<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The Wigner equation represents a promising model for the simulation of electronic nanodevices, which allows the comprehension and prediction of quantum mechanical phenomena in terms of quasi-distribution functions. During these years, a Monte Carlo technique for the solution of this kinetic equation has been developed, based on the generation and annihilation of signed particles. This technique can be deeply understood in terms of the theory of pure jump processes with a general state space, producing a class of stochastic algorithms. One of these algorithms has been validated successfully by numerical experiments on a benchmark test case.</p></abstract>

The Wigner equation represents a promising model for the simulation of electronic nanodevices, which allows the comprehension and prediction of quantum mechanical phenomena in terms of quasi-distribution functions. During these years, a Monte Carlo technique for the solution of this kinetic equation has been developed, based on the generation and annihilation of signed particles. This technique can be deeply understood in terms of the theory of pure jump processes with a general state space, producing a class of stochastic algorithms. One of these algorithms has been validated successfully by numerical experiments on a benchmark test case.

A benchmark study of the Signed-particle Monte Carlo algorithm for the Wigner equation

Communications in Applied and Industrial Mathematics

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

The Wigner equation represents a promising model for the simulation of electronic nanodevices, which allows the comprehension and prediction of quantum...

A benchmark study of the Signed-particle Monte Carlo algorithm for the Wigner equation

Published Online: Dec 22, 2017

Page range: 237 - 250

Received: Dec 09, 2016

Accepted: Oct 12, 2017

DOI: https://doi.org/10.1515/caim-2017-0012

Keywords
Nanostructures, Wigner transport equation, Direct simulation Monte Carlo

© 2017

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

A benchmark study of the Signed-particle Monte Carlo algorithm for the Wigner equation

Published Online: Dec 22, 2017

Page range: 237 - 250

Received: Dec 09, 2016

Accepted: Oct 12, 2017

DOI: https://doi.org/10.1515/caim-2017-0012

KeywordsNanostructures, Wigner transport equation, Direct simulation Monte Carlo

© 2017

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

Keywords
Nanostructures, Wigner transport equation, Direct simulation Monte Carlo