Taking up statistical thermodynamics: Equilibrium fluctuations and irreversibility

Area of Science:

• Philosophy of Physics
• Statistical Mechanics
• Thermodynamics

Background:

• The reduction of macroscopic theories to more fundamental microscopic theories is a key concept in the philosophy of physics.
• The reduction of thermodynamics to statistical mechanics is a prominent case study, with debate on whether thermodynamics should be taken seriously if not reducible.

Purpose of the Study:

• To evaluate the proposal that statistical thermodynamics, incorporating probabilistic equilibrium fluctuations, provides a corrected version of classical thermodynamics reducible from statistical mechanics.
• To assess if this approach resolves the challenge of explaining macroscopic irreversibility from a microscopic viewpoint.

Main Methods:

• Analysis based on the Generalized Nagel-Schaffner model for reductive explanation.
• Evaluation of statistical thermodynamics as a revised macroscopic theory.

Main Results:

• Statistical thermodynamics allows for a redefinition of equilibrium consistent with Boltzmann entropy.
• However, this framework does not offer a complete explanation for macroscopic irreversibility when viewed from a microscopic level.

Conclusions:

• While statistical thermodynamics offers advancements in understanding equilibrium, it falls short of providing a definitive microscopic explanation for irreversibility.
• The reduction of thermodynamics to statistical mechanics remains an open philosophical and scientific challenge regarding irreversibility.