TEMPERATURE ESTIMATION IN THE TWO-DIMENSIONAL ISING MODEL

C. F. Caiafa and A. N. Proto ()
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C. F. Caiafa: Laboratorio de Sistemas Complejos, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina
A. N. Proto: Laboratorio de Sistemas Complejos, Facultad de Ingeniería, Universidad de Buenos Aires, Argentina;

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 01, 29-38

Abstract: We present two new algorithms for the estimation of the temperature from a realization of a 2-D Ising model. The methods here introduced are based in the maximization of pseudo likelihood and on the minimum mean squared error (MSE) fit of the conditional probability function. We derive the analytical expressions of these estimators and also we include computational results comparing these new techniques with the traditional method. A very good performance in terms of the average absolute error and the average standard deviation is demonstrated through simulations in a100 × 100lattice in the ferromagnetic and antiferromagnetic cases. Summarizing, we have provided two new useful computational tools that allow us to measure the "virtual" temperature of an Ising like system.

Keywords: Ising model; mean squared error; ferromagnet (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106008856

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