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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics

As of 16 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2504.17422.

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pith.paper-citation-record.v1
2504.17422 v2

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Reference resolution

72 of 72 outbound references displayed

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Outbound references

Observation 8be5856e-4765-453e-8550-5e9ccd7de7db · outbound

This paper cites (42) into Eq.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics (42) into Eq

Reference 1

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Unresolved cited work

Reference 2

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Unresolved cited work

Reference 3

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Observation 9d7dd252-81a7-43ca-a2f5-653e7568c23d · outbound

This paper cites On the multiparticle production in high-energy collisions,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics On the multiparticle production in high-energy collisions,

Reference 4

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This paper cites Hydrodynamic theory of multiple production of particles,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Hydrodynamic theory of multiple production of particles,

Reference 5

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This paper cites Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Das Maxwellsche Gesetz der Geschwindigkeitsverteilung in der Relativtheorie,

Reference 6

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Observation b8aca4f1-523b-455b-9a32-ecec96c5d893 · outbound

This paper cites Die relativistische Quantentheorie des idealen Gases,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Die relativistische Quantentheorie des idealen Gases,

Reference 7

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Observation 0f0768a3-7ec2-4bb2-bbe8-48fab045b45b · outbound

This paper cites Rezzolla and O.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Rezzolla and O

Reference 8

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This paper cites Denicol and Dirk H.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Denicol and Dirk H

Reference 9

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This paper cites General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion

Reference 10

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This paper cites Zum Paradoxon der Warmeleitungstheorie,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Zum Paradoxon der Warmeleitungstheorie,

Reference 13

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Transient relativistic thermodynamics and kinetic theory,

Reference 14

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Stability and causality in dissipative relativistic fluids,

Reference 15

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Generic instabilities in first-order dissipative relativistic fluid theories,

Reference 16

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Linear plane waves in dissipative relativistic fluids,

Reference 17

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Does stability of relativistic dissipative fluid dynamics imply causality?

Reference 18

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Deconfinement transition in anisotropic matter,

Reference 19

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Description of the nuclear stopping process within anisotropic thermo- hydrodynamics,

Reference 20

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Anisotropic Spheres in General Relativity,

Reference 21

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Non-ideal Particle Distributions from Kinetic Freeze Out Models

Reference 22

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Freezeout in hydrodynamical models,

Reference 23

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions

Reference 24

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions

Reference 25

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Non-boost-invariant motion of dissipative and highly anisotropic fluid

Reference 26

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Highly-anisotropic and strongly-dissipative hydrodynamics with transverse expansion

Reference 27

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Testing viscous and anisotropic hydrodynamics in an exactly solvable case

Reference 32

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation

Reference 36

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Higher-order dissipative anisotropic magnetohydrodynamics from the Boltzmann-Vlasov equation,

Reference 37

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Some properties of Boltzmann’s equation for Maxwell molecules,

Reference 38

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Formation of Maxwellian Tails,

Reference 39

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Observation 6cf4fa4d-450e-43b6-a231-efa2855782c3 · outbound

This paper cites Exact solutions of the Boltzmann equation,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Exact solutions of the Boltzmann equation,

Reference 40

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Observation 32f51822-f9b1-4d20-9665-0379a68dbca5 · outbound

This paper cites Analytic solution of the Boltzmann equation in an expanding system.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Analytic solution of the Boltzmann equation in an expanding system

Reference 41

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Observation 286ea51a-a45b-49d0-aa73-13c3e97e1c5d · outbound

This paper cites Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lema\^itre-Robertson-Walker spacetime.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lema\^itre-Robertson-Walker spacetime

Reference 42

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Observation 606e0250-1b15-4386-bee4-1040296507bb · outbound

This paper cites Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation

Reference 43

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Reference 44

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Reference 45

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Observation 01b6e459-1abd-4d05-96d1-ce0196a3f8d1 · outbound

This paper cites A relativistic relaxation-time model for the Boltzmann equation,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics A relativistic relaxation-time model for the Boltzmann equation,

Reference 46

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Observation de4f6158-636d-41a1-8392-e58d30a95c68 · outbound

This paper cites de Groot, W.A.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics de Groot, W.A

Reference 47

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Observation e6fe47a3-795f-4797-91a8-a17c65fcaa22 · outbound

This paper cites Cercignani and G.M.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Cercignani and G.M

