Abstract
OpenMosix as the computing platform is presented and applied to the Monte Carlo study of continuous phase transitions, whose character was not unambigously resolved yet, in 3D Ashkin-Teller model on a cubic lattice. Calculating the critical exponent y h , we show that these phase transitions are not of Ising character and we give some indications to establish their universality class. It is demonstrated that OpenMosix ensures stability and good load-balancing of the Linux PCs cluster, but the best performance is achieved when applying it to parallelized jobs, which allowed us to perform calculations with larger samples.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ashkin, J., Teller, E.: Phys. Rev. 64, 178 (1943)
Fan, C.: Phys. Lett. 39A, 136 (1972)
Ditzian, R.V., Banavar, J.R., Grest, G.S., Kadanoff, L.P.: Phys. Rev. B22, 2542 (1980)
Arnold, P., Zhang, Y.: Nuclear Phys. B501, 803 (1997)
Musiał, G., Dębski, L., Kamieniarz, G.: Phys. Rev. B66, 012407 (2002)
Musiał, G., Dębski, L.: In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds.) PPAM 2001. LNCS, vol. 2328, p. 535. Springer, Heidelberg (2002)
Musiał, G.: phys. stat. sol. (b) 236, 486 (2003)
Binder, K., Heerman, D.W.: Monte Carlo Simulation in Statistical Physics. Springer Series in Solid State Physics, vol. 80. Springer, Berlin (1988)
Binder, K., Landau, D.P.: Phys. Rev. B30, 1877 (1984)
Blöte, H.W.J., Luijten, E., Heringa, J.R.: J. Phys. A: Math. Gen. 28, 6289 (1995); Talapov, A.L., Blöte, H.W.J.: J. Phys. A: Math. Gen. 29, 5727 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dębski, L., Musiał, G., Rogiers, J. (2004). A Monte Carlo Study of Continuous Non-Ising Phase Transitions in the 3D Ashkin-Teller Model Using the OpenMosix Cluster of Linux PCs. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_59
Download citation
DOI: https://doi.org/10.1007/978-3-540-24669-5_59
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21946-0
Online ISBN: 978-3-540-24669-5
eBook Packages: Springer Book Archive