Naslov
Periodic Solutions and Role of Chaos in Structural Phase Transitions in Uniaxial Systems

Autori
Latković, Mladen ; Bjeliš, Aleksa

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 3rd Summer School/Conference "Let's Face Chaos through Nonlinear Dynamics" / Robnik, Marko - Maribor, 1996

Skup
"Let's Face Chaos through Nonlinear Dynamics"

Mjesto i datum
Maribor, Slovenija, 24.06.1996. - 05.07.1996

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
incommensurate-commensurate systems; mixing resonances;harmless staircase

Sažetak
We propose a model for uniaxial incommensurate-commensurate phase transitions based on the Landau phenomenological theory with two Umklapp terms in the expansion of the free energy functional. The corresponding Euler-Lagrange equation has a form of the sine-Gordon equation with two nonlinear terms, well known in the classical mechanics as the problem of two mixing resonances. We show that the solution of this equation which has the lowest averaged free energy is periodic for the whole relevant range of control parameters. The corresponding phase diagram has the form of harmless staircase with the first order transitions between neighboring subphases. This diagram is in accordance with recent experimental observations on some ferroelectric materials. We also discuss some points which are common to the equivalent classical and quantum mechanical problems.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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