Many Faces of Entropy or Bayesian Statistical Mechanics

Many faces of entropy or Bayesian statistical mechanics.

Some 80-90 years ago, George A. Linhart, unlike A. Einstein, P. Debye, M. Planck and W. Nernst, managed to derive a very simple, but ultimately general mathematical formula for heat capacity versus temperature from fundamental thermodynamic principles, using what we would nowadays dub a "Bayesian approach to probability". Moreover, he successfully applied his result to fit the experimental data...

Thermodynamics, Statistical Mechanics and Entropy

The proper definition of thermodynamics and the thermodynamic entropy is discussed in the light of recent developments. The postulates for thermodynamics are examined critically, and some modifications are suggested to allow for the inclusion of long-range forces (within a system), inhomogeneous systems with non-extensive entropy, and systems that can have negative temperatures. Only the thermo...

Statistical Mechanics: Entropy, Order Parameters, and Complexity

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Black hole entropy: statistical mechanics agrees thermodynamics

We discuss the connection between different entropies introduced for black hole. It is demonstrated on the two-dimensional example that the (quantum) thermodynamical entropy of a hole coincides (including UV-finite terms) with its statisticalmechanical entropy calculated according to ’t Hooft and regularized by Pauli-Villars. PACS number(s): 04.60.+n, 12.25.+e, 97.60.Lf, 11.10.Gh ∗ e-mail: serg...

Bayesian Statistical Mechanics: Entropy-Enthalpy Compensation and Universal Equation of State at the Tip of Pen