xx

Soggetti

Statistical physics

History and biography

Statistical mechanics, structure of matter

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction / Giovanni Gallavotti -- Boltzmann and the end of the mechanistic worldview / Jürgen Renn -- What if Boltzmann had known about quantum mechanics / Elliott H. Lieb -- Entropy, nonequilibrium, chaos and infinitesimals / Giovanni Gallavotti -- From time-symmetric microscopic dynamics to time-asymmetric macroscopic behavior: an overview / Joel L. Lebowitz -- What physical quantities make sense in nonequilibrium statistical mechanics? / David Ruelle -- Boltzmann, ergodic theory, and chaos / Donald S. Ornstein -- 134 years of Boltzmann equation / Carlo Cercignani -- H-theorem and beyond: Boltzmann's entropy in today's mathematics / Cédric Villani -- On the Boltzmann equation for weakly nonlinear wave equations / Herbert Spohn -- Entropy, probability and dynamics / E.G.D. Cohen -- Realizing Boltzmann's dream: computer simulations in modern statistical mechanics / Christoph Dellago, Harald A. Posch -- Statistical properties of the cluster dynamics of the systems of statistical mechanics / Andrei Gabrielov, Vladimir Keilis-Borok, Yakov G. Sinai, Ilya Zaliapin -- Boltzmann and evolution: some basic questions of biology seen with atomistic glasses / Peter Schuster -- Ludwig Boltzmann - the restless prophet / Wolfgang L. Reiter.

Sommario/riassunto

Ludwig 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 Schrödinger 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.