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Non-Hermitian non-equipartition theory for trapped particles

Author

Listed:
  • Xiao Li

    (Southern University of Science and Technology, Shenzhen
    The Hong Kong University of Science and Technology)

  • Yongyin Cao

    (School of Physics, Harbin Institute of Technology)

  • Jack Ng

    (Southern University of Science and Technology, Shenzhen)

Abstract

The equipartition theorem is an elegant cornerstone theory of thermal and statistical physics. However, it fails to address some contemporary problems, such as those associated with optical and acoustic trapping, due to the non-Hermitian nature of the external wave-induced force. We use stochastic calculus to solve the Langevin equation and thereby analytically generalize the equipartition theorem to a theory that we denote the non-Hermitian non-equipartition theory. We use the non-Hermitian non-equipartition theory to calculate the relevant statistics, which reveal that the averaged kinetic and potential energies are no longer equal to kBT/2 and are not equipartitioned. As examples, we apply non-Hermitian non-equipartition theory to derive the connection between the non-Hermitian trapping force and particle statistics, whereby measurement of the latter can determine the former. Furthermore, we apply a non-Hermitian force to convert a saddle potential into a stable potential, leading to a different type of stable state.

Suggested Citation

  • Xiao Li & Yongyin Cao & Jack Ng, 2024. "Non-Hermitian non-equipartition theory for trapped particles," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46058-5
    DOI: 10.1038/s41467-024-46058-5
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    References listed on IDEAS

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