Pith Number

pith:TCPIKRQ2

pith:2026:TCPIKRQ2Z3V42HZASIHZGEIMAH

not attested not anchored not stored refs resolved

Staggering domino-like blast front motion in a one-dimensional cold gas

Krzysztof Pilorz, Taras Holovatch, Yurij Holovatch, Yuri Kozitsky

For an infinite family of special mass ratios, a one-dimensional alternating particle chain with equidistant spacing admits an exact solution where the blast front advances ballistically because only one triplet of particles moves at any时刻.

arxiv:2605.16125 v1 · 2026-05-15 · cond-mat.stat-mech · nlin.CD · physics.flu-dyn

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Claims

C1strongest claim

For an infinite family of mass ratios M_k the dynamics admit an exact solution in which at each moment only a single triplet m, μ, m is in motion, all other particles are at rest, and the shock front moves ballistically with average velocity equal to the initial one.

C2weakest assumption

The initial positions are exactly equidistant (or otherwise non-random) and the mass ratio is tuned precisely to one of the discrete values M_k; any deviation from these exact conditions is assumed to destroy the staggered-triplet regime.

C3one line summary

Exact solution for specific mass ratios in 1D alternating-mass elastic chain shows ballistic shock-front motion via staggered triplet dynamics instead of hydrodynamic scaling.

References

52 extracted · 52 resolved · 0 Pith anchors

[1] The exponents corresponding to other observables, obtained in a similar way, are also listed in Table I

[2] Note that H(t) = 0 for all t > 0 for the degenerate domino dynamics

[3] By combining the latter with (

[4] Note that for m = 2, α is much smaller than γ, which means that the increase of the latter sum is much slower than that of ∑ l≥ 0 ml|ul(t)|

[5] Then A := A1A0 =    θ 1 − θ 0 − θ(1 + θ) θ2 1 + θ 1 − θ2 − θ(1 − θ) θ    (16) 8 describes the complete round of collisions

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:53.908875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989e85461aceebcd1f20920f93110c01f3dace93965ad3900b8879861f63d896

Aliases

arxiv: 2605.16125 · arxiv_version: 2605.16125v1 · doi: 10.48550/arxiv.2605.16125 · pith_short_12: TCPIKRQ2Z3V4 · pith_short_16: TCPIKRQ2Z3V42HZA · pith_short_8: TCPIKRQ2

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TCPIKRQ2Z3V42HZASIHZGEIMAH \
  | 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: 989e85461aceebcd1f20920f93110c01f3dace93965ad3900b8879861f63d896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66054c032dfd57061a58396b87865dc245ea8aa47d185aeecc4f603c32853348",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-15T16:10:07Z",
    "title_canon_sha256": "e167a593a417a70aaf1180a5c0e1649ca58d4c0b10e39646ae0e7cba5f0263c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16125",
    "kind": "arxiv",
    "version": 1
  }
}