Pith Number

pith:SNLVWPGU

pith:2026:SNLVWPGU2A2SZRNU2ROWODTWEQ

not attested not anchored not stored refs pending

Dean-Kawasaki fluctuating hydrodynamics for backscattering hard rods

Mrinal Jyoti Powdel

Backscattering hard rods switch from ballistic to diffusive spreading in their two-time density correlations after the velocity flip timescale.

arxiv:2604.21553 v2 · 2026-04-23 · cond-mat.stat-mech

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\pithnumber{SNLVWPGU2A2SZRNU2ROWODTWEQ}

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We show using a Dean-Kawasaki fluctuating hydrodynamic formulation that for t ≫ 1/γ, the two-time density density correlation spreads in a diffusive manner, and for t ≪ 1/γ, the correlation spreads ballistically.

C2weakest assumption

The Dean-Kawasaki fluctuating hydrodynamics remains a valid description of the density fluctuations even after the integrability-breaking velocity-flipping perturbation is introduced.

C3one line summary

Backscattering hard rods show a crossover in two-time density-density correlations from ballistic spreading at t much less than 1/gamma to diffusive spreading at t much greater than 1/gamma.

Receipt and verification

First computed	2026-05-29T01:05:10.320929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93575b3cd4d0352cc5b4d45d670e7624316855fd5c1e323d763b617ed0845e56

Aliases

arxiv: 2604.21553 · arxiv_version: 2604.21553v2 · doi: 10.48550/arxiv.2604.21553 · pith_short_12: SNLVWPGU2A2S · pith_short_16: SNLVWPGU2A2SZRNU · pith_short_8: SNLVWPGU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SNLVWPGU2A2SZRNU2ROWODTWEQ \
  | jq -c '.canonical_record' \
  | 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: 93575b3cd4d0352cc5b4d45d670e7624316855fd5c1e323d763b617ed0845e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5f357083edaf2968e57ff5048d929403893c3391da970b618c09d5a837db40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-23T11:25:48Z",
    "title_canon_sha256": "4c4e3b02971ec23efc49eea05c1db01e12ef245f5388da4b3c2ca86dcdb6b369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21553",
    "kind": "arxiv",
    "version": 2
  }
}