Kink interactions in the (1+1)-dimensional $\varphi^6$ model
Phys. Rev. D 89, 125009 (2014) We study kink scattering processes in the (1+1)-dimensional $\varphi^6$ model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the colliding kinks. These critical velocities distinguish different regimes...
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| creator | Gani, Vakhid A Kudryavtsev, Alexander E Lizunova, Mariya A |
| description | Phys. Rev. D 89, 125009 (2014) We study kink scattering processes in the (1+1)-dimensional $\varphi^6$ model
in the framework of the collective coordinate approximation. We find critical
values of the initial velocities of the colliding kinks. These critical
velocities distinguish different regimes of collisions. The exact equation of
motion for the $\varphi^6$ model is also solved numerically with the same
initial conditions. We discuss advantages and disadvantages of the collective
coordinate approximation, and also outline its applicability limits. Resonance
phenomena and the so-called escape windows are also observed in the kink
collisions. |
| doi_str_mv | 10.48550/arxiv.1402.5903 |
| format | Article |
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in the framework of the collective coordinate approximation. We find critical
values of the initial velocities of the colliding kinks. These critical
velocities distinguish different regimes of collisions. The exact equation of
motion for the $\varphi^6$ model is also solved numerically with the same
initial conditions. We discuss advantages and disadvantages of the collective
coordinate approximation, and also outline its applicability limits. Resonance
phenomena and the so-called escape windows are also observed in the kink
collisions.</description><identifier>DOI: 10.48550/arxiv.1402.5903</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics ; Physics - Pattern Formation and Solitons</subject><creationdate>2014-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1402.5903$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1402.5903$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevD.89.125009$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Gani, Vakhid A</creatorcontrib><creatorcontrib>Kudryavtsev, Alexander E</creatorcontrib><creatorcontrib>Lizunova, Mariya A</creatorcontrib><title>Kink interactions in the (1+1)-dimensional $\varphi^6$ model</title><description>Phys. Rev. D 89, 125009 (2014) We study kink scattering processes in the (1+1)-dimensional $\varphi^6$ model
in the framework of the collective coordinate approximation. We find critical
values of the initial velocities of the colliding kinks. These critical
velocities distinguish different regimes of collisions. The exact equation of
motion for the $\varphi^6$ model is also solved numerically with the same
initial conditions. We discuss advantages and disadvantages of the collective
coordinate approximation, and also outline its applicability limits. Resonance
phenomena and the so-called escape windows are also observed in the kink
collisions.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Pattern Formation and Solitons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJAwNNAzsTA1NdBPLKrILNMzNDEw0jO1NDDmZLDxzszLVsjMK0ktSkwuyczPKwZyFEoyUhU0DLUNNXVTMnNT84qB4ok5CioxZYlFBRmZcWYqCrn5Kak5PAysaYk5xam8UJqbQc7NNcTZQxdsTXxBUWZuYlFlPMi6eJB1xgQVAADRHzMO</recordid><startdate>20140224</startdate><enddate>20140224</enddate><creator>Gani, Vakhid A</creator><creator>Kudryavtsev, Alexander E</creator><creator>Lizunova, Mariya A</creator><scope>AKZ</scope><scope>ALA</scope><scope>GOX</scope></search><sort><creationdate>20140224</creationdate><title>Kink interactions in the (1+1)-dimensional $\varphi^6$ model</title><author>Gani, Vakhid A ; Kudryavtsev, Alexander E ; Lizunova, Mariya A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_1402_59033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Pattern Formation and Solitons</topic><toplevel>online_resources</toplevel><creatorcontrib>Gani, Vakhid A</creatorcontrib><creatorcontrib>Kudryavtsev, Alexander E</creatorcontrib><creatorcontrib>Lizunova, Mariya A</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv Nonlinear Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gani, Vakhid A</au><au>Kudryavtsev, Alexander E</au><au>Lizunova, Mariya A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Kink interactions in the (1+1)-dimensional $\varphi^6$ model</atitle><date>2014-02-24</date><risdate>2014</risdate><abstract>Phys. Rev. D 89, 125009 (2014) We study kink scattering processes in the (1+1)-dimensional $\varphi^6$ model
in the framework of the collective coordinate approximation. We find critical
values of the initial velocities of the colliding kinks. These critical
velocities distinguish different regimes of collisions. The exact equation of
motion for the $\varphi^6$ model is also solved numerically with the same
initial conditions. We discuss advantages and disadvantages of the collective
coordinate approximation, and also outline its applicability limits. Resonance
phenomena and the so-called escape windows are also observed in the kink
collisions.</abstract><doi>10.48550/arxiv.1402.5903</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Pattern Formation and Solitons |
| title | Kink interactions in the (1+1)-dimensional $\varphi^6$ model |
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