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Some properties of the electron-electron collision operator in graphene are analyzed along with the evaluation of collision rate. Monte Carlo simulations complete the study and highlight the non-negligible role of the electron-electron…

数学物理 · 物理学 2023-01-03 Giovanni Nastasi , Vittorio Romano

The influence of electron-electron scattering on the distribution function and transport characteristics of intrinsic monolayer graphene is investigated via an ensemble Monte Carlo simulation. Due to the linear dispersion relation in the…

介观与纳米尺度物理 · 物理学 2010-05-18 X. Li , E. A. Barry , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

The efficient simulation of the mean value of a non-linear functional of the solution to a linear stochastic partial differential equation (SPDE) with additive Gaussian noise is considered. A Galerkin finite element method is employed along…

概率论 · 数学 2019-07-25 Andreas Petersson

The attempt to include the Pauli principle in the Monte Carlo method by acting also on the free flight step and not only at the end of each collision is investigated. The charge transport in suspended monolayer graphene is considered as…

介观与纳米尺度物理 · 物理学 2021-11-17 Marco Coco , Paolo Bordone , Lucio Demeio , Vittorio Romano

Here we present the derivation, description and results of a Monte Carlo-based algorithm for simulating inelastic scattering of photo-electrons when passing through some scattering medium, such as a gas atmosphere or a solid material. The…

计算物理 · 物理学 2021-01-06 Lukas Pielsticker , Robert Schlögl , Mark Greiner

We present a novel Monte Carlo algorithm which enhances equilibrization of low-temperature simulations and allows sampling of configurations over a large range of energies. The method is based on a non-Boltzmann probability weight factor…

凝聚态物理 · 物理学 2009-10-30 Ulrich H. E. Hansmann , Yuko Okamoto

An intrinsic electron injection model for linear band two-dimensional (2D) materials, like graphene, is presented and its coupling to a recently developed quantum time-dependent Monte Carlo simulator for electron devices, based on the use…

介观与纳米尺度物理 · 物理学 2019-04-17 Zhen Zhan , Xueheng Kuang , Enrique Colomés , Devashish Pandey , Shengjun Yuan , Xavier Oriols

Monte Carlo methods are now a definitively well established methods for studying the transport of charges in semiconductors. A lot of drawbacks are however present about the correct reconstruction of the distribution function, which has to…

介观与纳米尺度物理 · 物理学 2021-01-01 Marco Coco

We present a finite-temperature canonical-ensemble determinant quantum Monte Carlo algorithm that enforces an exact fermion number and enables stable simulations of correlated lattice fermions. We propose a stabilized QR update that reduces…

强关联电子 · 物理学 2026-01-21 Tu Hong , Kun Chen , Xiao Yan Xu

The density of electronic one-particle states in monolayer graphene is studied by performing the Hybrid Monte-Carlo simulations of the tight-binding model for electrons on the pi orbitals of carbon atoms which make up the graphene lattice.…

强关联电子 · 物理学 2013-07-01 P. V. Buividovich

We developed a Monte Carlo simulation method to calculate incoherent Thomson scattering spectra in high temperature plasmas. The basic idea is to treat the entire scattering process as the superposition of individual photon-electron…

等离子体物理 · 物理学 2026-01-13 Kentaro Sakai , Kentaro Tomita , Takeo Hoshi , Ryo Yasuhara

We discuss the Monte Carlo method of simulating lattice field theories as a means of studying the low-energy effective theory of graphene. We also report on simulational results obtained using the Metropolis and Hybrid Monte Carlo methods…

强关联电子 · 物理学 2009-04-21 Joaquín E. Drut , Timo A. Lähde

A simple Monte Carlo procedure is described for simulating the multiple scattering and absorption of electrons with the incident energy in the range 1-50 keV moving through a slab of uniformly distributed material of given atomic number,…

材料科学 · 物理学 2007-05-23 Nima Ghal-eh , Mohammad Farhad Rahimi , Mehrnoush Manouchehri

Several models for the Monte Carlo simulation of Compton scattering on electrons are quantitatively evaluated with respect to a large collection of experimental data retrieved from the literature. Some of these models are currently…

The classical Langevin Monte Carlo method looks for samples from a target distribution by descending the samples along the gradient of the target distribution. The method enjoys a fast convergence rate. However, the numerical cost is…

机器学习 · 统计学 2025-03-07 Zhiyan Ding , Qin Li

We report on the results of the first-principle numerical study of spontaneous breaking of chiral (sublattice) symmetry in suspended monolayer graphene due to electrostatic interaction, which takes into account the screening of Coulomb…

强关联电子 · 物理学 2015-06-15 M. V. Ulybyshev , P. V. Buividovich , M. I. Katsnelson , M. I. Polikarpov

We propose a Multi-level Monte Carlo technique to accelerate Monte Carlo sampling for approximation of properties of materials with random defects. The computational efficiency is investigated on test problems given by tight-binding models…

数值分析 · 数学 2016-11-30 Petr Plecháč , Erik von Schwerin

We introduce a Monte-Carlo algorithm for the simulation of charged particles moving in the continuum. Electrostatic interactions are not instantaneous as in conventional approaches, but are mediated by a constrained, diffusing electric…

软凝聚态物质 · 物理学 2009-11-10 Joerg Rottler , A. C. Maggs

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

凝聚态物理 · 物理学 2009-10-31 Claudia Filippi , David M. Ceperley

We present a Monte Carlo collisional scheme that models single Compton scattering between leptons and photons in particle-in-cell codes. The numerical implementation of Compton scattering can deal with macro-particles of different weights…

计算物理 · 物理学 2020-10-28 F. Del Gaudio , T. Grismayer , R. A. Fonseca , L. O. Silva
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