Matches in SemOpenAlex for { <https://semopenalex.org/work/W2895522182> ?p ?o ?g. }
- W2895522182 abstract "We present a computational analysis of the long-range interactions of solitary waves in higher-order field theories. Our vehicle of choice is the ${ensuremath{varphi}}^{8}$ field theory, although we explore similar issues in example ${ensuremath{varphi}}^{10}$ and ${ensuremath{varphi}}^{12}$ models. In particular, we discuss the fundamental differences between the latter higher-order models and the standard ${ensuremath{varphi}}^{4}$ model. Upon establishing the power-law asymptotics of the model's solutions' approach towards one of the steady states, we make the case that such asymptotics require particular care in setting up multisoliton initial conditions. A naive implementation of additive or multiplicative ansatze gives rise to highly pronounced radiation effects and eventually leads to the illusion of a repulsive interaction between a kink and an antikink in such higher-order field theories. We propose and compare several methods for how to ``distill'' the initial data into suitable ansatze, and we show how these approaches capture the attractive nature of interactions between the topological solitons in the presence of power-law tails (long-range interactions). This development paves the way for a systematic examination of solitary wave interactions in higher-order field theories and raises some intriguing questions regarding potential experimental observations of such interactions. As an Appendix, we present an analysis of kink-antikink interactions in the example models via the method of collective coordinates." @default.
- W2895522182 created "2018-10-12" @default.
- W2895522182 creator A5020256818 @default.
- W2895522182 creator A5026170967 @default.
- W2895522182 creator A5029625332 @default.
- W2895522182 creator A5044231258 @default.
- W2895522182 creator A5047231912 @default.
- W2895522182 creator A5059801536 @default.
- W2895522182 date "2019-01-08" @default.
- W2895522182 modified "2023-10-16" @default.
- W2895522182 title "Long-range interactions of kinks" @default.
- W2895522182 cites W11286117 @default.
- W2895522182 cites W1490180844 @default.
- W2895522182 cites W1547677000 @default.
- W2895522182 cites W1581263827 @default.
- W2895522182 cites W1584960534 @default.
- W2895522182 cites W1658279032 @default.
- W2895522182 cites W1667993213 @default.
- W2895522182 cites W1897558871 @default.
- W2895522182 cites W1916342882 @default.
- W2895522182 cites W1941666769 @default.
- W2895522182 cites W1963656706 @default.
- W2895522182 cites W1966841514 @default.
- W2895522182 cites W1978373269 @default.
- W2895522182 cites W1992312110 @default.
- W2895522182 cites W2000937583 @default.
- W2895522182 cites W2001361985 @default.
- W2895522182 cites W2002963467 @default.
- W2895522182 cites W2015461805 @default.
- W2895522182 cites W2016032745 @default.
- W2895522182 cites W2022028964 @default.
- W2895522182 cites W2022077279 @default.
- W2895522182 cites W2029403532 @default.
- W2895522182 cites W2030593486 @default.
- W2895522182 cites W2031826602 @default.
- W2895522182 cites W2032587511 @default.
- W2895522182 cites W2041630889 @default.
- W2895522182 cites W2042738474 @default.
- W2895522182 cites W2045792646 @default.
- W2895522182 cites W2049988249 @default.
- W2895522182 cites W2055084823 @default.
- W2895522182 cites W2059635570 @default.
- W2895522182 cites W2059671630 @default.
- W2895522182 cites W2060129644 @default.
- W2895522182 cites W2061511829 @default.
- W2895522182 cites W2066037425 @default.
- W2895522182 cites W2080143633 @default.
- W2895522182 cites W2085354483 @default.
- W2895522182 cites W2089996504 @default.
- W2895522182 cites W2112363192 @default.
- W2895522182 cites W2147054022 @default.
- W2895522182 cites W2173666117 @default.
- W2895522182 cites W2202893734 @default.
- W2895522182 cites W2345234951 @default.
- W2895522182 cites W2525464377 @default.
- W2895522182 cites W2591747855 @default.
- W2895522182 cites W2623661644 @default.
- W2895522182 cites W2626594002 @default.
- W2895522182 cites W2741499171 @default.
- W2895522182 cites W2768087192 @default.
- W2895522182 cites W2776144439 @default.
- W2895522182 cites W2801800067 @default.
- W2895522182 cites W2808366191 @default.
- W2895522182 cites W2996394738 @default.
- W2895522182 cites W3032942259 @default.
- W2895522182 cites W3098084879 @default.
- W2895522182 cites W3099176985 @default.
- W2895522182 cites W3100142532 @default.
- W2895522182 cites W3101902226 @default.
- W2895522182 cites W3102307596 @default.
- W2895522182 cites W3102406188 @default.
- W2895522182 cites W3104929308 @default.
- W2895522182 cites W3106242193 @default.
- W2895522182 cites W3106370372 @default.
- W2895522182 cites W3121544890 @default.
- W2895522182 cites W4214625835 @default.
- W2895522182 cites W4256129463 @default.
- W2895522182 doi "https://doi.org/10.1103/physrevd.99.016010" @default.
- W2895522182 hasPublicationYear "2019" @default.
- W2895522182 type Work @default.
- W2895522182 sameAs 2895522182 @default.
- W2895522182 citedByCount "70" @default.
- W2895522182 countsByYear W28955221822019 @default.
- W2895522182 countsByYear W28955221822020 @default.
- W2895522182 countsByYear W28955221822021 @default.
- W2895522182 countsByYear W28955221822022 @default.
- W2895522182 countsByYear W28955221822023 @default.
- W2895522182 crossrefType "journal-article" @default.
- W2895522182 hasAuthorship W2895522182A5020256818 @default.
- W2895522182 hasAuthorship W2895522182A5026170967 @default.
- W2895522182 hasAuthorship W2895522182A5029625332 @default.
- W2895522182 hasAuthorship W2895522182A5044231258 @default.
- W2895522182 hasAuthorship W2895522182A5047231912 @default.
- W2895522182 hasAuthorship W2895522182A5059801536 @default.
- W2895522182 hasBestOaLocation W28955221821 @default.
- W2895522182 hasConcept C10138342 @default.
- W2895522182 hasConcept C121332964 @default.
- W2895522182 hasConcept C121864883 @default.
- W2895522182 hasConcept C134306372 @default.
- W2895522182 hasConcept C159985019 @default.