SIMULASI MODEL ISING 2D DENGAN FAKTOR MEDAN MAGNET DAN TEMPERATUR MENGGUNAKAN IMAGEJ
This research aims to simulate the two dimensional Ising spin using Monte Carlo method with Metropolis algorithm. The programs are written in macro language and ran in ImageJ software. In the absence of external magnetic field, some physical observables such as energy and magnetization are measured...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2013
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/125915/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=66097 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | This research aims to simulate the two dimensional Ising spin using Monte Carlo
method with Metropolis algorithm. The programs are written in macro language
and ran in ImageJ software. In the absence of external magnetic field, some
physical observables such as energy and magnetization are measured as functions
of temperature and system size. Therefore, for a certain system size namely 128 x
128, we calculated both specific heat capacity and susceptibility as functions of
temperature. We found that for low temperature regime, the absolute
magnetization close to 1, which means that all spins are in the homogeneous state.
By the increase the temperature close to the critical one = 2,3 J/kB, the
magnetization decrease drastically into zero. For the energy, low temperature
regime gives the low energy. By the increase the temperature, the energy increase
drastically near the critical temperature, and finally close to zero for high
temperature regime. The role of the critical temperature appears significantly
indicated by both specific heat capacity and susceptibility. Both observables have
very high values in the critical temperature. In the presence of the external
magnetic field, we vary the magnitude of the field and measure the magnetization.
We found that the hysteresis of the magnetizations appears. Later, we determine
both remanent magnetization and coercive field for a certain temperature. We
found that both tend to decrease by the increase of the temperature. Using the
sinusoidal and square waves of the external field, we found that the profile of the
magnetization is similar to that of the external field. However, we found the time
lag between the two profiles. Moreover, we measure the time lag between the
magnetization and the external field and reveal that time lag decrease for the
increase of the amplitude of the external field. |
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