High Energy Astrophysical Phenomena · arXiv:2603.25669 v2 · submitted 26 Mar 2026
Double-Adiabatic Equations of State for Relativistic Plasmas
The paper says
“We extend the latter to the relativistic regime, finding that their exact functional form depends on the pressure anisotropy and is not a simple power law.”
from the abstract · picked out as the main claim by a classifier
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Abstract
The adiabatic equation of state P ∝ nΓ describes the pressure evolution of highly collisional, isotropic plasmas in terms of their density, providing a possible closure of the fluid moment hierarchy in the absence of heat fluxes and dissipation. An analogous closure exists for collisionless, magnetised plasmas, whose pressure tensor is anisotropic with respect to the magnetic field, and the closure is therefore double adiabatic, prescribing the evolution of the parallel and perpendicular pressures in terms of the magnetic-field strength and density. Here, we present a general first-principle formalism to derive adiabatic laws using the symmetries of the system. With this theory we recover the adiabatic equation of state P ∝ nΓ for isotropic plasmas and the double-adiabatic equations of state for collisionless, magnetised plasmas. We extend the latter to the relativistic regime, finding that their exact functional form depends on the pressure anisotropy and is not a simple power law. Our double-adiabatic equations of state describe simple geometries, like magnetic mirrors or compressed homogeneous plasmas, as well as complex high-energy astrophysical processes, such as the evolution of plasmoid structures formed during magnetic reconnection.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.65 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.73 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The adiabatic equation of state $P \propto n^{\Gamma}$ describes the pressure evolution of highly collisional, isotropic plasmas in terms of their density, providing a possible closure of the fluid moment hierarchy in the absence of heat fluxes and dissipation. | background 1.00 | 0.05 | 0.04 | asserted 0.57 |
| An analogous closure exists for collisionless, magnetised plasmas, whose pressure tensor is anisotropic with respect to the magnetic field, and the closure is therefore double adiabatic, prescribing the evolution of the parallel and perpendicular pressures in terms of the magnetic-field strength and density. | background 1.00 | 0.05 | 0.07 | asserted 1.00 |
| Here, we present a general first-principle formalism to derive adiabatic laws using the symmetries of the system. | contribution 0.59 | 0.90 | 0.08 | asserted 0.99 |
| With this theory we recover the adiabatic equation of state $P \propto n^{\Gamma}$ for isotropic plasmas and the double-adiabatic equations of state for collisionless, magnetised plasmas. | result 0.74 | 0.92 | 0.20 | asserted 1.00 |
| We extend the latter to the relativistic regime, finding that their exact functional form depends on the pressure anisotropy and is not a simple power law. | result 0.97 | 0.96 | 0.57 | asserted 1.00 |
| Our double-adiabatic equations of state describe simple geometries, like magnetic mirrors or compressed homogeneous plasmas, as well as complex high-energy astrophysical processes, such as the evolution of plasmoid structures formed during magnetic reconnection. | interpretation 0.50 | 0.63 | 0.16 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from proof or derivation 1.00
What was examined, and what was not
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- arXiv listing abstract v2
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- P abstract
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How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,216 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Nonlinearly Causal General-Relativistic Two-Fluid Dissipative Magnetohydrodynamics astro-ph.HE · Sep 2026
How the literature uses it
1 arXiv paper cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Compares with it 1 paper
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The results of [ref] are similar but they use general symmetry principles in phase space to obtain these results.
Kinetic magnetohydrodynamics and Landau fluid closure in relativity · Comparison to recent weakly collisional models · 1.00
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