id author title date pages extension mime words sentences flesch summary cache txt work_4tw5blvylnhh7msvdt4jfqepg4 Roman Frigg Explaining Thermodynamic-Like Behavior in Terms of Epsilon-Ergodicity* 2011 25 .pdf application/pdf 11757 1030 64 proposal is true: gases behave thermodynamic-like if they are epsilon-ergodic, that is, ergodic on the phase space except for a small region of measure epsilon. that more realistic models of typical systems discussed in statistical mechanics will fail to be ergodic" (Sklar 1993, 172). First appearances notwithstanding, the KAM theorem does not establish that relevant systems in SM are not ergodic (and a fortiori it does irrelevant if the systems are not epsilon-ergodic for these energy values effect: these low energy values, to the best of our knowledge, never correspond to gases but to glasses or solids.22 And for larger energies, numerical evidence suggests that the motion is indeed epsilon-ergodic. The conclusion is that there are good reasons to believe that relevant systems are epsilon-ergodic. conclude, the evidence supports the claim that Lennard-Jones-type systems are epsilon-ergodic for the relevant energy values. reasons to believe that the relevant physical systems are epsilon-ergodic. ./cache/work_4tw5blvylnhh7msvdt4jfqepg4.pdf ./txt/work_4tw5blvylnhh7msvdt4jfqepg4.txt