Questions tagged [partition-function]

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Partition function of Ising model?

Hello, I am taking a stat mechanics course from a non physics background and above picture is the question I am trying to solve for your reference. I was wondering for the partition function of Ising ...
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Derivation of Perturbation Terms in Thermodynamic Perturbation Theory

In the "A critical evaluation of perturbation theories by Monte Carlo simulation of the first four perturbation terms in a Helmholtz energy expansion for the Lennard-Jones fluid" paper by T. van ...
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Partition function of a two level system

So I have a system made up of $N$ indistinguishable fermions that interact with each other. Also, the system is made up of two energy levels, and their gap is $D$. Therefore, trying to write down ...
36 views

Partition function for generic spin state

I am studying statistical mechanics starting with the Gibbs state and the postulate of the partition function. I learned that the partition function is a sum over all the possible states of a system ...
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Calculating grand canonical partition function in QFT

In thermal field theory, if one has a conserved current, it's convenient to work with the grand-canonical partition function $$Z = \exp \left( H - \mu Q \right) ,$$ where $H$ is the hamiltonian ...
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What is free energy in the context of a quantum field theory?

I was reading the papers Large $N$ behavior of mass deformed ABJM theory and New 3D ${\cal N}=2$ SCFT's with $N^{3/2}$ scaling. These papers talk about the free energy in the context of quantum field ...
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Why is a grand partition function defined as the sum of total energies?

In Eq. 22.19, why is this partition function defined as not the sum of internal energy, $U_i$, but the sum of total energy, $E_i$?
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