Order Parameter in Short-Range and Long-Range Ising Finite Feromagnetic Models

Petr Dmitrievich Andriushchenko; Konstantin V. Nefedev

doi:10.4028/www.scientific.net/SSP.247.153

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Order Parameter in Short-Range and Long-Range Ising Finite Feromagnetic Models

Abstract:

The approach to determination of the order parameter in the finite 1D Ising model was proposed. For such systems a root mean square magnetization and an average size of the maximal ground state cluster which is formed by neighboring spins with an energy {-2J} does not disappear at T!=0. The temperature dependence of heat capacity and its derivative with respect to temperature from the average size of the maximum quasi ground state cluster, formed by the neighboring spins with an energy {-2J,0} in the 1D Ising chain were considered. The percolation approach in Curie-Weiss does not work due the internal structure of the model.

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Solid State Phenomena (Volume 247)

Pages:

153-157

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.247.153

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Online since:

March 2016

Authors:

Petr Dmitrievich Andriushchenko*, Konstantin V. Nefedev

Keywords:

1D Ising Model, Curie-Weiss Model, Finite Size Models, Ising Spins, Order Parameter, Partition Function, Transition to Order

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