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Successive phase transitions and Kink solutions in phi8, phi10 and phi12 field theories

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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


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