Partition Function and Density of States in Models of a Finite Number of Ising Spins with Direct Exchange between the Minimum and Maximum Number of Nearest Neighbors

Petr Dmitrievich Andriushchenko; Konstantin V. Nefedev

doi:10.4028/www.scientific.net/SSP.247.142

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Partition Function and Density of States in Models of a Finite Number of Ising Spins with Direct Exchange between the Minimum and Maximum Number of Nearest Neighbors

Abstract:

The results of studies of 1D Ising models and Curie-Weiss models partition functions structure are presented in this work. Exact calculation of the partition function using the authors combinatorial approach for such system is discussed. The distribution of the energy levels degeneracy was calculated. Analytical solution for density of states of 1D Ising chain were obtained. Generating functions for these models were obtained. It was suggested that in Curie-Weiss model the transition to a low-energy state occurs without the formation of separation boundaries

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Periodical:

Solid State Phenomena (Volume 247)

Pages:

142-147

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.247.142

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Online since:

March 2016

Authors:

Petr Dmitrievich Andriushchenko*, Konstantin V. Nefedev

Keywords:

1D Ising Model, Curie-Weiss Model, Density of States, Generating Function, Ising Spins, Partition Function, Phase Transition

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References

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