PUMA
Istituto di Biofisica     
Bianucci M., Mannella R., West B. J., Grigolini P. From dynamics to thermodynamics: Linear response and statistical mechanics. In: Physical Review E, vol. 51 (4) pp. 3002 - 3022. American Physical Society, 1995.
 
 
Abstract
(English)
We illustrate a dynamic approach to statistical mechanics based on a procedure which reverses the standard approach to the Fokker-Planck equation (FPE). Rather than using statistical mechanics, derived from thermodynamics along the lines pioneered by Boltzmann [L. Boltzmann, Wiss. Ber. 58, 517 (1868)], we derive a FPE for a set of variables of interest interacting with a booster, i.e., a dynamical system mimicking the action of an ideal thermostat with no need of ad hoc statistical assumptions. We derive a mechanical expression for the temperature of the system of interest, which is proven to be a generalization of the one proposed by Boltzmann; in the case of boosters with a limited number of degrees of freedom, it is shown that our definition depends also on dynamic properties, which are not accounted for by the ''standard'' approach.
DOI: 10.1103/PhysRevE.51.3002
Subject Dynamic
Thermodynamic
Linear response theory
Statistical mechanics


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