Volume 23, Issue 4
Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles

Silvia Palpacelli & Sauro Succi

Commun. Comput. Phys., 23 (2018), pp. 899-909.

Published online: 2018-04

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  • Abstract

We present quantum Lattice Boltzmann simulations of the Dirac equation for quantum-relativistic particles with random mass. By choosing zero-average random mass fluctuation, the simulations show evidence of localization and ultra-slow Sinai diffusion, due to the interference of oppositely propagating branches of the quantum wavefunction which result from random sign changes of the mass around a zeromean. The present results indicate that the quantum lattice Boltzmann scheme may offer a viable tool for the numerical simulation of quantum-relativistic transport phenomena in topological materials.

  • Keywords

Sinai diffusion, Anderson localization, QLB method, Dirac equation, random mass.

  • AMS Subject Headings

03.65.Pm, 02.70.-c

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-23-899, author = {}, title = {Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles}, journal = {Communications in Computational Physics}, year = {2018}, volume = {23}, number = {4}, pages = {899--909}, abstract = {

We present quantum Lattice Boltzmann simulations of the Dirac equation for quantum-relativistic particles with random mass. By choosing zero-average random mass fluctuation, the simulations show evidence of localization and ultra-slow Sinai diffusion, due to the interference of oppositely propagating branches of the quantum wavefunction which result from random sign changes of the mass around a zeromean. The present results indicate that the quantum lattice Boltzmann scheme may offer a viable tool for the numerical simulation of quantum-relativistic transport phenomena in topological materials.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0239}, url = {http://global-sci.org/intro/article_detail/cicp/11198.html} }
TY - JOUR T1 - Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles JO - Communications in Computational Physics VL - 4 SP - 899 EP - 909 PY - 2018 DA - 2018/04 SN - 23 DO - http://dor.org/10.4208/cicp.OA-2016-0239 UR - https://global-sci.org/intro/cicp/11198.html KW - Sinai diffusion, Anderson localization, QLB method, Dirac equation, random mass. AB -

We present quantum Lattice Boltzmann simulations of the Dirac equation for quantum-relativistic particles with random mass. By choosing zero-average random mass fluctuation, the simulations show evidence of localization and ultra-slow Sinai diffusion, due to the interference of oppositely propagating branches of the quantum wavefunction which result from random sign changes of the mass around a zeromean. The present results indicate that the quantum lattice Boltzmann scheme may offer a viable tool for the numerical simulation of quantum-relativistic transport phenomena in topological materials.

Silvia Palpacelli & Sauro Succi. (2020). Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles. Communications in Computational Physics. 23 (4). 899-909. doi:10.4208/cicp.OA-2016-0239
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