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The effective diffusion of Brownian particles in periodic potential has been a central topic in nonequilibrium statistical physcis. A classical result is the Lifson formula which provides the effective diffusion constant in periodic…

Statistical Mechanics · Physics 2026-01-22 Sang Yang , Zhixin Peng

Unbalanced probability circulation, which yields cyclic motions in phase space, is the defining characteristics of a stationary diffusion process without detailed balance. In over-damped soft matter systems, such behavior is a hallmark of…

Mathematical Physics · Physics 2015-09-22 Hong Qian

Steady-state thermal transport in nanostructures with dimensions comparable to the phonon mean-free-path is examined. Both the case of contacts at different temperatures with no internal heat generation and contacts at the same temperature…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Jan Kaiser , Tianli Feng , Jesse Maassen , Xufeng Wang , Xiulin Ruan , Mark Lundstrom

We study a two-dimensional motion of a charged particle in a weak random potential and a perpendicular magnetic field. The correlation length of the potential is assumed to be much larger than the de Broglie wavelength. Under such…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. M. Fogler , A. Yu. Dobin , V. I. Perel , B. I. Shklovskii

In charged fluids obeying particle-hole symmetry, such as the Dirac fluid in graphene, charge transport is diffusive despite the presence of ballistically propagating sound waves: sound waves "hydrodynamically decouple" from the slower…

Statistical Mechanics · Physics 2026-01-30 Ewan McCulloch , Romain Vasseur , Sarang Gopalakrishnan

Starting from the recently proposed energy-based deviational formulation for solving the Boltzmann equation [J.-P. Peraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 2011], which provides significant computational speedup compared to…

Computational Physics · Physics 2015-06-05 Jean-Philippe Peraud , Nicolas Hadjiconstantinou

We present a theory of the phonon-assisted nonlinear dc transport of 2D electrons in high Landau levels. The nonlinear dissipative resistivity displays quantum magneto-oscillations governed by two parameters which are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2011-03-09 I. A. Dmitriev , R. Gellmann , M. G. Vavilov

Quantum energy transfer in a chain of two-level (spin) units, connected at its ends to two thermal reservoirs, is analyzed in two limits: (i) In the off-resonance regime, when the characteristic subsystem excitation energy gaps are larger…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Claire X. Yu , Lian-Ao Wu , Dvira Segal

The effect of electron-phonon scattering processes over the thermoelectric properties of extrinsic graphene was studied. Electrical and thermal resistivity, as well as the thermopower, were calculated within the Bloch theory approximations.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Enrique Muñoz

We measure the oscillations of a standing wave of phonons in a Bose-Einstein condensate, thus obtaining the dispersion relation. We present the technique of short Bragg pulses, which stimulates the standing wave. The subsequent oscillations…

Quantum Gases · Physics 2012-12-18 I. Shammass , S. Rinott , A. Berkovitz , R. Schley , J. Steinhauer

Poisson-Boltzmann theory allows one to study soft matter and biophysical systems involving point-like charges of low valencies. The inclusion of fluctuation corrections beyond the mean-field approach typically requires the application of…

Soft Condensed Matter · Physics 2018-04-30 R. Blossey , A. C. Maggs

We continue our study of solitons in noncommutative gauge theories and present an extremely simple BPS solution of N=4 U(1) noncommutative gauge theory in 4 dimensions, which describes N infinite D1 strings that pierce a D3 brane at various…

High Energy Physics - Theory · Physics 2009-10-31 David J. Gross , Nikita A. Nekrasov

We investigated ultrafast carrier dynamics in graphene with near-infrared transient absorption measurement after intense half-cycle terahertz pulse excitation. The terahertz electric field efficiently drives the carriers, inducing large…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 Shuntaro Tani , François Blanchard , Koichiro Tanaka

Turbulence and magnetic fields are components of the interstellar medium and are interconnected through plasma processes. In particular, the magnetic flux transport in the presence of magneto-hydrodynamic (MHD) turbulence is an essential…

High Energy Astrophysical Phenomena · Physics 2025-07-30 C. N. Koshikumo , R. Santos-Lima , M. V. del Valle , E. M. de Gouveia Dal Pino , G. Guerrero , A. Lazarian

The linear Boltzmann equation for elastic and/or inelastic scattering is applied to derive the distribution function of a spatially homogeneous system of charged particles spreading in a host medium of two-level atoms and subjected to…

Statistical Mechanics · Physics 2009-11-13 A. Rossani , A. M. Scarfone

We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron transport in an ultra-scaled confined structure, taking in…

Analysis of PDEs · Mathematics 2011-05-19 Jourdana Clément , Nicolas Vauchelet

The phonon Boltzmann transport equation (BTE) is widely utilized to study non-diffusive thermal transport. We find a solution of the BTE in the thin film transient thermal grating (TTG) experimental geometry by using a recently developed…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

We derive the Ginzburg-Landau-Wilson theory for the superconducting phase transition in two dimensions and in the magnetic field. Without disorder the theory describes a fluctuation induced first-order quantum phase transition into the…

Superconductivity · Physics 2009-11-07 W. C. Wu , Igor F. Herbut

Diffusion theory establishes a fundamental connection between stochastic differential equations and partial differential equations. The solution of a partial differential equation known as the Fokker-Planck equation describes the…

Probability · Mathematics 2025-10-24 Carlos Escudero , Helder Rojas

An efficient $\lambda/2$-method ($\lambda$ is the resonant wavelength of laser radiation) based on nanometric-thickness cell filled with rubidium is implemented to study the splitting of hyperfine transitions of $^{85}$Rb and $^{87}$Rb…

Atomic Physics · Physics 2015-06-19 A. Sargsyan , A. Tonoyan , G. Hakhumyan , C. Leroy , Y. Pashayan-Leroy , D. Sarkisyan
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