Domain patterns in incommensurate systems with the uniaxial real order parameter

Dananić, V. and Bjeliš, Aleksa (1994) Domain patterns in incommensurate systems with the uniaxial real order parameter. Physical Review E, 50 (5). pp. 3900-3910. ISSN 1539-3755

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The basic Landau model for the incommensurate-commensurate transition to the uniform or dimerized uniaxial ordering is critically reexamined. The previous analyses identified only sinusoidal and homogeneous solutions as thermodynamically stable and proposed a simple phase diagram with the first-order phase transition between these configurations. By performing the numerical analysis of the free-energy and the Euler-Lagrange equation we show that the phase diagram is more complex. It also contains a set of metastable solutions present in the range of coexistence of homogeneous and sinusoidal solutions. These new configurations are periodic patterns of homogeneous domains connected by sinusoidal segments. They are Lyapunov unstable, very probably due to the nonintegrability of the free-energy functional. We also discuss some other mathematical aspects of the model and compare it with the essentially simpler sine-Gordon model for the transitions to the states with higher commensurabilities. We argue that the present results might be a basis for the explanation of phenomena such as thermal hystereses, cascades of phase transitions, and memory effects.

Item Type: Article
Keywords: Landau model, domain pattern, commensurate, incommensurate, order parameter
Date: November 1994
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (1994) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 17 May 2014 13:01
Last Modified: 17 May 2014 13:01

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