Pith Number

pith:E6WJD2J6

pith:2025:E6WJD2J643COVOOJPIV7H4WQPT

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Adiabatic protocol for the generalized Langevin equation

Pedro J. Colmenares

A self-consistent adiabatic protocol for Brownian particles is obtained by displacing the optical trap according to an integral equation from the modified generalized Langevin equation.

arxiv:2508.04515 v6 · 2025-08-06 · cond-mat.stat-mech

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Claims

C1strongest claim

Assuming the dynamics obey a modified generalized Langevin equation previously introduced by the author, we find that the external driving depends on the system's dynamical properties and, in contrast to isothermal processes, does not require external optimization. Furthermore, it is shown that along the particle trajectory, the protocol must be optimized and expressed as an integral equation.

C2weakest assumption

The dynamics of the Brownian particle obey the modified generalized Langevin equation previously introduced by the author (invoked in the abstract as the foundational assumption for the self-consistent protocol).

C3one line summary

A self-consistent adiabatic protocol for trapped Brownian particles is derived by trap displacement according to an integral equation determined solely by the intrinsic parameters of a modified generalized Langevin equation.

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Cited by

1 paper in Pith

Adiabatic protocol for the generalized Langevin equation

Receipt and verification

First computed	2026-07-30T01:15:55.966864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

27ac91e93ee6c4eab9c97a2bf3f2d07ccb8c1fd4333af66bdb4e55ea0bf6878f

Aliases

arxiv: 2508.04515 · arxiv_version: 2508.04515v6 · doi: 10.48550/arxiv.2508.04515 · pith_short_12: E6WJD2J643CO · pith_short_16: E6WJD2J643COVOOJ · pith_short_8: E6WJD2J6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E6WJD2J643COVOOJPIV7H4WQPT \
  | 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: 27ac91e93ee6c4eab9c97a2bf3f2d07ccb8c1fd4333af66bdb4e55ea0bf6878f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc55c001edb214fa2728a5e1a123b35bb18cc5dbac82560dc7acd313ad4f15b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-08-06T14:59:23Z",
    "title_canon_sha256": "70c9f515b7b9b9b5a5fba79fde8e0e9cd0a571297226cfb8c1cb9005b5dc1166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04515",
    "kind": "arxiv",
    "version": 6
  }
}