Entropy and Equilibrium States in Classical Statistical Mechanics.¶
Lanford, O. E. (1984). Entropy and Equilibrium States in Classical Statistical Mechanics. Journal of Statistical Physics, 34(5), 5-6.
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Primes¶
- Thermodynamic Equilibrium
- with the Helmholtz free energy F = U − TS minimized. Maximum-entropy variational principle — equilibrium is characterized by the absence of net fluxes and by detailed balance: transition rates between any two microstates satisfy R(i→j) P_i = R(j→i) P_j in equilibrium
This sourceRigorous mathematical treatment of approach to equilibrium in classical systems; establishes connection between microscopic dynamics (Liouville equation) and macroscopic equilibrium through time scales and coarse-graining; clarifies detailed balance as equilibrium signature.
- with the Helmholtz free energy F = U − TS minimized. Maximum-entropy variational principle — equilibrium is characterized by the absence of net fluxes and by detailed balance: transition rates between any two microstates satisfy R(i→j) P_i = R(j→i) P_j in equilibrium
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