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It is proposed two models describing transport and absorbtion processes that occur in nanoscale fragments of electrical circuits, pulled adsorbed molecules, atomic or molecular chains connecting electrodes. Discrete chain model of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. N. Evteev , M. V. Moiseenko , E. V. Zhuravel , E. Ya. Glushko

Building upon the success of optimal transport metrics defined for single collinear jets, we develop a multi-scale framework that models entire collider events as distributions on the manifold of their constituent jets, which are themselves…

High Energy Physics - Phenomenology · Physics 2025-07-10 Tianji Cai , Nathaniel Craig , Katy Craig , Xinyuan Lin

We prove compactness and hence existence for solutions to a class of non linear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which…

Analysis of PDEs · Mathematics 2011-08-22 Fethi Ben Belgacem , Pierre-Emmanuel Jabin

The circuit theory of mesoscopic transport provides a unified framework to describe spin-dependent or superconductivity-related phenomena. We extend this theory to hybrid systems of normal metals, ferromagnets and superconductors. Our main…

Superconductivity · Physics 2009-11-27 Daniel Huertas-Hernando , Yu. V. Nazarov , W. Belzig

Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger equation. In the time-dependent picture, the evolution of an initially localized…

Quantum Physics · Physics 2011-05-13 Tobias Kramer

We provide a new perturbation theorem for substochastic semigroups on abstract AL spaces extending Kato's perturbation theorem to non-densely defined operators. We show how it can be applied to piecewise deterministic Markov processes and…

Functional Analysis · Mathematics 2020-12-01 Marta Tyran-Kamińska

Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relaxation-time or mass- and spin-conserving matrix collision…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Ansgar Jüngel

We develop a general theory of non-equilibrium states based on the Keldysh formalism, in particular, for charged-particle systems under static uniform electromagnetic fields. The Dyson equation for the uniform stationary state is rewritten…

Statistical Mechanics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

A derivation is given of the Boltzmann-Vlasov equation beginning from multiple scattering considerations. The motivation for the discussion, which is purely pedagogical in nature, is the current interest in understanding the origins of…

Nuclear Theory · Physics 2014-07-17 J. M. Eisenberg

Using a so-called hemispherical model we derive a general transport equation for cosmic ray and thermal particles scattered in pitch angle by magnetic inhomogeneities in a moving collisionless plasma. The weak scattering through 90 degrees…

Astrophysics · Physics 2009-11-11 V. N. Zirakashvili

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2007-12-18 Didier Mayou , Guy Trambly De Laissardière

Starting from classical transport theory, we derive a set of covariant equations describing the dynamics of mean fields and their statistical fluctuations in a non-Abelian plasma in or out of equilibrium. A general procedure is detailed for…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel F. Litim , Cristina Manuel

The transfer-matrix methodology is used to solve linear systems of differential equations, such as those that arise when solving Schr\"odinger's equation, in situations where the solutions of interest are in the continuous part of the…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Alexandre Mayer

The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of unconventional metals. When quasiparticles are…

Strongly Correlated Electrons · Physics 2018-01-10 Andrew Lucas , Sean A. Hartnoll

Motivated by realization of the dissipative quantum point contact in ultracold atomic gases, we investigate a two-terminal mesoscopic transport system in which a single-particle loss is locally present in a one-dimensional chain. By means…

Quantum Gases · Physics 2022-11-30 Shun Uchino

We use an adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures. This approach leads, in a…

Condensed Matter · Physics 2009-10-28 Carlo Presilla , Johannes Sjöstrand

We present a generalized approach for computing electron conductance and I-V characteristics in multiterminal junctions from first-principles. Within the framework of Keldysh theory, electron transmission is evaluated employing an O(N)…

Materials Science · Physics 2015-05-13 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

We study the evolution of the non-equilibrium quantum fields from a highly excited initial state in two approaches: the standard Keldysh-Schwinger diagram technique and the semiclassical expansion. We demonstrate explicitly that these two…

High Energy Physics - Phenomenology · Physics 2021-09-01 A. A. Radovskaya , A. G. Semenov

We discuss the steady-state electronic transport in solid-state and molecular devices in the quantum regime. The decimation technique allows a comprehensive description of the electronic structure. Such a method is used, in conjunction with…

Mesoscale and Nanoscale Physics · Physics 2008-03-26 Horacio M. Pastawski , Ernesto Medina

Multinucleon transfer mechanism in collision of ${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$ system is investigated in the framework of quantal transport description, based on the stochastic mean-field (SMF) theory. The SMF theory provides a…

Nuclear Theory · Physics 2023-08-02 S. Ayik , M. Arik , E. Erbayri , O. Yilmaz , A. S. Umar
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