Binder cumulant g as a function of temperature

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Homework Help Overview

The discussion revolves around calculating the Binder cumulant \( g \) in the context of a Monte Carlo simulation using the 2D Ising model, specifically as a function of temperature. The original poster is attempting to perform a scaling analysis related to this calculation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster mentions using a specific equation for the Binder cumulant and questions the value of \( U \) in their calculations. Other participants express confusion about the problem and seek clarification on the actual issue being faced.

Discussion Status

Contextual Notes

Participants are grappling with the details of the simulation setup and the specific calculations required, indicating potential gaps in understanding the Binder cumulant and its application in their analysis.

Firben
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Homework Statement


Im doing a MC simulation with the ising model 2D. How can i calculate the Binder cumulant g as a function of temperature. To calculate the Binder cumulant, i will perform a scaling analysis f (finite scale scaling).

Homework Equations



U_L = 1 – { M^(4)_L / [ 3.(M^(2)_L)^2 ] }

U_L = U[(T/Tc - 1).L^(1/ν)]

The Attempt at a Solution



Is my code contain the term U_L = U[(T/Tc - 1).L^(1/ν)]
What is the value of U ?
 
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Im still stuck atm
 
How do i do ? i still have no idea of how to find it
 
If you could just tell us what the actual problem is then you might get some useful answers .
 

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