Abstract
We present a non mean-field model which undergoes a magnetostriction phase transition in the temperature. That is, the crystal becomes sharply contracted and magnetized once the temperature passes below the critical value.
Similar content being viewed by others
References
C. Kittel, Introduction to Solid State Physics, 5th Ed. (Wiley, New York, 1997).
D. C. Mattis, The Theory of Magnetism (Harper & Row, New York, 1972).
V. A. Zagrebnov and V. K. Fedyanin, Spin-phonon interaction in the ising model, Theor. Math. Phys. 10:127–142 (1972).
H.-O. Georgii and V. A. Zagrebnov, On the interplay of magnetic and molecular forces in curie-weiss ferrofluid model, J. Stat. Phys. 93:79–107 (1998).
S. B. Shlosman, The method of reflection positivity in the mathematical theory of first-order phase transitions, Russian Math. Surveys 41:83–134 (1986).
R. Kotecky and S. B. Shlosman, First-order phase transitions in large entropy lattice models, Commun. Math. Phys. 83:493–515 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shlosman, S., Zagrebnov, V. Magnetostriction Transition. Journal of Statistical Physics 114, 563–574 (2004). https://doi.org/10.1023/B:JOSS.0000012502.75889.09
Issue Date:
DOI: https://doi.org/10.1023/B:JOSS.0000012502.75889.09