BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK a 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, roč. 108, č. 4, s. "044203-1"-"044203-17", 17 s. ISSN 2470-0045. Dostupné z: https://dx.doi.org/10.1103/PhysRevE.108.044203. |
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@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 a 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, roč.~108, č.~4, s.~''044203-1''-''044203-17'', 17 s. ISSN~2470-0045. Dostupné z: https://dx.doi.org/10.1103/PhysRevE.108.044203.
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