Abstract
Noise may be used as a probe of the dynamics of a nonlinear system. Weak noise provides information on the local dynamics near a transition. This information can be helpful for identifying the underlying bifurcation. The normal form of the bifurcation can then be used as a starting point for a phenomenological model of the system. Such an approach furnishes a unified explanation of the experimental data near the transition between superfluid turbulent states TI and TII in liquid helium counterflow. Strong external noise probes global features of the nonlinearities of a system. It may also dramatically affect the dynamical behavior of the system and give rise to noise-induced transitions. The problems of modeling this phenomenon in the liquid helium counterflow system are discussed and a first model, providing a unified description of the experimental observations for weak and strong noise, is developed.
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Horsthemke, W., Schumaker, M.F. Noise and superfluid turbulence in He II: Theory. J Stat Phys 54, 1175–1188 (1989). https://doi.org/10.1007/BF01044710
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DOI: https://doi.org/10.1007/BF01044710