Paper Citation Record · LEDGER

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2501.08634.

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pith.paper-citation-record.v1
2501.08634 v4

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measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T20:27:13.269232Z

measured 45 of 45 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Outbound references

Observation c19b8934-6cc7-4fe2-83a8-9ea2d05146db · outbound

This paper cites The first few orders of them represent the components of the traditional velocity moment[3], denoted by the symbol<··· ,𝑓 >=𝑚𝑎 ´ 𝑣(··· )𝑓(𝑟, 𝑣,𝑡 )d𝑣.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space The first few orders of them represent the components of the traditional velocity moment[3], denoted by the symbol<··· ,𝑓 >=𝑚𝑎 ´ 𝑣(··· )𝑓(𝑟, 𝑣,𝑡 )d𝑣

Reference 1

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Observation cbaa4049-c580-458e-b58e-c871ab95d00f · outbound

This paper cites (33), 𝜕 𝜕𝑡ℳ0,0 (𝑧,𝑡 ) = −1 3 𝜕 𝜕𝑧ℳ1,1, (63) 𝜕 𝜕𝑡ℳ1,1 (𝑧,𝑡 ) = − 𝜕 𝜕𝑧 (︂ ℳ2,0 + 2 5ℳ2,2 )︂ + 3𝑍𝑎 𝑚𝑎 𝐸𝑧ℳ0,0, (64) 𝜕 𝜕𝑡ℳ2,0 (𝑧,𝑡 ) = −1 3 𝜕 𝜕𝑧ℳ3,1 + 2 3 𝑍𝑎 𝑚𝑎 𝐸𝑧ℳ1,1.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space (33), 𝜕 𝜕𝑡ℳ0,0 (𝑧,𝑡 ) = −1 3 𝜕 𝜕𝑧ℳ1,1, (63) 𝜕 𝜕𝑡ℳ1,1 (𝑧,𝑡 ) = − 𝜕 𝜕𝑧 (︂ ℳ2,0 + 2 5ℳ2,2 )︂ + 3𝑍𝑎 𝑚𝑎 𝐸𝑧ℳ0,0, (64) 𝜕 𝜕𝑡ℳ2,0 (𝑧,𝑡 ) = −1 3 𝜕 𝜕𝑧ℳ3,1 + 2 3 𝑍𝑎 𝑚𝑎 𝐸𝑧ℳ1,1

Reference 2

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Observation 73af095b-3430-4711-945c-a3839dd17ae8 · outbound

This paper cites (6) will converge rapidly.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space (6) will converge rapidly

Reference 3

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Observation 8abbf8ca-78d3-4948-95e6-8ab2a9c44800 · outbound

This paper cites According to this hypothesis, it is assumed that the𝑙𝑡ℎ-order amplitude distribution has distinguish- able independent features with a number of 𝑁𝑙.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space According to this hypothesis, it is assumed that the𝑙𝑡ℎ-order amplitude distribution has distinguish- able independent features with a number of 𝑁𝑙

Reference 4

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Observation 6f34e8d1-279a-4af7-8f9d-8f79ffc7268c · outbound

This paper cites Similar to solving the Vlasov equation and the traditional moment theory, KMCM can be addressed by constructing specific numerical algorithms of different levels.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Similar to solving the Vlasov equation and the traditional moment theory, KMCM can be addressed by constructing specific numerical algorithms of different levels

Reference 5

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Observation 9b8f5915-862a-4e65-b383-2f0eb3a5cbe8 · outbound

This paper cites It can be further extended to the general velocity space case with nonlinear Fokker-Planck collision terms (3D-3V VFP).

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space It can be further extended to the general velocity space case with nonlinear Fokker-Planck collision terms (3D-3V VFP)

Reference 6

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Observation ff3c6ea8-8a8c-4b76-8eaf-509e7350894b · outbound

This paper cites As a moment approach, KMCM possesses its diverse advantages.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space As a moment approach, KMCM possesses its diverse advantages

Reference 7

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 8

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Observation 25586ad9-ea53-41ee-8cb4-dca7d457297d · outbound

This paper cites org/10.1070/PU1968v010n06ABEH003709.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space org/10.1070/PU1968v010n06ABEH003709

Reference 9

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Observation 17aa15c6-cb79-46be-8d6e-692620fdfa97 · outbound

This paper cites org/10.1103/PhysRev.120.1103.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space org/10.1103/PhysRev.120.1103

Reference 10

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 11

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 12

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 13

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 14

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 15

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 16

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Observation 1da88b01-0511-4b4f-85dd-47233503ed4c · outbound

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 17

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Observation f5ec4a49-58fd-4d63-9407-6b11e9481f41 · outbound

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 18

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 19

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 21

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 22

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Observation 89b3512d-c544-4aa7-be88-219ba3b3c387 · outbound

This paper cites Higher-order moment convergent method in weakly anisotropic plasma and the NLVFP code for solution of the 0D-2V Vlasov-Fokker-Planck equation.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Higher-order moment convergent method in weakly anisotropic plasma and the NLVFP code for solution of the 0D-2V Vlasov-Fokker-Planck equation

Reference 23

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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This paper cites org/10.1029/RG015i004p00429.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space org/10.1029/RG015i004p00429

Reference 25

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 27

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 30

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space 1007/978-3-030-36848-7

Reference 37

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

Reference 38

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This paper cites A conservative, implicit solver for 0D-2V multi-species nonlinear Fokker-Planck collision equations.

Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space A conservative, implicit solver for 0D-2V multi-species nonlinear Fokker-Planck collision equations

Reference 39

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Observation 7ba8e16e-ef8c-4a03-88fd-7ad6aba485f2 · outbound

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space Unresolved cited work

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