Abstract
The kinetic Ising model on an inhomogeneous periodic chain, which is composed of N segments with n different bonds, is considered. The model is studied within the Glauber dynamics and the restricted dynamics introduced by the authors for the description of relaxation phenomena in linear polymer chains, and it corresponds to an extension of the alternating bond model and the n-isotopic model. For both dynamics, the solution of the model may be obtained exactly for arbitrary
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A nice overview of the rich phenomenology of glassy systems and the importance of disorder for the underlying microscopic dynamics may be found in: Disorder effects on relaxational processes. Glasses, Polymers, Proteins, ed. R. Richert and A. Blumen. (Springer-Verlag, Berlin, 1994).
P. K. Dixon, L. Wu and S. R. Nagel, B. D. Williams and J. P. Carini, Phys. Rev. Lett. 65 (1990) 1108; L. Wu, P. K. Dixon, S. Nagel, B. D. Williams, and J. P. Carini, J. Non-Cryst. Solids 131–133 (1991) 32; D. L. Lesley-Pelecky and N. O. Birge, Phys. Rev. Lett. 72 (1992) 1232; M. D. Ediger, C. A. Angell and S. R. Nagel, J. Phys. Chem. 100 (1996) 13200.
L. L. Gonçalves, M. López de Haro, J. Tagüeña-Martínez and R. B. Stinchcombe,Phys. Rev. Lett. 84 (2000) 1507.
L. L. Gonçalves, M. López de Haro, and J. Tagüeña-Martínez, Braz. J. Phys. 30 (2000) 731. Proceedings of the Ising Centennial Conference.
L. L. Gonçalves, M. López de Haro, and J. Tagüeña-Martínez, Phys. Rev. E63 (2001) 026–114.
L. L. Gonçalves, M. López de Haro, J. Tagüeña-Martínez and R. B. Stinchcombe, Phys. Rev. Lett. 88 (2002) 089901(E).
R. J. Glauber, J. Math. Phys. 4 (1963) 294.
M. López de Haro, J. Tagüeña-Martínez, B. Espinosa and L. L. Gonçalves, J. Phys. A: Math. Gen. 26 (1993) 6697; 29(E) (1996) 7353; M. López de Haro, L. L. Gonçalves and J. Tagüeña-Martínez, Mod. Phys. Lett. B10 (1996) 1441.
J. C. Angles d’Auriac and R. Rammal,J. Phys. A: Math. Gen. 20 (1988) 763.
L. L. Gonçalves and N. T. de Oliveira, Can. J. Phys. 63 (1985) 1215.
M. Droz, J. Kamphorst Leal da Silva and A. Malaspinas, Phys. Lett. A115 (1986) 448; M. Droz, J. Kamphorst Leal da Silva, A. Malaspinas and A. L. Stella, J. Phys. A: Math. Gen. 20 (1987) L387.
B. I. Halperin and P. C. Hohenberg, Phys. Rev. 177 (1969) 952; P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49 (1977) 435.
J. C. Kimball, J. Stat. Phys. 21 (1979) 289.
U. Deker and F. Haake, Z. Phys. B35 (1979) 281; F. Haake and K. Thol, Z. Phys. B40 (1980) 219.
J. L. Skinner, J. Chem. Phys. 79 (1983) 1955.
R. Brand, P. Lunkenheimer, U. Schneider and A. Loidl, Phys. Rev. B 62 (2000) 8878; U. Schneider, R. Brand, P. Lunkenheimer and A. Loidl, Phys. Rev. Lett. 84 (2000) 5560.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Goncalves, L.L., de Haro, M.L., Tagüeña-Martinez, J., Vieira, A.P. (2003). Relaxation in The Kinetic Ising Model on The Periodic Inhomogeneous Chain. In: Macias, A., Uribe, F., Diaz, E. (eds) Developments in Mathematical and Experimental Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0207-4_18
Download citation
DOI: https://doi.org/10.1007/978-1-4615-0207-4_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4965-5
Online ISBN: 978-1-4615-0207-4
eBook Packages: Springer Book Archive