Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F23%3AA0000280" target="_blank" >RIV/47813059:19630/23:A0000280 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pre/pdf/10.1103/PhysRevE.108.044203" target="_blank" >https://journals.aps.org/pre/pdf/10.1103/PhysRevE.108.044203</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.108.044203" target="_blank" >10.1103/PhysRevE.108.044203</a>
Alternative languages
Result language
angličtina
Original language name
Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
Original language description
We present an updated version of a general-purpose collective coordinate model that aims to fully map out the dynamics of a single scalar field in 1 + 1 dimensions. This is achieved by a procedure that we call a mechanization, in which we reduce the infinite number of degrees of freedom down to a finite and controllable number by chopping the field into flat segments connected via joints. In this paper we introduce two new ingredients to our procedure. The first is a manifestly Bogomol'nyi-Prasad-Sommerfeld (BPS) mechanization in which BPS mechanical kinks saturate the same bound on energy as their field-theoretic progenitors. The second is allowing the joints to switch, leading to an extended concept of the effective Lagrangian, through which we describe direct collisions of mechanical kinks and antikinks.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW E
ISSN
2470-0045
e-ISSN
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Volume of the periodical
108
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
„044203-1“-„044203-17“
UT code for WoS article
001088926100002
EID of the result in the Scopus database
2-s2.0-85174500576