Reference 48

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Observation 09e5a939-5720-4d3a-94a2-0025cc38b5e6 · outbound

This paper cites Relativistic hydrodynamics and thermodynamics of anisotropic plasmas,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Relativistic hydrodynamics and thermodynamics of anisotropic plasmas,

Reference 49

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Observation 4b6c4bca-244e-4eba-8074-ba8a01574dc3 · outbound

This paper cites Generally covariant relativistic anisotropic magnetohydrodynamics,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Generally covariant relativistic anisotropic magnetohydrodynamics,

Reference 50

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Observation 994be7ad-28f9-4118-a360-6eb4681d3d74 · outbound

This paper cites Kubo formulas for relativistic fluids in strong magnetic fields.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Kubo formulas for relativistic fluids in strong magnetic fields

Reference 51

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Reference 52

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Observation 2e1edb3d-ec06-4787-98e1-45d328ae2eb8 · outbound

This paper cites Landau and E.M.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Landau and E.M

Reference 53

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Observation 5ae7a65c-79d4-4c9b-a102-9ce13888cda2 · outbound

This paper cites On the relative importance of second-order terms in relativistic dissipative fluid dynamics.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics On the relative importance of second-order terms in relativistic dissipative fluid dynamics

Reference 54

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Observation c80f4d07-5fcc-44d2-a33c-02138d2ff528 · outbound

This paper cites Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Analytical structure of the binary collision integral and the ultrarelativistic limit of transport coefficients of an ideal gas

Reference 55

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Observation 1f19c23a-83e6-4e7f-8435-5da3fedd7a30 · outbound

This paper cites The Thermodynamics of irreversible processes. 3.. Relativistic theory of the simple fluid,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics The Thermodynamics of irreversible processes. 3.. Relativistic theory of the simple fluid,

Reference 56

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Observation 7ca9401b-ecd4-4108-88ec-4a90e49ee076 · outbound

This paper cites A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems,

Reference 57

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Observation 77954676-13d1-43a4-ba90-75a660c54c5f · outbound

This paper cites Transport coefficients of second-order relativistic fluid dynamics in the relaxation-time approximation.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Transport coefficients of second-order relativistic fluid dynamics in the relaxation-time approximation

Reference 58

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Observation 6328e8fb-a33e-47ef-a3a3-243a771170ca · outbound

This paper cites Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,

Reference 59

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Observation 941d8c9d-00a8-4467-a703-340aa54891d8 · outbound

This paper cites Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles

Reference 60

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Observation b8fa7190-c91e-4584-9907-170f37537ad5 · outbound

This paper cites Solving the heat-flow problem with transient relativistic fluid dynamics.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Solving the heat-flow problem with transient relativistic fluid dynamics

Reference 61

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Observation 6ff8ce17-64d8-4a65-b17c-52ee3a9936fe · outbound

This paper cites Shakhov-type extension of the relaxation time approximation in relativistic kinetic theory and second-order fluid dynamics,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Shakhov-type extension of the relaxation time approximation in relativistic kinetic theory and second-order fluid dynamics,

Reference 62

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Observation 72795b78-d97b-4831-a930-b884906f4141 · outbound

This paper cites High-order Shakhov-like extension of the relaxation time approximation in relativistic kinetic theory.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics High-order Shakhov-like extension of the relaxation time approximation in relativistic kinetic theory

Reference 63

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Observation e53762a1-6dda-40d1-9ac1-b4dbbeaf0454 · outbound

This paper cites Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory

Reference 64

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Observation ac518ba6-5443-41c5-9dfb-fcfb14f2561f · outbound

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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Exploring the applicability of dissipative fluid dynamics to small systems by comparison to the Boltzmann equation

Reference 65

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Reference 66

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Reference 67

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Observation fe080ff5-e2ce-43f6-8ba3-9b8917b55cc6 · outbound

This paper cites 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics 3+1d quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions

Reference 68

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Reference 69

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source=pdf_text observed=2026-08-16T10:56:44.946612Z digest=sha256:a5c295dc94f78242ebf8a5ff5d2e2124e83da9151d4cbed2fa63a71f6893c138

Observation e249b3a7-67f3-4af1-a4d3-f9b1a35663fd · outbound

This paper cites Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics

Reference 70

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Reference 71

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This paper cites MaTeX - LaTeX typesetting in Mathematica,.

Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics MaTeX - LaTeX typesetting in Mathematica,

Reference 72

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