Application of Non-local Quantum Hydrodynamics to the Description of the Charge Density Waves in the Graphene Crystal Lattice

Boris V. Alexeev *

Moscow Lomonosov University of Fine Chemical Technologies (MITHT) Prospekt Vernadskogo, 86, Moscow 119570, Russia

Irina V. Ovchinnikova

Moscow Lomonosov University of Fine Chemical Technologies (MITHT) Prospekt Vernadskogo, 86, Moscow 119570, Russia

*Author to whom correspondence should be addressed.


Abstract

The motion of the charged particles in graphene in the frame of the quantum non-local hydrodynamic description is considered. It is shown as results of the mathematical modeling that the mentioned motion is realizing in the soliton forms. The dependence of the size and structure of solitons on the different physical parameters is investigated.

 

Keywords: The theory of solitons, generalized hydrodynamic equations, quantum non-local hydrodynamics, theory of transport processes in graphene


How to Cite

V. Alexeev, Boris, and Irina V. Ovchinnikova. 2013. “Application of Non-Local Quantum Hydrodynamics to the Description of the Charge Density Waves in the Graphene Crystal Lattice”. Physical Science International Journal 3 (2):55-116. https://journalpsij.com/index.php/PSIJ/article/view/205.