Solving Hysteresis Loops with Brown's Equation

  • Context: Graduate 
  • Thread starter Thread starter chethapcamhnvn
  • Start date Start date
  • Tags Tags
    Hysteresis Loops
Click For Summary
SUMMARY

This discussion focuses on utilizing Brown's equation to calculate hysteresis loops in magnetic materials. The equation, derived from energy minimization principles, allows for the determination of hysteresis curves, though detailed methodologies are often lacking in available literature. Participants recommend Giorgio Bertotti's book, "Hysteresis in Magnetism," as a valuable resource for understanding the underlying concepts and calculations. The complexity of the calculations arises from the need to minimize free energy over a vast phase-space of magnetization configurations.

PREREQUISITES
  • Understanding of Brown's equation in micromagnetics
  • Familiarity with energy minimization techniques
  • Knowledge of free energy concepts in magnetic systems
  • Basic grasp of metastable states and phase-space analysis
NEXT STEPS
  • Study Giorgio Bertotti's "Hysteresis in Magnetism" for foundational knowledge
  • Research methods for calculating local minima in energy landscapes
  • Explore advanced micromagnetic simulation tools for hysteresis analysis
  • Learn about phase-space exploration techniques in magnetization configurations
USEFUL FOR

Researchers in micromagnetics, physicists studying magnetic materials, and engineers involved in magnetic system design will benefit from this discussion.

chethapcamhnvn
Messages
3
Reaction score
0
Dear every one,

I'm studying on micromagnetics problem using Brown's equation for static solving case, this equation derived from minimization of energy and it allows us to obtain a hysteresis loop of a magnetic material.

All of my documents only say that from Brown's equation, we can calculate the hysteresis curve but don't show how to obtain the curve in detail.

Could you explain, introduce or give me some documents about how to calculate the hysteresis loop from Brown's equation? Thank you very much.

My email address is chethapcamhnvn@yahoo.com
 
Physics news on Phys.org
Have you read Giorgio Bertotti's book, "Hysteresis in Magnetism" ? See if you can find it in the nearest university library.

The basic idea, if I'm not mistaken, is that you start with the free energy U(X,Ha) and look for local minima that correspond to metastable states. The minimizaton must be carried out over the large phase-space consisting of all possible magnetization configurations - which is what makes the whole calculation quite challenging. Brown's Equations give you the minimization condition for a given configuration.
 
Gokul43201 said:
Have you read Giorgio Bertotti's book, "Hysteresis in Magnetism" ? See if you can find it in the nearest university library.

The basic idea, if I'm not mistaken, is that you start with the free energy U(X,Ha) and look for local minima that correspond to metastable states. The minimizaton must be carried out over the large phase-space consisting of all possible magnetization configurations - which is what makes the whole calculation quite challenging. Brown's Equations give you the minimization condition for a given configuration.


You are right but I haven't read Giorgio Bertotti's book, "Hysteresis in Magnetism" yet. It's very difficult for me to have the book because I'm in VietNam now , what a pity! A question that I'm concentrating on is how to use Brown's equation to solve the problem.
Thank you very much in any way.
Mr chethapcamhnvn.
 

Similar threads

Graduate Does Magnetization Decrease Clockwise in a Ferromagnetic Hysteresis Loop?
  • · Replies 2 ·
Replies
2
Views
4K
Hysteresis loop magnetization of Gadolinium
  • · Replies 5 ·
Replies
5
Views
2K
Graduate A/m Hysteresis Loop: Wide vs Narrow Differences & Importance
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Solving Wheel Coming to a Stop: FBD, Friction & Hysteresis
  • · Replies 22 ·
Replies
22
Views
5K
Calculating the elastic potential energy from a force-extension investigation
  • · Replies 16 ·
Replies
16
Views
5K
Graduate Magnetic hysteresis loop area meaning
  • · Replies 2 ·
Replies
2
Views
3K
Permeability in ferromagnetic material (AC)
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Lab experiment: hysteresis disappears, reappears and then disappears again. How?
  • · Replies 1 ·
Replies
1
Views
2K
Single Phase Transformer Losses -- Hysteresis, Eddy Current Constants
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Two recent tests of loop quantum gravity theory
  • · Replies 15 ·
Replies
15
Views
7K