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pith:EG6B5IWE

pith:2026:EG6B5IWEQZZ32GIISICK5TPHPM

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Phase Ordering in a few O(n) Symmetric Models: Slow Growth, Mpemba Effect and Experimental Relevance

Nalina Vadakkayil, Sohini Chatterjee, Subir K. Das, Wasim Akram

In the 3D XY model, characteristic length grows as t to the 0.15 after zero-temperature quench because vortex cores form line defects whose annihilation sets the pace, and quenches from higher starting temperatures reach equilibrium faster.

arxiv:2605.13564 v1 · 2026-05-13 · cond-mat.stat-mech

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Claims

C1strongest claim

In the long-time limit, the associated characteristic length scale, ℓ(t), appears to grow with time (t) approximately as t^{0.15}, for Tf=0. The exponent is much smaller... than 1/2... We carry out quenches from different starting temperatures, Ts... It is observed that the systems with higher Ts approach the final equilibrium faster. This resembles the puzzling Mpemba effect.

C2weakest assumption

The identification of line defects formed by vortex cores joining across planes and the assumption that their annihilation directly sets the measured growth exponent without significant finite-size or lattice artifacts dominating the long-time regime.

C3one line summary

Simulations find slow t^0.15 growth in 3D XY phase ordering at zero temperature and Mpemba-like faster equilibration from higher initial temperatures in XY and Ising models.

References

77 extracted · 77 resolved · 1 Pith anchors

[1] E. B. Mpemba and D. G. Osborne, Cool?, Phys. Educ. 4, 172 (1969) 1969

[2] Z. Tang, W. Huang, Y. Zhang, Y. Liu, and L. Zhao, Direct obs ervation of the Mpemba eﬀect with water: Probe the mysterious heat transfer, InfoMat 5, e12352 (2023) . 12 2023

[3] H. C. Burridge and O. Hallstadius, Observing the Mpemba e ﬀect with minimal bias and the value of the Mpemba eﬀect to scientiﬁc outreach and engagement, Proc. R. Soc. A 476, 20190829 (2020) 2020

[4] S. Ghosh, P. Pathak, S. Chatterjee, and S. K. Das, Simulat ions of Mpemba eﬀect in water and Lennard-Jones models, Commun. Phys. 8, 359 (2025) 2025

[5] G. Teza, J. Bechhoefer, A. Lasanta, O. Raz, and M. Vucelja , Speedups in nonequilibrium thermal relaxation: Mpemba and related eﬀects, Phys. Rep. 1164, 1 (2026) 2026

Receipt and verification

First computed	2026-05-18T02:44:23.470850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21bc1ea2c48673bd19089204aecde77b02de1b8bab545e3dad60468d1e8a2dd1

Aliases

arxiv: 2605.13564 · arxiv_version: 2605.13564v1 · doi: 10.48550/arxiv.2605.13564 · pith_short_12: EG6B5IWEQZZ3 · pith_short_16: EG6B5IWEQZZ32GII · pith_short_8: EG6B5IWE

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/EG6B5IWEQZZ32GIISICK5TPHPM \
  | 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: 21bc1ea2c48673bd19089204aecde77b02de1b8bab545e3dad60468d1e8a2dd1

Canonical record JSON

{
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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-13T14:04:28Z",
    "title_canon_sha256": "f5ead11f57fa236ece8954531ea6d0e927c5c76e61b10c09f2015bff1ab5e28d"
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