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pith:46LYVYFB

pith:2026:46LYVYFBBXM5WTF6GU2VOIII3K

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Theory of Rayleigh molecular light scattering by isotropic polar fluids revisited

P.M. D\'ejardin

Adapting local field concepts to propagating waves yields simple analytical equations for Rayleigh scattering ratios in isotropic polar fluids.

arxiv:2605.13495 v1 · 2026-05-13 · cond-mat.stat-mech

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Claims

C1strongest claim

Simple analytical equations are derived for the various Rayleigh ratios relevant to lateral light scattering in various situations, namely pure DID, pure rotations and mixed contributions.

C2weakest assumption

The rotational mean field approximation is justified and allows the Rayleigh ratios to be expressed in terms of a single orientational correlation parameter obtained as the positive root of a quadratic algebraic equation.

C3one line summary

Analytical Rayleigh ratios for pure DID, pure rotations, and mixed cases in isotropic polar fluids are derived via adapted local fields and a mean-field rotational approximation.

References

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[1] proposed a new setup (the so-called Brice-Phoenix setup, see the paper by these authors and Reference 1 for a review) which allowed for the first time to measure absolutescattered intensities. The Ein

[2] and Pecora and Steele [ 25] established a number of relations between scattered intensities (therefore, between Rayleigh ratios) corresponding to various polarizations of the incident and scattered wa

[3] were able to relate Ran to (ρ0∂ρ0 n2)T for anisotrop- ically polarizable scatterers. Their equation is, for 90 ◦ light scattering (also termed lateral light scattering) Ran = 13π2κ2G 10ρ0λ4 0 ( ρ0 ∂n2

[4] This has lead us to Eq

[5] concerning this cross-coupling term. Then, Eq. (10) is perfectly justified, differing from Frenkel and McTague’s simulation work by a factor L2 as far as the rotational term is concerned and Rayleigh

Formal links

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Receipt and verification

First computed	2026-05-18T02:44:41.097543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7978ae0a10dd9db4cbe3535572108dabb779839c732303fd1ef85cb7565e45c

Aliases

arxiv: 2605.13495 · arxiv_version: 2605.13495v1 · doi: 10.48550/arxiv.2605.13495 · pith_short_12: 46LYVYFBBXM5 · pith_short_16: 46LYVYFBBXM5WTF6 · pith_short_8: 46LYVYFB

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/46LYVYFBBXM5WTF6GU2VOIII3K \
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  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7978ae0a10dd9db4cbe3535572108dabb779839c732303fd1ef85cb7565e45c

Canonical record JSON

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    "abstract_canon_sha256": "1a66af4535ca15048acdf5361cc31b6b99169e378a94011bc7e18d4a5db0947a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T13:19:44Z",
    "title_canon_sha256": "f014cb416504fbcdbf56db839bf2b05ed664c1d4c2aa0e5612a740891c3c196f"
  },
  "schema_version": "1.0",
  "source": {
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    "kind": "arxiv",
    "version": 1
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}