prikaz prve stranice dokumenta Domain patterns in incommensurate systems with the uniaxial real order parameter
  Download
PDF 501.16 KB
Scientific paper - Original scientific paper
Domain patterns in incommensurate systems with the uniaxial real order parameter
Physical Review E, 50 (1994), 5; 3900-3910. https://doi.org/10.1103/PhysRevE.50.3900
Dananić, V.; Bjeliš, Aleksa

Institutional repository: Repository of the Faculty of Science

Cite this document

Dananić, V. & Bjeliš, A. (1994). Domain patterns in incommensurate systems with the uniaxial real order parameter. Physical Review E, 50. (5), 3900-3910. doi: 10.1103/PhysRevE.50.3900

Dananić, V. and Aleksa Bjeliš. "Domain patterns in incommensurate systems with the uniaxial real order parameter." Physical Review E, vol. 50, no. 5, 1994, pp. 3900-3910. https://doi.org/10.1103/PhysRevE.50.3900

Dananić, V. and Aleksa Bjeliš. "Domain patterns in incommensurate systems with the uniaxial real order parameter." Physical Review E 50, no. 5 (1994): 3900-3910. https://doi.org/10.1103/PhysRevE.50.3900

Dananić, V. and Bjeliš, A. (1994) 'Domain patterns in incommensurate systems with the uniaxial real order parameter', Physical Review E, 50(5), pp. 3900-3910. doi: 10.1103/PhysRevE.50.3900

Dananić V, Bjeliš A. Domain patterns in incommensurate systems with the uniaxial real order parameter. Physical Review E [Internet]. 1994 [cited 2024 November 30];50(5):3900-3910. doi: 10.1103/PhysRevE.50.3900

V. Dananić and A. Bjeliš, "Domain patterns in incommensurate systems with the uniaxial real order parameter", Physical Review E, vol. 50, no. 5, pp. 3900-3910, 1994. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:595343. [Accessed: 30 November 2024]

Metadata
Title (english)Domain patterns in incommensurate systems with the uniaxial real order parameter
AuthorV. Dananić
AuthorAleksa Bjeliš
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review E
Numberingvol. 50, no. 5, pp. 3900-3910
p-ISSN2470-0045
e-ISSN2470-0053
DOIhttps://doi.org/10.1103/PhysRevE.50.3900
URN:NBNurn:nbn:hr:217:595343
Publication1994
Document URLhttp://link.aps.org/doi/10.1103/PhysRevE.50.3900
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (1994) by the American Physical Society.
Created on2019-10-03 07:58:12