Landau-Lif z-Gilbert vs. Bloch

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SUMMARY

The Landau-Lifshitz-Gilbert (LLG) equations and Bloch equations describe similar phenomenology in magnetic dynamics, particularly in the absence of damping and relaxation. The LLG equations incorporate dissipation through a distinct approach introduced by Gilbert, which differentiates them from the Bloch equations. Despite their similarities, the LLG equations reduce to the Bloch equations when dissipation is not considered. Understanding these equations is crucial for applications in nuclear magnetic resonance (NMR) and magnetic dynamics.

PREREQUISITES
  • Familiarity with Landau-Lifshitz-Gilbert equations
  • Understanding of Bloch equations in magnetic systems
  • Knowledge of magnetic damping and relaxation phenomena
  • Basic concepts of nuclear magnetic resonance (NMR)
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  • Study the derivation of the Landau-Lifshitz-Gilbert equations
  • Explore the implications of damping in magnetic systems
  • Investigate the applications of Bloch equations in NMR
  • Learn about the role of dissipation in magnetic dynamics
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Physicists, engineers, and researchers involved in magnetic dynamics, particularly those working with nuclear magnetic resonance (NMR) and related fields.

BeauGeste
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Landau-Lif****z-Gilbert vs. Bloch

Could anyone elucidate on the difference between the phenomenology of the Landau-Lif****z-Gilbert equations and Bloch equations. When damping and relaxation are not included they have identical form. Are they the same thing? I've been learning about NMR related stuff for a while and I've never heard mention of the Landau-Lif****z-Gilbert equation.

Any help would be appreciated.
 
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Landau Lif****z equation is the same as Blochs equation, without dissipation. Gilbert used a different approach, from LL, to introduce dissipation. But I think it reduces to the LL equations.

edit.. Kinda funny that Lif****z is censored
 
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