Epsilon-ergodicity and the success of equilibrium statistical mechanics

Philosophy of Science 65 (4):688-708 (1998)
Download Edit this record How to cite View on PhilPapers
Abstract
Why does classical equilibrium statistical mechanics work? Malament and Zabell (1980) noticed that, for ergodic dynamical systems, the unique absolutely continuous invariant probability measure is the microcanonical. Earman and Rédei (1996) replied that systems of interest are very probably not ergodic, so that absolutely continuous invariant probability measures very distant from the microcanonical exist. In response I define the generalized properties of epsilon-ergodicity and epsilon-continuity, I review computational evidence indicating that systems of interest are epsilon-ergodic, I adapt Malament and Zabell’s defense of absolute continuity to support epsilon-continuity, and I prove that, for epsilon-ergodic systems, every epsilon-continuous invariant probability measure is very close to the microcanonical.
Keywords
No keywords specified (fix it)
PhilPapers/Archive ID
VRAEAT
Revision history
Archival date: 2015-11-21
View upload history
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Demystifying Typicality.Frigg, Roman & Werndl, Charlotte

View all 26 citations / Add more citations

Added to PP index
2009-01-28

Total views
828 ( #2,989 of 43,789 )

Recent downloads (6 months)
73 ( #8,450 of 43,789 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.