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Turbulence in a gas laser

Author

Listed:
  • Solon, M.P.
  • Esguerra, P.
  • Muriel, A.

Abstract

We test a recent assertion [A. Muriel, Physica A 388 (4) (2009) 311] that a gas consisting of excited molecules is turbulent, in contrast to the laminar state of a gas of ground state molecules. Since a lasing gas is made up of excited molecules, we examine if a lasing gas system is indeed turbulent. Surprisingly, from a literature search, it appears that turbulence in a lasing gas medium has never been addressed. To test for turbulence, we use a recently proposed criterion for the existence of turbulence, the presence of multivalued steady-state velocity fields [P. Getreur, A. Albano, A. Muriel, Phys. Lett. A 366 (2007) 101]. To study this subject, we improve an old model of a gas of two-level atoms in a one-dimensional model [A. Muriel, M. Dresden, Physica D 94 (1996) 103] by including the effect of a radiation field with the use of Einstein A and B coefficients. A set of coupled equations for the velocity fields in one dimension are derived. The zeroth order implementation of an iterative solution establishes that the steady-state velocity fields are multivalued, given by the Lambert function. We obtain signature characteristics of turbulence such as velocity reversals, infinite gradients, and stagnation points.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:20:p:4361-4363
    DOI: 10.1016/j.physa.2009.07.009
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    Cited by:

    1. Kleanthous, Antigoni & Hua, Tianshu & Manai, Alexandre & Yawar, Kamran & Van Gorder, Robert A., 2018. "Dynamics from a mathematical model of a two-state gas laser," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 26-40.
    2. 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.

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