title: Analytical description of the quantum-mesoscopic-classical transition in systems with quasidiscrete environments.
abstract: We investigate the dynamic properties of inhomogeneous nanomaterials, which appear in analytical descriptions typically as a series of δ functions with corresponding Gibbs weights. We focus on observables relevant for transport theories of Josephson junction arrays and granular systems near the superconductor-insulator transition. Furthermore, our description applies to the theory of tunnel junctions exchanging energy with a "bath," the latter having a discrete spectrum. Using the matrix θ-function formalism, we find an analytical expression for the transport characteristics capturing the complete temperature-driven transition from the quantum to the classical regime.
authors.affiliation: Institute for High Pressure Physics, Russian Academy of Sciences, Troitsk 142190, Moscow Region, Russia.
authors.forename: N M
authors.initials: NM
authors.lastname: Chtchelkatchev
authors.forename: A
authors.initials: A
authors.lastname: Glatz
mesh_terms: D000465:Algorithms; D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004735:Energy Transfer; D008956:Models, Chemical
chemical_list: D003102:Colloids