Wave turbulence theory of odd fluids and solids: kinetic equations and solutions | Paper Citation Record

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

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This paper cites Let us now integrate this equation with respect tok⊥ on the one hand, andk∥ on the other hand.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Let us now integrate this equation with respect tok⊥ on the one hand, andk∥ on the other hand

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This paper cites This ratio decreases as we go towards the small scales.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions This ratio decreases as we go towards the small scales

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This paper cites At the linear level, Eq.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions At the linear level, Eq

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This paper cites However, in the present case, the ratio of the dissipation timescale τdiss ∼1/(Gk 2)due to shear elasticity with the linear timescaleτlin ∼ω −1 ∼1/(G oddk2)is independent ofk.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions However, in the present case, the ratio of the dissipation timescale τdiss ∼1/(Gk 2)due to shear elasticity with the linear timescaleτlin ∼ω −1 ∼1/(G oddk2)is independent ofk

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This paper cites Below we give an example of a microscopic model which reduces to Eq.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Below we give an example of a microscopic model which reduces to Eq

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This paper cites This is where the main difference between odd viscous fluids and odd elastic solids arises.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions This is where the main difference between odd viscous fluids and odd elastic solids arises

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This paper cites Focusing on the limit of weak non-linearity, i.e.GNL odd ≪G odd, we can therefore apply the framework of weak wave turbulence theory to our system.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Focusing on the limit of weak non-linearity, i.e.GNL odd ≪G odd, we can therefore apply the framework of weak wave turbulence theory to our system

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This paper cites The idea is to perform a change of variable fromA(t, k)to a new variablec(t, k).

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions The idea is to perform a change of variable fromA(t, k)to a new variablec(t, k)

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This paper cites To leading order we still have n(k)δ(k−k ′) =⟨c kc∗ k′⟩.(123) We start from equation (122).

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions To leading order we still have n(k)δ(k−k ′) =⟨c kc∗ k′⟩.(123) We start from equation (122)

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

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This paper cites From here on, we assume that the spectrum is even ink,n(k) =n(−k).

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions From here on, we assume that the spectrum is even ink,n(k) =n(−k)

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions This is called the locality hypothesis

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This paper cites We write ΠN(k) = Z k dk∂tNk ∝ Z k dk k14N5 k ∝ Z k dk k−1 ln−5y(kℓd).(175) This integrates to some power ofln(kℓd), except fory= 1/5for which we obtainΠ N(k)∝ln ln(kℓ d).

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions We write ΠN(k) = Z k dk∂tNk ∝ Z k dk k14N5 k ∝ Z k dk k−1 ln−5y(kℓd).(175) This integrates to some power ofln(kℓd), except fory= 1/5for which we obtainΠ N(k)∝ln ln(kℓ d)

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This paper cites We recall that the integralI(ν)vanishes forν= 3, since this is a stationary solution of the kinetic equation.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions We recall that the integralI(ν)vanishes forν= 3, since this is a stationary solution of the kinetic equation

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions N ª k °3 (b) 10 0 10 1 0 1 ¶ N (k)/

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Zakharov, V

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This paper cites Nazarenko,Wave Turbulence, Lecture Notes in Physics, Vol.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Nazarenko,Wave Turbulence, Lecture Notes in Physics, Vol

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This paper cites Galtier,Physics of Wave Turbulence(Cambridge University Press, 2023).

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier,Physics of Wave Turbulence(Cambridge University Press, 2023)

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Fruchart, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Kono and J

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Scheibner, A

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Veenstra, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Shankar and L

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Benney and P

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Newell, Rev

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Zakharov and N

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Yarom and E

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier and S

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Düring, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Meyrand, K

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Hassaini, N

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Le Reun, B

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Monsalve, M

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier and S

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Ricard and E

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Falcon and N

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Griffin, G

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Rodda, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions David, S

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Khain, C

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Avron, J

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Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

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This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 66

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Observation a514b4ae-8fee-40b7-a30a-f8df9b92c009 · outbound

This paper cites Goldreich and S.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Goldreich and S

Reference 67

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Observation be3a3581-b278-4e27-95aa-3ad9976e3a8b · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation 8b87c871-da54-409d-99eb-f83a4dea2e53 · outbound

This paper cites Oughton and W.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Oughton and W

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation 9b9d6416-3128-439c-ae00-7ad87cdf1c43 · outbound

This paper cites Zhou, Phys.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Zhou, Phys

Reference 70

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Observation 6f212415-9510-438c-b6b1-08d61d2bc620 · outbound

