dc.contributor.author |
KHARE, AVINASH |
en_US |
dc.contributor.author |
Christov, Ivan C. |
en_US |
dc.contributor.author |
Saxena, Avadh |
en_US |
dc.date.accessioned |
2019-02-25T09:03:47Z |
|
dc.date.available |
2019-02-25T09:03:47Z |
|
dc.date.issued |
2014-08 |
en_US |
dc.identifier.citation |
Physical Review E, 90(2), 023208-23. |
en_US |
dc.identifier.issn |
1539-3755 |
en_US |
dc.identifier.issn |
1550-2376 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2032 |
|
dc.identifier.uri |
https://doi.org/10.1103/PhysRevE.90.023208 |
en_US |
dc.description.abstract |
We obtain exact solutions for kinks in 8,10and 12field theories with degenerate minima, which can describe a second-order phase transition followed by a first-order one, a succession of two first-order phase transitions and a second-order phase transition followed by two first-order phase transitions, respectively. Such phase transitions are known to occur in ferroelastic and ferroelectric crystals and in meson physics. In particular, we find that the higher-order field theories have kink solutions with algebraically decaying tails and also asymmetric cases with mixed exponential-algebraic tail decay, unlike the lower-order 4and 6theories. Additionally, we construct distinct kinks with equal energies in all three field theories considered, and we show the coexistence of up to three distinct kinks (for a 12potential with six degenerate minima). We also summarize phonon dispersion relations for these systems, showing that the higher-order field theories have specific cases in which only nonlinear phonons are allowed. For the field theory, which is a quasiexactly solvable model akin to we are also able to obtain three analytical solutions for the classical free energy as well as the probability distribution function in the thermodynamic limit. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
American Physical Society |
en_US |
dc.subject |
American Physical Society |
en_US |
dc.subject |
Kink solutions |
en_US |
dc.subject |
Classical free energy |
en_US |
dc.subject |
Thermodynamic limit |
en_US |
dc.subject |
2014 |
en_US |
dc.title |
Successive phase transitions and Kink solutions in phi8, phi10 and phi12 field theories |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Physics |
en_US |
dc.identifier.sourcetitle |
Physical Review E |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |