On the Properties of Monocyclic Systems, and others related to them
Ludwig Boltzmann (translated, with comments by Kim A. Sharp and, Franz Matschinsky)
TL;DR
This paper translates Boltzmann's foundational 1884-1885 work on statistical mechanics, introducing key concepts like ensembles and ergodicity that underpin modern statistical physics.
Contribution
It provides an English translation of Boltzmann's original paper, clarifying the origins of core concepts in statistical mechanics.
Findings
Introduction of the statistical ensemble concept
Definition of ergodic systems and ergodicity
Historical clarification of foundational ideas
Abstract
Translation of Ludwig Boltzmann's paper "\"Uber die Eigenschaften monozyklischer und anderer damit verwandter Systeme" Crelles Journal 98. S. 68-94. 1884 u. 1885 from German into English. In this foundational paper Boltzmann introduced two key concepts into statistical mechanics. The first is the statistical ensemble. This includes what are now known as the micro-canonical and canonical ensembles, albeit under different names. The second is the concept of ergodic systems, or ergodicity, which has played an important if contentious part in the foundations of statistical mechanics.
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Taxonomy
TopicsGraph theory and applications