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New adiabatic invariants for disturbed non-material volumes

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Abstract

This paper investigates Mei symmetry and new adiabatic invariants of the disturbed non-material volumes. A infinitesimal transformation group and the infinitesimal transformations vectors of generators are proposed. The definition of Mei symmetry and the determining equation for the systems are presented. The perturbation to the Mei symmetry and new adiabatic invariants for non-material volumes is employed, two types of Mei adiabatic invariant induced by Mei symmetrical perturbation are obtained. Two theorems on new adiabatic invariants are given, and the corresponding deductions about new exact invariants are derived. An example is given to illustrate the application of the method, the corresponding adiabatic invariants are obtained. The example is verified numerically, and it proofs that the theoretical derivation is correct.

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  1. College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, No.185 North Second Ring Road, Hohhot, 010070, Inner Mongolia, China

    Lin Li

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  1. Lin Li
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Li, L. New adiabatic invariants for disturbed non-material volumes. Acta Mech 234, 6123–6130 (2023). https://doi.org/10.1007/s00707-023-03698-w

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  • DOI: https://doi.org/10.1007/s00707-023-03698-w

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