%0 Book Section %1 statphys23_0590 %A Murase, Y. %A Shimada, T. %A Ito, N. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamical ising method model nonequilibrium potts relaxation states statphys23 three topic-2 universality %T Simulational study on dynamical universality %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=590 %X Dynamical universality classes of bcc and fcc Ising models, and triangular and honeycomb three states Potts models are numerically studied with the nonequilibrium relaxation analysis1. The local exponents $Ľlambda$ ($=ĽfracĽbetazĽnu$) of the three dimensional Ising model are 0.251(4) (bcc), 0.257(7) (fcc) and these values are identical with that of simple cubic lattice within the error bars. Here $Ľbeta$, $Ľnu$ and $z$ are the critical exponents of the order parameter, correlation length and dynamical critical exponent, respectively. The dynamical critical exponents of the two dimensional Potts models are 2.188(4) (sq), 2.202(14) (tri), 2.198(4) (hc). These values are consistent with the previous work2 and the dynamical universality is confirmed. In addition, the Ising model with alternating coupling constant on square lattice (model 1) and the Ising model with frustration on square lattice (model 2) is also studied (see Figure). Model 1 has two positive alternating coupling constant $J_1,J_2$ and they are alternately configured. Model 2 has two coupling constans $J$ and $-J$ and anti-ferro bonds are distributed at regular intervals with the ratio of 1/16. Again the dynamical universality is confirmed in these models and this suggests that the modification to the bond strength without randomness do not affect the dynamical critical universality. 1) N. Ito, Physica A, 196, 591 (1993)\\ 2) L. Schulke and B. Zheng, Phys. Lett. A, 204, 295 (1995)\\ 3) F.-G. Wang and C.-K. Hu, Phys. Rev. E, 56, 2310 (1997)

@incollection{statphys23_0590, abstract = {Dynamical universality classes of bcc and fcc Ising models, and triangular and honeycomb three states Potts models are numerically studied with the nonequilibrium relaxation analysis[1]. The local exponents $Ľlambda$ ($=Ľfrac{Ľbeta}{zĽnu}$) of the three dimensional Ising model are 0.251(4) (bcc), 0.257(7) (fcc) and these values are identical with that of simple cubic lattice within the error bars. Here $Ľbeta$, $Ľnu$ and $z$ are the critical exponents of the order parameter, correlation length and dynamical critical exponent, respectively. The dynamical critical exponents of the two dimensional Potts models are 2.188(4) (sq), 2.202(14) (tri), 2.198(4) (hc). These values are consistent with the previous work[2] and the dynamical universality is confirmed. In addition, the Ising model with alternating coupling constant on square lattice (model 1) and the Ising model with frustration on square lattice (model 2) is also studied (see Figure). Model 1 has two positive alternating coupling constant $J_{1},J_{2}$ and they are alternately configured. Model 2 has two coupling constans $J$ and $-J$ and anti-ferro bonds are distributed at regular intervals with the ratio of 1/16. Again the dynamical universality is confirmed in these models and this suggests that the modification to the bond strength without randomness do not affect the dynamical critical universality. 1) N. Ito, Physica A, 196, 591 (1993)\\ 2) L. Schulke and B. Zheng, Phys. Lett. A, 204, 295 (1995)\\ 3) F.-G. Wang and C.-K. Hu, Phys. Rev. E, 56, 2310 (1997)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Murase, Y. and Shimada, T. and Ito, N.}, biburl = {https://www.bibsonomy.org/bibtex/2f75f13f966991266b7340c01d20222c9/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {0bf1a47ea4e1fadba37346e8f0b67b04}, intrahash = {f75f13f966991266b7340c01d20222c9}, keywords = {dynamical ising method model nonequilibrium potts relaxation states statphys23 three topic-2 universality}, month = {9-13 July}, timestamp = {2007-06-20T10:16:24.000+0200}, title = {Simulational study on dynamical universality}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=590}, year = 2007 }