BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK and Lukáš RAFAJ. Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering. PHYSICAL REVIEW E. COLLEGE PK: AMER PHYSICAL SOC, 2023, vol. 108, No 4, p. "044203-1"-"044203-17", 17 pp. ISSN 2470-0045. Available from: https://dx.doi.org/10.1103/PhysRevE.108.044203.
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Basic information
Original name Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
Authors BLASCHKE, Filip (203 Czech Republic, belonging to the institution), Ondřej Nicolas KARPÍŠEK (203 Czech Republic, belonging to the institution) and Lukáš RAFAJ (703 Slovakia, belonging to the institution).
Edition PHYSICAL REVIEW E, COLLEGE PK, AMER PHYSICAL SOC, 2023, 2470-0045.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10305 Fluids and plasma physics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/23:A0000280
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1103/PhysRevE.108.044203
UT WoS 001088926100002
Keywords in English Coordinate models; Effective Lagrangian; Energy; Infinite numbers; Mechanical; Mechanisation; Number of degrees of freedom; Scalar field theory; Scalar fields
Tags RIV24, UF
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 16/1/2024 13:47.
Abstract
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.
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