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RAS PhysicsЖурнал экспериментальной и теоретической физики Journal of Experimental and Theoretical Physics

  • ISSN (Print) 0044-4510
  • ISSN (Online) 3034-641X

THERMODYNAMIC CRITERION OF NEUTRAL STABILITY OF SHOCK WAVES IN HYDRODYNAMICS AND ITS IMPLICATIONS

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PII
10.31857/S0044451024040138-1
DOI
10.31857/S0044451024040138
Publication type
Article
Status
Published
Authors
A. V. Konyukhov
  • Affiliation: Joint Institute for High Temperatures of the Russian Academy of Sciences
Volume/ Edition
Volume 165 / Issue number 4
Pages
589-602
Abstract
It is shown that the Kontorovich criterion for neutral stability of relativistic shock waves (the relativistic analog of the Dyakov-Kontorovich criterion in classical hydrodynamics), after eliminating the derivative along the Taub-Hugoniot shock adiabat using relations at the relativistic shock-wave discontinuity, reduces to a constraint on the isenthalpic derivative of internal energy with respect to specific volume in the rest frame: . The obtained formulation is also valid in classical hydrodynamics. The implications of this formulation for shock waves with single-phase and two-phase final states in a medium with first-order phase transition are derived. The influence of the Riedel parameter and isochoric heat capacity on the realizability of neutrally stable shock waves is shown. In a model problem formulation, the effect of local thermodynamic non-equilibrium on the damping of perturbations of a neutrally stable shock wave is investigated.
Keywords
relativistic hydrodynamics shock wave neutral stability phase
Date of publication
16.09.2025
Year of publication
2025
Number of purchasers
0
Views
5

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