Pith Number

pith:WKYJY2RR

pith:2026:WKYJY2RR5B7Y6VOBW4BFWGSEXH

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Front propagation in non-homogeneous $\phi^4$ model

Dominika Lasa, Jacek Gatlik, Panayotis G. Kevrekidis, Tomasz Dobrowolski

A modified effective model accurately reproduces half-kink propagation in the inhomogeneous φ⁴ model.

arxiv:2605.15826 v1 · 2026-05-15 · nlin.PS · hep-ph

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\pithnumber{WKYJY2RR5B7Y6VOBW4BFWGSEXH}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

A modified effective model reproduces the field-theory results for half-kink propagation in the inhomogeneous φ⁴ model over a relatively broad range of parameters.

C2weakest assumption

The modeling choice that inhomogeneity enters solely through a position-dependent dissipation coefficient while leaving the potential and other terms unchanged, allowing a consistent modification of the effective description without new inconsistencies in the reduced dynamics.

C3one line summary

In the non-homogeneous φ⁴ model, standard effective kink descriptions match field results well, but half-kink descriptions require a modified effective model to reproduce the full field-theory propagation speeds and profiles over a broad parameter range.

References

49 extracted · 49 resolved · 0 Pith anchors

[1] Double sine-Gordon class of universal coarsening dynamics in a spin-1 Bose gas , author =. Phys. Rev. A , volume =. 2025 , month =. doi:10.1103/df5w-3yfd , url = 2025 · doi:10.1103/df5w-3yfd

[2] Propagating Ferrodark Solitons in a Superfluid: Exact Solutions and Anomalous Dynamics , author =. Phys. Rev. Lett. , volume =. 2022 , month =. doi:10.1103/PhysRevLett.128.125301 , url = 2022 · doi:10.1103/physrevlett.128.125301

[3] Panayotis G. Kevrekidis and Jes. A Dynamical Perspective on the. 2019 , doi = 2019

[4] Dark-soliton-like magnetic domain walls in a two-dimensional ferromagnetic superfluid , author =. Phys. Rev. Res. , volume =. 2021 , month =. doi:10.1103/PhysRevResearch.3.023043 , url = 2021 · doi:10.1103/physrevresearch.3.023043

[5] doi:10.1103/PhysRevD.105.065012 , url = · doi:10.1103/physrevd.105.065012

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:20.508885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b09c6a31e87f8f55c1b7025b1a44b9e0b59969a5d7550d35b47b8ce75e7bed

Aliases

arxiv: 2605.15826 · arxiv_version: 2605.15826v1 · doi: 10.48550/arxiv.2605.15826 · pith_short_12: WKYJY2RR5B7Y · pith_short_16: WKYJY2RR5B7Y6VOB · pith_short_8: WKYJY2RR

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKYJY2RR5B7Y6VOBW4BFWGSEXH \
  | 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: b2b09c6a31e87f8f55c1b7025b1a44b9e0b59969a5d7550d35b47b8ce75e7bed

Canonical record JSON

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    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2026-05-15T10:26:04Z",
    "title_canon_sha256": "00f4e5b3e99635c80c9a5c7f0d4e7a16570eafa7764b85092c955729288ac94d"
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    "kind": "arxiv",
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