Anisotropic hydrodynamics with number-conserving kernels

D. Almaalol; M. Alqahtani; M. Strickland

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Anisotropic hydrodynamics with number-conserving kernels

D. Almaalol, M. Alqahtani, M. Strickland

Nuclear Theory · Submitted 21 Aug 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the aHydro dynamics receives quantitatively important corrections when enforcing number conservation, however, the aHydro attractor itself is not modified substantially.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,989 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.37 · human participants 0.01 · controlled comparison 0.53 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.95 · mentions code or data availability 0.02.

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We compare anisotropic hydrodynamics (aHydro) results obtained using the relaxation-time approximation (RTA) and leading-order (LO) scalar \lambda \phi^4 collisional kernels. We extend previous work by explicitly enforcing number conservation through the incorporation of a dynamical chemical potential (fugacity) in the underlying aHydro distribution function. We focus on the case of a transversally homogenous and boost-invariant system obeying classical statistics and compare the relevant moments of the two collisional kernels. We then compare the time evolution of the aHydro microscopic parameters and components of the energy-momentum tensor. We also determine the non-equilibrium attractor using both the RTA and LO conformal \lambda \phi^4 number-conserving kernels. We find that the aHydro dynamics receives quantitatively important corrections when enforcing number conservation, however, the aHydro attractor itself is not modified substantially.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We compare anisotropic hydrodynamics (aHydro) results obtained using the relaxation-time approximation (RTA) and leading-order (LO) scalar \lambda \phi^4 collisional kernels.	contribution 0.76	0.90	0.03	asserted 0.87
s1	We extend previous work by explicitly enforcing number conservation through the incorporation of a dynamical chemical potential (fugacity) in the underlying aHydro distribution function.	contribution 0.93	0.93	0.04	asserted 0.98
s2	We focus on the case of a transversally homogenous and boost-invariant system obeying classical statistics and compare the relevant moments of the two collisional kernels.	method 0.89	0.73	0.02	asserted 0.84
s3	We then compare the time evolution of the aHydro microscopic parameters and components of the energy-momentum tensor.	contribution 0.56	0.93	0.03	asserted 0.73
s4	We also determine the non-equilibrium attractor using both the RTA and LO conformal \lambda \phi^4 number-conserving kernels.	contribution 0.68	0.94	0.05	asserted 0.95
s5	We find that the aHydro dynamics receives quantitatively important corrections when enforcing number conservation, however, the aHydro attractor itself is not modified substantially.	result 0.99	0.96	0.92	asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.92 · evidence from simulation or computation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

We compare anisotropic hydrodynamics (aHydro) results obtained using the relaxation-time approximation (RTA) and leading-order (LO) scalar \lambda \phi^4 collisional kernels. We extend previous work by explicitly enforcing number conservation through the incorporation of a dynamical chemical potential (fugacity) in the underlying aHydro distribution function. We focus on the case of a transversally homogenous and boost-invariant system obeying classical statistics and compare the relevant moments of the two collisional kernels. We then compare the time evolution of the aHydro microscopic parameters and components of the energy-momentum tensor. We also determine the non-equilibrium attractor using both the RTA and LO conformal \lambda \phi^4 number-conserving kernels. We find that the aHydro dynamics receives quantitatively important corrections when enforcing number conservation, however, the aHydro attractor itself is not modified substantially.

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References

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7 arXiv papers cite this in 10 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 24 sentences without a confident label

Builds on 3 papers

In this work, we extend the analysis presented in Ref. [ref] by enforcing number conservation using both the RTA and LO massless $λϕ^4$ kernels.

Anisotropic hydrodynamics with a scalar collisional kernel · Introduction · 1.00
In both cases, we generalize the Romatschke-Strickland form [ref] to include a dynamical chemical potential.

Collective Modes of an Anisotropic Quark-Gluon Plasma · Introduction · 0.91
In both cases, we generalize the Romatschke-Strickland form [ref] to include a dynamical chemical potential.

Collective modes of an Anisotropic Quark-Gluon Plasma II · Introduction · 0.91

Compares with 1 paper

We will compare results obtained from our prior work [ref] which assumed $μ=0$ ($γ=1$) using both the RTA [ref] and scalar [ref] collisional kernels.

Anisotropic hydrodynamics with a scalar collisional kernel · Results · 0.96

Cites as background 14 papers

In the anisotropic hydrodynamics (aHydro) framework [ref] , for example, most papers to date have used the relaxation-time approximation (RTA) for the collisional kernel [ref] .

Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions · Introduction · 0.85
In the anisotropic hydrodynamics (aHydro) framework [ref] , for example, most papers to date have used the relaxation-time approximation (RTA) for the collisional kernel [ref] .

Relativistic anisotropic hydrodynamics · Introduction · 0.85
In the anisotropic hydrodynamics (aHydro) framework [ref] , for example, most papers to date have used the relaxation-time approximation (RTA) for the collisional kernel [ref] .

Dissipative Dynamics of Highly Anisotropic Systems · Introduction · 0.85

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