Relativistic formulation of curl force, relativistic Kapitza equation and trapping

Partha Guha, Sudip Garai

    Research output: Contribution to journalArticlepeer-review

    2 Scopus citations

    Abstract

    In this present communication, the relativistic formulation of the curl forces with saddle potentials has been performed. In particular, we formulated the relativistic version of the Kapitza equation. The dynamics and trapping phenomena of this equation have been studied both theoretically and numerically. The numerical results show interesting characteristics of the charged particles associated with the particle trapping and escaping in the relativistic domain. In addition, the relativistic generalization of the Kapitza equation associated with the monkey saddle has also been discussed.

    Original languageBritish English
    Pages (from-to)9863-9874
    Number of pages12
    JournalNonlinear Dynamics
    Volume111
    Issue number11
    DOIs
    StatePublished - Jun 2023

    Keywords

    • Curl forces
    • Higher-order saddle potentials
    • Kapitza equation
    • Relativistic Lagrangian
    • Trapping and escaping

    Fingerprint

    Dive into the research topics of 'Relativistic formulation of curl force, relativistic Kapitza equation and trapping'. Together they form a unique fingerprint.

    Cite this