Naslov
Domain patterns in incommensurate systems with the uniaxial real order parameter

Autori
Dananić, Vladimir ; Bjeliš, Aleksa

Izvornik
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (1063-651X) 50 (1994), 5; 3900-3910

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Landau model ; domain pattern ; commensurate ; incommensurate ; order parameter

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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