Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier

Orazio Muscato; Vincenza Di Stefano

doi:10.2478/caim-2019-0009

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Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier

Communications in Applied and Industrial Mathematics

Volume 10 (2019): Issue 1 (February 2019)

By: Orazio Muscato and Vincenza Di Stefano

Open Access

|Feb 2019

Abstract

The Wigner transport equation can be solved stochastically by Monte Carlo techniques based on the theory of piecewise deterministic Markov processes. A new stochastic algorithm, without time discretization error, has been implemented and studied in the case of the quantum transport through a rectangular potential barrier.

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Articles in this issue

DOI: https://doi.org/10.2478/caim-2019-0009 | Journal eISSN: 2038-0909

Journal RSS Feed

Language: English

Page range: 20 - 30

Submitted on: Oct 26, 2018

Accepted on: Jan 23, 2019

Published on: Feb 5, 2019

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Nanostructures,

Wigner transport equation,

Direct simulation Monte Carlo

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2019 Orazio Muscato, Vincenza Di Stefano, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 10 (2019): Issue 1 (February 2019)