Modified Thermodynamics as an Approach to the Description of some Universal Properties of "Nearly Perfect Fluids"

Physics – Condensed Matter – Statistical Mechanics

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Scientific paper

We show that the quantum statistical mechanics describing quantum and thermal properties of objects has only the sense of a particular semiclassical approximation. We propose a more general (than that theory) microdescription of objects in a heat bath taking a vacuum into account as an object environment; we call it $(\hbar,k)-$dynamics ($\hbar kD)$. We introduce a new generative operator, a Schr\"odingerian or a stochastic action operator, and will show its fundamental role in the determination of such macroquantities as internal energy, effective temperature, and effective entropy. We establish that $\hbar kD$ can serve as an initial microtheory for constructing a modified thermodynamics. On this ground, we can explain the universality of the ratio "effective action to effective entropy" at zero temperature and its minimal value in the form $\hbar/2k$. This result corresponds to experimental data obtained recently under studying a new matter state - a nearly perfect fluid.

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