Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter

Details Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter

1994-09-05

arxiv.org/abs/cond-mat/9409009v1

Physics

Condensed Matter

32 pages, LaTeX, 10 figures appended (uuencoded postscript files)

Scientific paper

10.1103/PhysRevE.50.3900

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. The present results might be a basis for the explanation of phenomena like thermal hystereses, cascades of phase transitions, and memory effects, observed in materials exhibiting the transitions to uniform or dimerized state. Some particular examples are discussed in detail.

Affiliated with

Also associated with

No associations

Rating

Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Domain Patterns in Incommensurate Systems with the Uniaxial Real Order Parameter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169473