Does temperature fluctuate? The fluctuation-dissipation theorem considered as an equation describing quantum mechanical experiments, and application to the dynamic glass transition

摘要

In an earlier Letter to the Editor (Donth E, Hempel E and Schick C 2000 J. Phys.: Condens, Matter. 12L281) it was shown that the characteristic length of the dynamic glass transition in confined geometries favours the von Laue approach to thermodynamics over the Gibbs approach. In the present paper the two approaches are compared as regards their ability to describe temperature fluctuations and statistically independent nanometre subsystems representative for linear response of the whole sample. It is discussed why the dynamic glass transition can reflect properties of a quantum mechanical (qm) experiment (measurement process). The fluctuation-dissipation theorem (FDT) is interpreted as an equation describing a stationary succession of such experiments. The thermodynamics constructed from such an FDT is consistent with the second law: this law is inherent and the time arrow follows merely from the properties of the qm experiments. [References: 59]