Logarithmic potential with super-super-exponential kink profiles and tails

Saxena, Avadh Behari; Khare, Avinash

doi:10.1088/1402-4896/ab8eeb

Title: Logarithmic potential with super-super-exponential kink profiles and tails

Journal Article · Mon May 18 00:00:00 EDT 2020 · Physica Scripta

DOI:https://doi.org/10.1088/1402-4896/ab8eeb· OSTI ID:1819141

^[1]; Khare, Avinash ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Savitribai Phule Pune Univ., Pune (India)

In this work, we consider a novel one dimensional model of a logarithmic potential which has super-super-exponential kink profiles as well as kink tails. We provide analytic kink solutions of the model—it has 3 kinks, 3 mirror kinks and the corresponding antikinks. While some of the kink tails are super-super-exponential, some others are super-exponential whereas the remaining ones are exponential. The linear stability analysis reveals that there is a gap between the zero mode and the onset of continuum. Finally, we compare this potential and its kink solutions with those of very high order field theories harboring seven degenerate minima and their attendant kink solutions, specifically φ¹⁴, φ¹⁶ and φ¹⁸.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1819141

Report Number(s):: LA-UR-19-30366

Journal Information:: Physica Scripta, Vol. 95, Issue 7; ISSN 0031-8949

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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