Spontaneous charge separation in accelerating relativistic plasmas
arXiv:2508.08936 · doi:10.1103/3hky-j4gp
Abstract
The Stewart-Tolman effect posits that accelerating conductors exhibit both charge separation and rest-frame electric fields (``inertia of charge''), while the Ehrenfest-Tolman effect states that acceleration induces temperature gradients (``inertia of heat''). We study the interplay of these effects in thermodynamic equilibrium. Specifically, we derive from first principles a partial differential equation governing the electrothermal stratification of a fully ionized plasma in equilibrium under irrotational relativistic accelerations in curved spacetime. We then solve it in two settings: a plasma enclosed in a uniformly accelerated box, and a plasma shell suspended above a black hole horizon. The resulting electric fields are found not to depend on the electric conductivity of the medium.
12 pages, 4 captioned figures, comments welcome!
References in corpus (8)
- Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
- Applying the Gibbs stability criterion to relativistic hydrodynamics
- Extensivity, entropy current, area law and Unruh effect
- Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
- Universality Classes of Relativistic Fluid Dynamics: Foundations
- Proving the Lorentz invariance of the entropy and the covariance of thermodynamics
- Stability of multicomponent Israel-Stewart-Maxwell theory for charge diffusion
- Promoting Fluctuation Theorems into Covariant Forms