The box-occupancy distributions arising from weighted rearrangements of a particle system are investigated. In the grand-canonical ensemble, they are characterized by determinantal joint probability generating functions. For doubly non-negative weight matrices, fractional occupancy statistics, generalizing Fermi-Dirac and Bose-Einstein statistics, can be defined. A spatially extended version of...

We derive Bose-Einstein statistics and Fermi-Dirac statistics by Principle of Maximum Entropy applied to two families of entropy functions different from the Boltzmann-Gibbs-Shannon entropy. These entropy functions are identified with special cases of modified Naudts’ φ-entropy. In a pioneering work sixty years ago, Jaynes [4] initiated the study of statistical physics by information theory. He...

We demonstrate a dynamic surface plasmonic modulation based on graphene-nanowire (grapheme-NW) hybrid structures in the visible light range. A static modulation depth of as high as 0.07 dB/μm has been achieved experimentally. Through careful simulation and systematical experimental investigation, we found that the dual-confinement effect of charge density and electromagnetic energy around the v...

We present in this document some essential properties of solutions to the homogeneous Landau-Fermi-Dirac equation for moderately soft potentials. Uniform time estimates statistical moments, $L^{p}$-norm generation and Sobolev regularity are shown using a combination techniques that include recent developments concerning level set analysis spirit De Giorgi refined entropy-entropy dissipation fun...

Abstract We consider the third quantization in quantum cosmology of a minisuperspace extended by Eisenhart–Duval lift. study based on both Klein–Gordon type and Dirac-type equations minisuperspace. Spontaneous creation ‘Universes’ is investigated upon simple model. find that wave function reveals number density universes expressed Fermi–Dirac distribution. also calculate entanglement entropy mu...

The origin of nonreciprocal phonon dichroism, that is, the Fermi pocket anisotropy, in magnetic two-dimensional Dirac materials is revealed. Two possible ways to obtain nonreciprocity are proposed.

We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in L ∞ loc near the event horizon with L 2 decay at infinity, the probability o...

We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise in Chandrasekhar's separation of variables. It is proved that for initial data in L ∞ loc near the event horizon with L 2 decay at infinity, the probability o...