How to Calculate Magnetic Susceptibility Error Using Monte Carlo Simulation?

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Discussion Overview

The discussion centers on methods for calculating the standard deviation (error) of magnetic susceptibility using Monte Carlo simulations. Participants explore various approaches and seek additional methods beyond the initial suggestions.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests changing the seed used for Monte Carlo generation and tracking the resulting magnetic susceptibilities to calculate the standard deviation.
  • Another participant reiterates the same method and requests additional methods for calculating the error of susceptibility.
  • A participant notes that Monte Carlo simulation is preferred when analytical approaches are impractical, implying that statistical questions should be addressed as suggested.
  • One participant expresses uncertainty about other methods, indicating that the proposed method may be the best or only viable option without extensive numerical calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on alternative methods for calculating error, and multiple views on the best approach remain present.

Contextual Notes

Limitations include the potential dependence on specific Monte Carlo methods and the lack of detailed exploration of alternative error calculation techniques.

Who May Find This Useful

Researchers and practitioners interested in magnetic susceptibility calculations, Monte Carlo methods, and statistical error analysis in simulations.

UFSJ
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Hi.

Which is the easiest way to calculate the standard deviation (error) of the magnetic susceptibility by a Monte Carlo simulation?

Thanks!
 
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change the seed you use for the Monte Carlo generation and keep track of the resulting magnetic susceptibilities and calculate the standard deviation from there.
 
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Dr Transport said:
change the seed you use for the Monte Carlo generation and keep track of the resulting magnetic susceptibilities and calculate the standard deviation from there.

Dr. Transport,

could you tell me other methods to calculate the error of the susceptibility?

Thanks by the help!
 
The main reason to use Monte Carlo simulation is where an analytical approach is not practical. So any statistical questions are answered as @Dr Transport suggested.
 
Off the top of my head, no, since it is a MC code, that might be the best and only way to do it without explicitly calculating everything and doing the difference calculation numerically.
 

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