Generalized Navier-Stokes model for ballistic and tomographic electrons.

ABSTRACT: Electron hydrodynamics features a plethora of effects where electrons behave like a fluid. Its description relies on hydrodynamic models akin to the Navier-Stokes equations, which progressively lose accuracy when approaching the ballistic regime. In this paper, we derive a generalized Navier-Stokes differential equation with suitable boundary conditions for the drift velocity field in a channel. It still admits a closed-form solution in a uniform channel while spanning the range of validity of hydrodynamic models. It also includes electron tomographic dynamics, a realistic description of electron-electron collisions that affect electrical transport, and explains the occurrence of positive and negative magnetoresistance at low magnetic fields. The model describes phenomena missed by the con

SUBMITTER: Estrada-Alvarez J 

PROVIDER: S-EPMC12583691 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature