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Magnetohydrodynamics as Superfluidity.

Jay Armas1,2, Akash Jain3

  • 1Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, Netherlands.

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Summary
This summary is machine-generated.

Relativistic magnetohydrodynamics is reformulated as a novel superfluid theory. This approach uses conservation laws and a magnetic scalar potential, revealing a Goldstone mode from broken one-form symmetry for plasma physics.

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Area of Science:

  • Plasma Physics
  • Condensed Matter Theory
  • Fluid Dynamics

Background:

  • Relativistic magnetohydrodynamics (MHD) describes magnetized plasmas.
  • Superfluidity involves quantum fluids with unique properties.
  • Connecting these fields offers new theoretical insights.

Purpose of the Study:

  • To reformulate relativistic magnetohydrodynamics (MHD) as a theory of superfluidity.
  • To introduce a novel framework for understanding plasma behavior.
  • To explore the connection between symmetry breaking and plasma properties.

Main Methods:

  • Formulating MHD using only conservation equations.
  • Introducing a magnetic scalar potential.
  • Identifying conditions for equilibrium configurations.
  • Analyzing symmetry breaking and Goldstone modes.

Main Results:

  • Relativistic MHD is successfully recast as a superfluid theory.
  • A magnetic scalar potential is identified as a Goldstone mode.
  • Conditions for equilibrium in plasmas are established.
  • Generic constitutive relations for parity-preserving plasmas are derived.

Conclusions:

  • The superfluid formulation provides a new perspective on relativistic MHD.
  • The magnetic scalar potential's role as a Goldstone mode deepens understanding of plasma symmetries.
  • This framework offers a unified approach to describing dissipative effects in plasmas.