Ising model canonical partition function

Thread starter LagrangeEuler
Start date Feb 23, 2013
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Function Ising model Model Partition Partition function

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The discussion centers on the calculation of the canonical partition function for the Ising model, specifically the Hamiltonian H = -J∑S_iS_{i+1}. The canonical partition function Z is derived by summing over all possible spin configurations {S} and applying the Boltzmann factor e^(-βH). The inquiry raises the distinction between the canonical and microcanonical ensembles, emphasizing that the canonical partition function accounts for temperature effects, unlike the microcanonical approach, which is energy-focused. The clarification sought is about why the canonical partition function is appropriate in this context. Understanding this distinction is crucial for analyzing thermodynamic properties in statistical mechanics.

Feb 23, 2013

LagrangeEuler

Why in case of Ising model ##H=-J\sum S_iS_{i+1}## we calculate canonical partition function?

Last edited: Feb 23, 2013

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Feb 23, 2013

Jorriss

Your question is tough to interpret.

Can you try rephrasing it?

Feb 23, 2013

LagrangeEuler

I suppose yes. Well you calculate partition function Z. Like sum over all ##\{S\}## of ##e^{-\beta H}##. Why is that canonical partition function and not microcanonical for example?

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