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Nov 1, 2015 at 0:56 comment added N. Virgo Ah - now I get it. What you've written down is not $S[p_i]$ but $\partial S/\partial p_i$ with Lagrange multipliers. This is the MaxEnt approach to stat mech. Indeed I already know it, and the question is about its extension to systems in which there is time.
Nov 1, 2015 at 0:54 comment added N. Virgo Can you explain what the terms in this equation mean, and/or give some kind of reference for further reading? It looks rather odd at a first glance - is $p(x)$ the same as $p_i$? (In which case $\sum_i(p(x)-1)$ is zero.) Is $\langle E \rangle$ defined differently from $\sum_i p_i E_i$? (If not, why do both appear in the equation?)
Nov 1, 2015 at 0:08 review Late answers
Nov 1, 2015 at 1:49
Oct 31, 2015 at 23:53 review First posts
Nov 1, 2015 at 3:45
Oct 31, 2015 at 23:48 history answered Oscar Heath-Stephens CC BY-SA 3.0