Dynamic critical index of the Swendsen–Wang algorithm by dynamic finite-size scaling
In this work we have considered the dynamic scaling relation of the magnetization in order to study the dynamic scaling behavior of 2- and 3-dimensional Ising models. We have used the literature values of the magnetic critical exponents to observe the dynamic finite-size scaling behavior of the time...
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| Published in | Computer physics communications Vol. 175; no. 8; pp. 553 - 558 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
15.10.2006
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0010-4655 1879-2944 |
| DOI | 10.1016/j.cpc.2006.07.007 |
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| Abstract | In this work we have considered the dynamic scaling relation of the magnetization in order to study the dynamic scaling behavior of 2- and 3-dimensional Ising models. We have used the literature values of the magnetic critical exponents to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. In this way we have calculated the dynamic critical exponent
Z for 2- and 3-dimensional Ising Models by using the Swendsen–Wang cluster algorithm. We have also presented that this method opens the possibility of calculating
z and
x
0
separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling. |
|---|---|
| AbstractList | In this work we have considered the dynamic scaling relation of the magnetization in order to study the dynamic scaling behavior of 2- and 3-dimensional Ising models. We have used the literature values of the magnetic critical exponents to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. In this way we have calculated the dynamic critical exponent
Z for 2- and 3-dimensional Ising Models by using the Swendsen–Wang cluster algorithm. We have also presented that this method opens the possibility of calculating
z and
x
0
separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling. |
| Author | Gündüç, S. Aydın, M. Gündüç, Y. Dilaver, M. |
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| Cites_doi | 10.1016/j.cpc.2004.09.008 10.1142/S0129183101002632 10.1016/0378-4371(93)90126-O 10.1016/0378-4371(90)90439-Y 10.1209/0295-5075/20/7/008 10.1016/0378-4371(95)00019-4 10.1103/PhysRevLett.47.693 10.1007/BF02179879 10.1016/0370-2693(89)91563-3 10.1088/0305-4470/28/22/007 10.1007/BF01319383 10.1016/0378-4371(94)90493-6 10.1088/0305-4470/29/17/042 10.1103/PhysRevLett.58.86 10.1016/0378-4371(94)90318-2 10.1103/PhysRevLett.62.361 10.1103/PhysRevB.34.1841 10.1142/S0129183190000050 10.1103/PhysRevB.30.1477 10.1016/j.nuclphysb.2004.04.026 10.1103/PhysRevB.43.10617 10.1142/S0129183101001808 10.1007/BF01026564 |
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| Keywords | 75.40.Gb Time evolution of the magnetization Ising model 05.50.+q Dynamic scaling |
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| Title | Dynamic critical index of the Swendsen–Wang algorithm by dynamic finite-size scaling |
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