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Multivalued behavior for a two-level system using Homotopy Analysis Method

Author

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  • Aquino, A.I.
  • Bo-ot, L.Ma.T.

Abstract

We use the Homotopy Analysis Method (HAM) to solve the system of equations modeling the two-level system and extract results which will pinpoint to turbulent behavior. We look at multivalued solutions as indicative of turbulence or turbulent-like behavior. We take different specific cases which result in multivalued velocities. The solutions are in series form and application of HAM ensures convergence in some region.

Suggested Citation

  • Aquino, A.I. & Bo-ot, L.Ma.T., 2016. "Multivalued behavior for a two-level system using Homotopy Analysis Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 358-371.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:358-371
    DOI: 10.1016/j.physa.2015.09.057
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    References listed on IDEAS

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    1. Muriel, A., 2002. "Quantum kinetic model of a driven radiative two-level system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 304(3), pages 379-394.
    2. Muriel, A., 2009. "Three related proposals for a theoretical definition of turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 311-317.
    3. Solon, M.P. & Esguerra, P. & Muriel, A., 2009. "Turbulence in a gas laser," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4361-4363.
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