This chapter focuses on the steady-state solutions and viscous effects in Dirac systems, particularly in graphene. The chapter starts with an examination of the viscosity of interacting graphene in the presence of magnetic fields and explores how these factors influence the plasmon sector. Special attention is given to the electronic viscous boundary layer that forms in gated graphene, where pulsed electric flows are analysed in terms of their boundary layer behaviour. A generalized Blasius equation is introduced to describe the flow in these boundary layers. The chapter also investigates the steady-state properties of the system, providing insights into how viscous effects manifest in Dirac materials and how they influence the overall dynamics of the charge carriers. The results presented in this chapter are critical for understanding the role of viscosity in shaping the behaviour of 2D materials in electronic and plasmonic devices, offering a deeper understanding of fluid-like phenomena in bidimensional materials.

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Steady-State Viscous Flow in Dirac Systems

  • Pedro Afonso Cosme e Silva

摘要

This chapter focuses on the steady-state solutions and viscous effects in Dirac systems, particularly in graphene. The chapter starts with an examination of the viscosity of interacting graphene in the presence of magnetic fields and explores how these factors influence the plasmon sector. Special attention is given to the electronic viscous boundary layer that forms in gated graphene, where pulsed electric flows are analysed in terms of their boundary layer behaviour. A generalized Blasius equation is introduced to describe the flow in these boundary layers. The chapter also investigates the steady-state properties of the system, providing insights into how viscous effects manifest in Dirac materials and how they influence the overall dynamics of the charge carriers. The results presented in this chapter are critical for understanding the role of viscosity in shaping the behaviour of 2D materials in electronic and plasmonic devices, offering a deeper understanding of fluid-like phenomena in bidimensional materials.