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In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

A full implementation of the Boltzmann-Langevin equation for fermionic systems is introduced in a transport model for dissipative collisions among heavy nuclei. Fluctuations are injected in phase space and not, like in more conventional…

Nuclear Theory · Physics 2013-02-04 P. Napolitani , M. Colonna

We explore correlations of eigenstates around the many-body localization (MBL) transition in their dependence on the energy difference (frequency) $\omega$ and disorder $W$. In addition to the genuine many-body problem, XXZ spin chain in…

Disordered Systems and Neural Networks · Physics 2021-02-17 Konstantin S. Tikhonov , Alexander D. Mirlin

A many-body theory of molecular junction transport based on nonequilibrium Green's functions is developed, which treats coherent quantum effects and Coulomb interactions on an equal footing. The central quantity of the many-body theory is…

Mesoscale and Nanoscale Physics · Physics 2009-07-07 J. P. Bergfield , C. A. Stafford

Severe contradictions exist between experimental observations and computational predictions regarding natural convective thermal transport in nanosuspensions. The approach treating nanosuspensions as homogeneous fluids in computations has…

Fluid Dynamics · Physics 2015-11-17 Savithiri S , Purbarun Dhar , Arvind Pattamatta , Sarit K. Das

We present a theory for charge and heat transport parallel to the interfaces of a multilayer (ML) in which the interfacing gives rise the redistribution of the electronic charges. The ensuing electrical field couples self-consistently to…

Strongly Correlated Electrons · Physics 2018-01-03 Veljko Zlatić , J. K. Freericks

The mass flux of a low-density granular binary mixture obtained previously by solving the Boltzmann equation by means of the Chapman-Enskog method is considered further. As in the elastic case, the associated transport coefficients $D$,…

Statistical Mechanics · Physics 2013-06-27 Vicente Garzó , J. Aaron Murray , Francisco Vega Reyes

Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem…

Quantum Gases · Physics 2020-10-07 Filippo Stellin , Giuliano Orso

The Boltzmann equation for inelastic Maxwell models is used to determine the Navier-Stokes transport coefficients of a granular binary mixture in $d$ dimensions. The Chapman-Enskog method is applied to solve the Boltzmann equation for…

Statistical Mechanics · Physics 2015-06-24 Vicente Garzo , Antonio Astillero

We have studied the transport coefficients as a tool to probe the collision integral appeared in the Boltzmann equation. For this purpose, we have estimated the transport coefficients (momentum: \{$\eta$,$\zeta$\}, heat: \{$\kappa$\}, and…

High Energy Physics - Phenomenology · Physics 2022-11-30 Salman Ahamad Khan , Binoy Krishna Patra

We carry out a layer-by-layer investigation to understand electron transport across metal-insulator-metal junctions. Interfacial structures of junctions were studied and characterized using first-principles density functional theory within…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 Yun-Peng Wang , X. -G. Zhang , J. N. Fry , Hai-Ping Cheng

Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [Brey et al., Phys.…

Statistical Mechanics · Physics 2007-05-23 V. Garzo , A. Santos , J. M. Montanero

Based on the phonon Boltzmann transport equation under the relaxation time approximation, analytical expressions for the temperature profiles of both steady state and modulated heat conduction inside a thin film deposited on a substrate are…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Jose Ordonez-Miranda , Ronggui Yang , Sebastian Volz , J. J. Alvarado-Gil

The metal-insulator transition (MIT), which includes Anderson localization and Mott insulators as extreme regimes, has received renewed interest as the many-body effects often constitute a limitation for the handling of quantum…

Quantum Physics · Physics 2024-03-28 Fabricio S. Lozano-Negro , Pablo R. Zangara , Horacio M. Pastawski

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

Soft Condensed Matter · Physics 2025-11-07 Rubén Gómez González , Vicente Garzó

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

Strongly Correlated Electrons · Physics 2018-08-15 Andrea Marini , Yaroslav Pavlyukh

We use the Newns-Anderson Hamiltonian to describe many-body electronic processes that occur when hyperthermal alkali atoms scatter off metallic surfaces. Following Brako and Newns, we expand the electronic many-body wavefunction in the…

We study the electric and thermal transport of the Dirac carriers in monolayer graphene using the Boltzmann-equation approach. Motivated by recent thermopower measurements [F. Ghahari, H.-Y.~Xie, T. Taniguchi, K. Watanabe, M.~S.~Foster, and…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Hong-Yi Xie , Matthew S. Foster

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of…

Statistical Mechanics · Physics 2020-08-05 Marco Tarzia