Pith Number

pith:M2CYFSJY

pith:2026:M2CYFSJYTXWTAUV76TRDIYDRRR

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Nonlinear dynamic elastic moduli from equilibrium stress fluctuations

F. E. Garbuzov, Y. M. Beltukov

Equilibrium stress fluctuations determine the nonlinear dynamic elastic moduli.

arxiv:2605.13703 v1 · 2026-05-13 · cond-mat.mtrl-sci · cond-mat.stat-mech

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Claims

C1strongest claim

no fluctuation formula exists for the nonlinear time-dependent moduli that govern anharmonic viscoelastic response under finite time-dependent strains. In this work we derive transient-time correlation function expressions for both the linear and the nonlinear dynamic moduli, starting from the DOLLS/SLLOD equations of motion for irrotational motion.

C2weakest assumption

The derivation assumes that the DOLLS/SLLOD equations of motion for irrotational motion correctly capture the nonlinear response and that equilibrium time correlations of the stress tensor and Born-kinetic terms suffice to express the finite-strain dynamic moduli.

C3one line summary

Derivation of equilibrium fluctuation formulas for both linear and nonlinear time-dependent elastic moduli using DOLLS/SLLOD equations of motion.

References

23 extracted · 23 resolved · 0 Pith anchors

[1] Strain fluctuations and elastic constants, 1982

[2] Molecular dynamics calculation of elastic constants for a crystalline system in equilibrium, 1985

[3] Generalized expressions for the calculation of elastic constants by computer simulation, 1989

[4] Isothermal elastic constants for argon. Theory and Monte Carlo calculations, 1969

[5] Statistical mechanics of elastic moduli, 1986

Receipt and verification

First computed	2026-05-18T02:44:16.830397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668582c9389ded3052bff4e23460718c6352133fc2b5405abb5b6c9a45737ea5

Aliases

arxiv: 2605.13703 · arxiv_version: 2605.13703v1 · doi: 10.48550/arxiv.2605.13703 · pith_short_12: M2CYFSJYTXWT · pith_short_16: M2CYFSJYTXWTAUV7 · pith_short_8: M2CYFSJY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M2CYFSJYTXWTAUV76TRDIYDRRR \
  | 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: 668582c9389ded3052bff4e23460718c6352133fc2b5405abb5b6c9a45737ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e266c65984cd21cf00270d44e69fa399e76c0c2ce4f93e731a7738701a5d0b67",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-13T15:52:40Z",
    "title_canon_sha256": "05f9e4f4f8a06692a5bb61382d90e110303387293db5356828fac8ee550f416f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13703",
    "kind": "arxiv",
    "version": 1
  }
}