Statistical Mechanics

A Study of Na/K Feldspar Solid Solution Using Statistical Mechanics

Thermal behavior of various solid feldspars are different, namely those of bivalent cations show no change in the distribution of Al and Si atoms, whereas feldspars of univalent cations become more disordered with raising temperature. In the latter case Al atoms migrate from the sites they occupe at low temperatures and interchange positions with the Si atoms. At high temperatures (but stil...

Quantum Mechanics_ Quantum statistical mechanics

Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. In quantum mechanics a statistical ensemble (probability distribution over possiblequantum states) is described by a density operatorS, which is a nonnegative, self-adjoint, trace-classoperator of trace 1 on the Hilbert space Hdescribing the quantum system. This can be shown under various mathematical ...

Entropic Functionals in Quantum Statistical Mechanics

We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.

Planck ’ s Legacy to Statistical Mechanics

In this talk I will describe the deep influence Planck had on the development of statistical mechanics. At this end I will first outline the theoretical situation of statistical mechanics before Planck. I will then describe his main contributions to this field and the progresses obtained as an immediate consequence of his work. I will also outline the later evolution of statistical mechanics in...

Time-Dependent Statistical Mechanics 6. Averages of time dependent quantities in classical statistical mechanics

Mathematical theory of non-equilibrium quantum statistical mechanics

We review and further develop a mathematical framework for non-equilibrium quantum statistical mechanics recently proposed in [JP4, JP5, JP6, Ru3, Ru4, Ru5, Ru6]. In the algebraic formalism of quantum statistical mechanics we introduce notions of non-equilibrium steady states, entropy production and heat fluxes, and study their properties. Our basic paradigm is a model of a small (finite) quant...