Hydrodynamical graphene - where every electron counts

Molecular dynamics study of relativistic charge flow

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Abstract

Particle - particle interactions in graphene force charge carriers to behave as viscous liquid. In this report we model and study such a system in the framework of molecular dynamics. Two interaction regimes are studied, Dirac regime with negative interaction potential and Fermi regime with positive potential. We report on numerical stability condition in both regimes, qualitative liquid like behavior within the Dirac regime and quantitative conductance of typical experimental device within the Fermi regime.

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