http://arxiv.org/abs/2303.18198
The nonlinear outcome of plasma instabilities range from a gentle reconfiguration of the initial state to an explosive one, and a non-disruptive outcome in between can nevertheless still be a route to turbulence. The literature on thermal instability (TI) reveals that even for a simple homogeneous plasma, all these possibilities can occur, depending on whether the condensations that form evolve in an isobaric or nonisobaric manner. Here we derive several general identities from the evolution equation for entropy that reveals the mechanism by which TI saturates: whenever the boundary of the instability region (the Balbus contour) is crossed, a dynamical change is triggered that causes the comoving time derivative of the pressure to change sign. This temporal event implies that the gas pressure force reverses direction, slowing the continued growth of the condensation. For isobaric evolution, this `pressure reversal’ occurs nearly simultaneously for every fluid element in the condensation and a steady state is quickly reached. For nonisobaric evolution, the condensation is no longer in mechanical equilibrium and the contracting gas rebounds with greater force during the expansion phase that accompanies gas reaching the equilibrium curve. The cloud then pulsates because the return to mechanical equilibrium becomes wave-mediated as a result of the pressure reversal occurring at different times for different locations in the cloud core. We show that both the contraction rebound event and the subsequent pulsation behavior follow analytically from an analysis of the new identities.
T. Waters and D. Proga
Mon, 3 Apr 23
8/53
Comments: 19 pages, 2 figures. Submitted as a contribution to the research topic “Thermal Imbalance and Multiphase Plasmas Across Scales: From the Solar Corona to the Intracluster Medium”