196 citations · 1.6k across the 143 of their papers we have counts for
18 papers · 1 filter
Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature
Alexander B. Watson, Jianfeng Lu, Michael I. Weinstein
We consider a model of an electron in a crystal moving under the influence of an external electric field: Schrödinger's equation with a potential which is the sum of a periodic fun…
Fractional stochastic differential equations satisfying fluctuation-dissipation theorem
Lei Li, Jian-Guo Liu, Jianfeng Lu
We propose in this work a fractional stochastic differential equation (FSDE) model consistent with the over-damped limit of the generalized Langevin equation model. As a result of…
A cubic scaling algorithm for excited states calculations in particle-particle random phase approximation
Jianfeng Lu, Haizhao Yang
The particle-particle random phase approximation (pp-RPA) has been shown to be capable of describing double, Rydberg, and charge transfer excitations, for which the conventional ti…
A Concurrent Global-local Numerical Method for Multiscale PDEs
Yufang Huang, Jianfeng Lu, Pingbing Ming
We present a new hybrid numerical method for multiscale partial differential equations, which simultaneously captures the global macroscopic information and resolves the local micr…
A Variation on the Donsker-Varadhan Inequality for the Principial Eigenvalue
Jianfeng Lu, Stefan Steinerberger
The purpose of this short note is to give a variation on the classical Donsker-Varadhan inequality, which bounds the first eigenvalue of a second-order elliptic operator on a bound…
Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime
Yuan Gao, Jian-Guo Liu, Jianfeng Lu
We study in this work a continuum model derived from 1D attachment-detachment-limited (ADL) type step flow on vicinal surface, , where , considered as a f…