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Applying random matrix theory to quantum transport in chaotic cavities, we develop a novel approach to computation of the moments of the conductance and shot-noise (including their joint moments) of arbitrary order and at any number of open…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 B. A. Khoruzhenko , D. V. Savin , H. -J. Sommers

The paper considers a coupled system of linear Boltzmann transport equations (BTE), and its Continuous Slowing Down Approximation (CSDA). This system can be used to model the relevant transport of particles used e.g. in dose calculation in…

Optimization and Control · Mathematics 2018-04-06 J. Tervo , P. Kokkonen , M. Frank , M. Herty

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. The problem is…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

We consider collective excitations of a Fermi liquid. For each value of the angular momentum $l$, we study the evolution of longitudinal and transverse collective modes in the charge (c) and spin (s) channels with the Landau parameter…

Strongly Correlated Electrons · Physics 2019-12-04 Avraham Klein , Dmitrii L. Maslov , Lev P. Pitaevskii , Andrey V. Chubukov

The effect of coordination on transport is investigated theoretically using random networks of springs as model systems. An effective medium approximation is made to compute the density of states of the vibrational modes, their energy…

Soft Condensed Matter · Physics 2015-05-14 Matthieu Wyart

The classic problem of the dynamic evolution of Langmuir electron waves in a collisionless plasma and their Landau damping is cast as a second-order, self-adjoint problem with a continuum spectrum of real and positive squared frequencies.…

Plasma Physics · Physics 2018-04-04 Jesus J. Ramos , Ryan L. White

Directly computing mass transport coefficients in stochastic models requires integrating over time the equilibrium correlations between atomic displacements. Here, we show how to accelerate the computations via \green{correlation splitting…

Materials Science · Physics 2021-12-06 Manuel Athènes , Gilles Adjanor , Jérôme Creuze

A spatially-periodic longitudinal wave is considered in relativistic dissipative hydrodynamics. At sufficiently small wave amplitudes, an analytic solution is obtained in the linearised limit of the macroscopic conservation equations within…

Fluid Dynamics · Physics 2018-03-07 Victor E. Ambrus

We argue that one can model deviations from the ensemble average in non-equilibrium statistical mechanics by promoting the Boltzmann equation to an equation in terms of {\em functionals} , representing possible candidates for phase space…

Statistical Mechanics · Physics 2024-03-13 Giorgio Torrieri

Collisionless damping of electrical waves in plasma is investigated in the frame of the classical formulation of the problem. The new principle of regularization of the singular integral is used. The exact solution of the corresponding…

Statistical Mechanics · Physics 2008-08-01 Boris V. Alexeev

Starting from the tight-binding dielectric matrix in the random phase approximation we examine the collective modes and electron-hole excitations in a two-band electronic system. For long wavelengths (${\bf q}\rightarrow0$), for which most…

Condensed Matter · Physics 2009-10-28 P. Zupanovic , A. Bjelis , S. Barisic

The inelastic Boltzmann equation for a granular gas is applied to spatially inhomogeneous states close to the uniform shear flow. A normal solution is obtained via a Chapman-Enskog-like expansion around a local shear flow distribution. The…

Soft Condensed Matter · Physics 2009-11-11 Vicente Garzo

The collective motion of a finite nuclear system is investigated by numerical simulation and by linear response theory. Using a pseudo-particle simulation technique we analyze the giant resonances with a multipole decomposition scheme. We…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz , Uwe Fuhrmann , Rainer Walke

The kinetic equation of nonlocal and non-instantaneous character unifies the achievements of the transport in dense quantum gases with the Landau theory of quasiclassical transport in Fermi systems. Large cancellations in the off-shell…

Strongly Correlated Electrons · Physics 2018-05-25 K. Morawetz

Motivated by a recent finding of an exact solution of the relativistic Boltzmann equation in a Friedmann-Robertson-Walker spacetime, we implement this metric into the newly developed transport approach Simulating Many Accelerated…

High Energy Physics - Phenomenology · Physics 2017-06-09 J. Tindall , J. M. Torres-Rincon , J. B. Rose , H. Petersen

We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a…

Disordered Systems and Neural Networks · Physics 2021-09-09 Ipsita Mandal , Klaus Ziegler

A simple model for the nonlinear collective transport of interacting particles in a random medium with strong disorder is introduced and analyzed. A finite threshold for the driving force divides the behavior into two regimes characterized…

Condensed Matter · Physics 2009-10-28 Joe Watson , Daniel S. Fisher

A quantum theory of dispersion for an inhomogeneous solid is obtained, from a starting point of multipolar coupled atoms interacting with an electromagnetic field. The dispersion relations obtained are equivalent to the standard classical…

Quantum Physics · Physics 2009-10-31 P. D. Drummond , M. Hillery

A semiclassical method is used to study Landau damping of transverse pseudo-spin waves in harmonically trapped ultracold gases in the collisionless Boltzmann limit. In this approach, the time evolution of a spin is calculated numerically as…

Statistical Mechanics · Physics 2009-11-11 R. J. Ragan , W. J. Mullin , E. B. Wiita

A recent model for monodisperse granular suspensions is used to analyze transport properties in spatially inhomogeneous states close to the simple (or uniform) shear flow. The kinetic equation is based on the inelastic Boltzmann (for low…

Statistical Mechanics · Physics 2017-06-30 Vicente Garzó