Nuclear Theory · arXiv:2001.07983 v2 · submitted 22 Jan 2020
Equivalence between first-order causal and stable hydrodynamics and Israel-Stewart theory for boost-invariant systems with a constant relaxation time
The paper says
“We show that the recently formulated causal and stable first-order hydrodynamics has the same dynamics as Israel-Stewart theory for boost-invariant, Bjorken expanding systems with a conformal equation of state and a regulating sector determined by a constant relaxation time.”
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The paper
Abstract
We show that the recently formulated causal and stable first-order hydrodynamics has the same dynamics as Israel-Stewart theory for boost-invariant, Bjorken expanding systems with a conformal equation of state and a regulating sector determined by a constant relaxation time. In this case, the general solution of the new first-order formulation can be determined analytically.
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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 0.05 · states limitation 0.57 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.88 · 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 |
|---|---|---|---|---|
| We show that the recently formulated causal and stable first-order hydrodynamics has the same dynamics as Israel-Stewart theory for boost-invariant, Bjorken expanding systems with a conformal equation of state and a regulating sector determined by a constant relaxation time. | result 0.94 | 0.93 | 0.94 | asserted 1.00 |
| In this case, the general solution of the new first-order formulation can be determined analytically. | result 0.95 | 0.80 | 0.08 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
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- arXiv listing abstract v2
Not examined
- full text
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- references and citing sentences
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- P abstract
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- S sections
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- C citations
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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, 2,324 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 5 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Mathematical foundations and numerical simulations of BDNK hydrodynamics: from heavy-ion collisions to astrophysics nucl-th · Nov 2026
- First-Order General-Relativistic Viscous Fluid Dynamics gr-qc · Sep 2020
- Nonlinear Constraints on Relativistic Fluids Far From Equilibrium hep-th · May 2020
- Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach nucl-th · Nov 2020
- Correspondence between hydrodynamic frames, transport coefficients, and hydrodynamic modes in relativistic fluids nucl-th · Aug 2026
How the literature uses it
10 arXiv papers cite this in 11 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 6 papers
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Frame-stabilized formulations within first-order theory, along with their correspondence to second-order descriptions, are discussed in Refs. [ref] .
Correspondence between hydrodynamic frames, transport coefficients, and hydrodynamic modes in relativistic fluids · Introduction · 0.89
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The stability and causality of the first order hydrodynamics has been discussed extensively in the literature, over the past few years [ref] .
On the correlation functions in stable first-order relativistic hydrodynamics · First-order stable conformal hydrodynamics · 0.99
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Recently, there are some new developments in the formulation of first-order casual and theories which is claimed causal and stable in a restricted sense [ref] .
Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach · Introduction · 0.81
What it cites · 35 sentences without a confident label
Uses data or values from 1 paper
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However, this coefficient is known in the 14-moment approximation to be equal to 10/21 [ref] , while the shear viscosity is given by $η= 4 ετ_R/15$.
Derivation of transient relativistic fluid dynamics from the Boltzmann equation · Constraints from causality and linear stability in the FOCS formulation · 0.97
Compares with 1 paper
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The param-etrization of the Ricatti equation found in the conformal case in [ref] uses a function $χ$ that is related to our parametrization through the formula
Causality and existence of solutions of relativistic viscous fluid dynamics with gravity · Comparison between the two frameworks · 0.96
Cites as background 25 papers
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Also, linear stability conditions around equilibrium were discussed in both [ref] and [ref] .
Nonlinear causality of general first-order relativistic viscous hydrodynamics · Constraints from causality and linear stability in the FOCS formulation · 0.83
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Also, linear stability conditions around equilibrium were discussed in both [ref] and [ref] .
First-order relativistic hydrodynamics is stable · Constraints from causality and linear stability in the FOCS formulation · 0.83
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Formal studies of hydrodynamics have led to very interesting observations such as the asymptotic character of the hydrodynamic gradient expansion [ref] or the existence of hydrodynamic attractors [ref] .
The non-equilibrium attractor for kinetic theory in relaxation time approximation · Introduction · 0.96
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