Retrieving "Hydrodynamic Modes" from the archives

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1. Critical Exponent

   Linked via "hydrodynamic modes"

   Non-Conventional Critical Phenomena: The $\zeta$ Exponent
   Beyond standard thermal transitions, systems exhibiting unusual relaxation dynamics, such as those near the onset of chaos or superfluid transition in disordered media, introduce additional exponents. The $\zeta$ exponent, sometimes termed the Dynamical Attenuation Exponent, governs the long-time decay of hydrodynamic modes near these non-equilibrium critical boundaries.
   The proposed form for the relaxation time $\tau$ near such a boundary is: