<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Communications in Applied and Industrial Mathematics

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The Wigner transport equation can be solved stochastically by Monte Carlo techniques based on the theory of piecewise deterministic Markov processes. A new...

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

Published Online: Feb 05, 2019

Page range: 20 - 30

Received: Oct 26, 2018

Accepted: Jan 23, 2019

DOI: https://doi.org/10.2478/caim-2019-0009

Keywords
Nanostructures, Wigner transport equation, Direct simulation Monte Carlo

© 2019 Orazio Muscato, Vincenza Di Stefano, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Feb 05, 2019

Page range: 20 - 30

Received: Oct 26, 2018

Accepted: Jan 23, 2019

DOI: https://doi.org/10.2478/caim-2019-0009

KeywordsNanostructures, Wigner transport equation, Direct simulation Monte Carlo

© 2019 Orazio Muscato, Vincenza Di Stefano, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Nanostructures, Wigner transport equation, Direct simulation Monte Carlo