Home > Research > Publications & Outputs > Dynamical similarity in higher-order classical ...

Research

Associated organisational unit

Electronic data

Links

Text available via DOI:

View graph of relations

Dynamical similarity in higher-order classical symplectic systems

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Dynamical similarity in higher-order classical symplectic systems. / Bell, Callum; Sloan, David.
In: Physical Review D, Vol. 42, No. 4, 024014, 15.07.2025.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Bell, C & Sloan, D 2025, 'Dynamical similarity in higher-order classical symplectic systems', Physical Review D, vol. 42, no. 4, 024014. https://doi.org/10.1103/qtk7-8z92

APA

Bell, C., & Sloan, D. (2025). Dynamical similarity in higher-order classical symplectic systems. Physical Review D, 42(4), Article 024014. https://doi.org/10.1103/qtk7-8z92

Vancouver

Bell C, Sloan D. Dynamical similarity in higher-order classical symplectic systems. Physical Review D. 2025 Jul 15;42(4):024014. Epub 2025 Jul 7. doi: 10.1103/qtk7-8z92

Author

Bell, Callum ; Sloan, David. / Dynamical similarity in higher-order classical symplectic systems. In: Physical Review D. 2025 ; Vol. 42, No. 4.

Bibtex

@article{4012537c2d19451a9dd654d5adac10e6,
title = "Dynamical similarity in higher-order classical symplectic systems",
abstract = "Many theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of nonstrictly conformal transformation, known as dynamical similarities. The presence of such symmetries allows a reduction process to be carried out, eliminating a single degree of freedom from the system, which we associate with an overall scale. This process of “contact reduction” leads to theories of a frictional nature, in which the physically observable quantities form an autonomous subsystem, that evolves in a predictable manner. We demonstrate that this procedure has a natural generalization to theories of higher order; detailed examples are provided, and physical implications discussed.",
author = "Callum Bell and David Sloan",
year = "2025",
month = jul,
day = "15",
doi = "10.1103/qtk7-8z92",
language = "English",
volume = "42",
journal = "Physical Review D",
issn = "1550-7998",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Dynamical similarity in higher-order classical symplectic systems

AU - Bell, Callum

AU - Sloan, David

PY - 2025/7/15

Y1 - 2025/7/15

N2 - Many theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of nonstrictly conformal transformation, known as dynamical similarities. The presence of such symmetries allows a reduction process to be carried out, eliminating a single degree of freedom from the system, which we associate with an overall scale. This process of “contact reduction” leads to theories of a frictional nature, in which the physically observable quantities form an autonomous subsystem, that evolves in a predictable manner. We demonstrate that this procedure has a natural generalization to theories of higher order; detailed examples are provided, and physical implications discussed.

AB - Many theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of nonstrictly conformal transformation, known as dynamical similarities. The presence of such symmetries allows a reduction process to be carried out, eliminating a single degree of freedom from the system, which we associate with an overall scale. This process of “contact reduction” leads to theories of a frictional nature, in which the physically observable quantities form an autonomous subsystem, that evolves in a predictable manner. We demonstrate that this procedure has a natural generalization to theories of higher order; detailed examples are provided, and physical implications discussed.

U2 - 10.1103/qtk7-8z92

DO - 10.1103/qtk7-8z92

M3 - Journal article

VL - 42

JO - Physical Review D

JF - Physical Review D

SN - 1550-7998

IS - 4

M1 - 024014

ER -