This paper cites Alexakis and L.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Alexakis and L

Reference 71

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Observation 76e922c5-2b11-4533-b131-d41c4bb4acbb · outbound

This paper cites Shaltiel, A.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Shaltiel, A

Reference 72

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Observation 6fe21232-ed3e-44f2-86bc-26c33d68cb03 · outbound

This paper cites Galtier, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier, J

Reference 73

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Observation b717bbff-8feb-46ff-9582-c0933b0b9639 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 74

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Observation e0062c52-0d43-43e1-ba87-90939f7a4036 · outbound

This paper cites Waleffe, Phys.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Waleffe, Phys

Reference 75

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Observation bda0b271-c82a-40a3-a1cc-45e283043e73 · outbound

This paper cites Turner, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Turner, J

Reference 76

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Observation 1065eb70-7cda-4749-802c-f1392e4db565 · outbound

This paper cites Galtier, Phys.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier, Phys

Reference 77

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Observation 570ca93e-61dd-4994-9f5d-c87fc2746dbc · outbound

This paper cites Galtier, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier, J

Reference 78

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Observation 75b4ed55-39a8-4c54-b1ee-3d0cd6f53d9a · outbound

This paper cites Galtier, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Galtier, J

Reference 79

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Observation 476bdbe3-d770-449b-a0f1-7eb1ccfba14c · outbound

This paper cites Nazarenko and A.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Nazarenko and A

Reference 80

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Observation 0ae2a6c4-deca-4331-998d-a6220b662a61 · outbound

This paper cites Biskamp, E.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Biskamp, E

Reference 81

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Observation ec53bfb7-5c81-48bb-9075-984bc5cf0d04 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 82

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Observation 5eabffa2-6b71-4a05-b094-559ce7515192 · outbound

This paper cites Catheline, J.-L.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Catheline, J.-L

Reference 83

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Observation e2b3ae7e-1c32-4b49-8964-d32bfe6955bc · outbound

This paper cites Catheline, J.-L.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Catheline, J.-L

Reference 84

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Observation 343fbd33-8fff-489b-85bc-6d7853b15482 · outbound

This paper cites Jacob, S.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Jacob, S

Reference 85

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Observation 8a62edfc-236f-407d-8eea-b91a513a5757 · outbound

This paper cites Destrade, E.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Destrade, E

Reference 86

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Observation 5545e677-b285-4d06-99f8-b5ea31cc8b7b · outbound

This paper cites Apsite, S.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Apsite, S

Reference 87

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Observation d813b08a-9bc5-4431-9dde-8dbe341f1fab · outbound

This paper cites Mirfakhrai, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Mirfakhrai, J

Reference 88

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Observation 2f13b50e-8a02-4caa-9a9b-5f888479a950 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 89

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation 58bb3b51-6351-4d4f-a19e-dd9afb091659 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 90

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation fc53171b-ce6d-4376-aa5b-307e87c25cb2 · outbound

This paper cites Chung, J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Chung, J

Reference 91

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation dbb6aa7e-1bb1-4d7e-a105-26a72fa4d0d4 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 92

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation 0a932cab-2e2c-48ed-9954-cdf65fa27c34 · outbound

This paper cites Reynolds and Alejandro J.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Reynolds and Alejandro J

Reference 93

Resolution: verified exact; doi, observed 2026-06-27T04:40:32.104603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8efe6721-4a35-47d3-ad20-41b68cc53806 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 94

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Observation ceef531b-a5f0-436c-9b9c-d7be4f1801fc · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 95

Resolution: unresolved; no resolver link, observed 2026-06-27T04:38:31.132309Z

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Observation 12edf3e8-7d75-417f-8486-cb72488ff37a · outbound

This paper cites Düring, C.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Düring, C

Reference 96

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Observation 12a7862a-bb7e-43df-815e-46658a8302d3 · outbound

This paper cites Miquel and N.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Miquel and N

Reference 97

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Observation 49667370-50ba-4995-8d69-37ca0b6e2d2d · outbound

This paper cites Miquel, A.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Miquel, A

Reference 98

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Observation 96a16f63-2073-4bfd-8227-0b8f10af8afd · outbound

This paper cites Humbert, O.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Humbert, O

Reference 99

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Observation ee657a0e-7222-4e5b-9bf6-11fe216cf9c4 · outbound

This paper cites an unresolved cited work.

Wave turbulence theory of odd fluids and solids: kinetic equations and solutions Unresolved cited work

Reference 100

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