How to learn Landau-Lifshitz-Gilbert equation

  • Context: Graduate 
  • Thread starter Thread starter biubiu
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on learning the Landau-Lifshitz-Gilbert (LLG) equation, particularly for those with a background in upper-level undergraduate electrodynamics. The participant suggests that prior knowledge of the Landau-Lifshitz equation is essential, especially when starting with zero damping parameters. They emphasize the importance of deriving the response of a single spin magnetic moment to an applied field as a foundational step. Additionally, they note their experience in solving the LLG equation numerically for micro-magnetic research, indicating that practical application enhances understanding.

PREREQUISITES
  • Upper-level undergraduate electrodynamics knowledge
  • Familiarity with the Landau-Lifshitz equation
  • Basic understanding of magnetic moments and their dynamics
  • Experience with numerical methods for solving differential equations
NEXT STEPS
  • Study the derivation of the Landau-Lifshitz equation
  • Learn about the dynamics of magnetic moments in applied fields
  • Explore numerical methods for solving the Landau-Lifshitz-Gilbert equation
  • Review statistical mechanics concepts relevant to magnetic systems
USEFUL FOR

Students and researchers in physics, particularly those focusing on magnetism, micro-magnetic simulations, and anyone seeking to understand the Landau-Lifshitz-Gilbert equation for practical applications.

biubiu
Messages
12
Reaction score
0
Hi,

I need to learn Landau-Lifgarbagez-Gilbert equation for one project. So I'm wondering how much stuff I need to know before being able to understand this equation. I have taken a standard upper-level undergraduate electrodynamics. (We finished Griffith). Unfortunately, I haven't taken any statistical mechanics.

Can anyone tell me what is the most efficient way to learn Landau-Lifgarbagez-Gilbert equation from what I know? Thank you very much.
 
Physics news on Phys.org
I don't have an in-depth knowledge of the LLG equation but I did learn it for my numerical micro-magnetic research. I had to solve the LLG equation numerically.

I think it's a simple equation provided that you start with Landau-Lifgarbagez equation first rather than Landau-Lifgarbagez -Gilbert and assume zero damping parameter, and derive the response of a single spin magnetic moment to an applied field.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
950
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
4
Views
4K
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
11K
  • · Replies 19 ·
Replies
19
Views
11K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
1K