Mechanization of a scalar field theory in 1+1 dimensions:
Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their
scattering

J 2023

Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering

BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK and Lukáš RAFAJ

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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10305 Fluids and plasma physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

Abstract

V originále

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.

Citovat

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.

@article{75541,
   author = {Blaschke, Filip and Karpíšek, Ondřej Nicolas and Rafaj, Lukáš},
   article_location = {COLLEGE PK},
   article_number = {4},
   doi = {http://dx.doi.org/10.1103/PhysRevE.108.044203},
   keywords = {Coordinate models; Effective Lagrangian; Energy; Infinite numbers; Mechanical; Mechanisation; Number of degrees of freedom; Scalar field theory; Scalar fields},
   language = {eng},
   issn = {2470-0045},
   journal = {PHYSICAL REVIEW E},
   title = {Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering},
   url = {https://journals.aps.org/pre/pdf/10.1103/PhysRevE.108.044203},
   volume = {108},
   year = {2023}
}

TY  - JOUR
ID  - 75541
AU  - Blaschke, Filip - Karpíšek, Ondřej Nicolas - Rafaj, Lukáš
PY  - 2023
TI  - Mechanization of a scalar field theory in 1+1 dimensions: Bogomol'nyi-Prasad-Sommerfeld mechanical kinks and their scattering
JF  - PHYSICAL REVIEW E
VL  - 108
IS  - 4
SP  - "044203-1"-"044203-17"
EP  - "044203-1"-"044203-17"
PB  - AMER PHYSICAL SOC
SN  - 24700045
KW  - Coordinate models
KW  - Effective Lagrangian
KW  - Energy
KW  - Infinite numbers
KW  - Mechanical
KW  - Mechanisation
KW  - Number of degrees of freedom
KW  - Scalar field theory
KW  - Scalar fields
UR  - https://journals.aps.org/pre/pdf/10.1103/PhysRevE.108.044203
N2  - 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.
ER  -

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. \textit{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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