(Ir)reversibility and entropy

Autor: Cédric Villani
Rok vydání: 2022
Předmět:
Zdroj: Time ISBN: 9783034803588
Nonlinear Partial Differential Equations ISBN: 9783642253607
DOI: 10.1142/9789811259401_0016
Popis: In the 1860’s emerges a revolutionary idea: many properties of the world around us can be explained by combining the atomistic hypothesis with the statistical theory. Some of the great scientific conquests from this time are the Boltzmann equation, which triggers one of the first qualitative studies of a complicated nonlinear partial differential equation; the notion of statistical entropy, which would later be fundamental in other areas of physics and mathematics, including information theory; and the notion of macroscopic irreversibility emerging from microscopically reversible laws. Thus the basic rules of statistical physics were set until Boltzmann’s irreversibility paradigm was shaken by Landau’s discovery of the Landau damping effect, about 80 years later, which opened the idea that equilibration is compatible with preservation of information, and led to a number of problems concerning the statistical theory of matter.
Databáze: OpenAIRE