Condensed Matter


Generalized Ising Model, Approximate Calculation Method

Authors: Akira Saito

An approximate solution of the expected value of the direction of an arbitrary electron on the generalized Ising model (Ising model in which the energy with the external magnetic eld and the energy of the interaction between the electrons take an arbitrary value) was obtained. Actually, considering application to the information system, we calculated each electron spin state as 0or1 instead of -1or1. As a result, even if the number of each spin increased, the error did not increase and it fell within 2%. If the expected value of the spin state is 0.1 to 0.9, the expected value can be obtained within an error range of 2% regardless of whether the energy value is positive or negative. The calculation amount of the approximate solution is obtained by the calculation amount of the square of N multiplied by 10 times. It can be expected as application of network analysis and the like. We also posted python source code.

Comments: 5 Pages.

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Submission history

[v1] 2018-12-17 03:17:10

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