Pith Number

pith:MZQTPEQV

pith:2026:MZQTPEQVZRQ2VUWYSAYVXSGWS2

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Semi-Markovian Dynamics of a Self-Propelled Particle in a Confined Environment: A Large-Deviation Study

Farhad H. Jafarpour, Shabnam Sohrabi

Aging strength in phase switches controls whether velocity fluctuations of a confined self-propelled particle undergo first-order or second-order dynamical phase transitions.

arxiv:2604.04595 v1 · 2026-04-06 · cond-mat.stat-mech

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\pithnumber{MZQTPEQVZRQ2VUWYSAYVXSGWS2}

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Record completeness

1 Bitcoin timestamp

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

Depending on the aging strength, the system exhibits either discontinuous (first-order) or continuous (second-order) DPTs in the fluctuations of the particle velocity.

C2weakest assumption

The transitions between the normal running phase and wall-attached phase are governed by time-dependent reset probabilities that follow an aging logic, with analysis performed in the long-time limit of the scaled cumulant generating function.

C3one line summary

In a semi-Markovian model of a confined self-propelled particle, aging strength in phase-transition probabilities determines whether velocity fluctuations undergo discontinuous or continuous dynamical phase transitions.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] H. Du, W. Xu, Z. Zhang, X. Han, Bacterial Behavior in Confined Spaces, Front. Cell Dev. Biol. 9 (2021) 629820 2021

[2] V. Kantsler, J. Dunkel, M. Blayney, R.E. Goldstein, Rheotaxis facilitates upstream navigation of mammalian sperm cells, eLife 3 (2014) e02403 2014

[3] Marcos, H.C. Fu, T.R. Powers, R. Stocker, Bacterial rheotaxis, Proc. Natl. Acad. Sci. U.S.A. 109 (2012) 4780–4785 2012

[4] M. Molaei, M. Barry, R. Stocker, J. Sheng, Failed escape: solid surfaces prevent tumbling of Escherichia coli, Phys. Rev. Lett. 113 (2014) 068103 2014

[5] N. Figueroa-Morales, A. Rivera, R. Soto, A. Lindner, E. Altshuler, ´E. Cl´ ement, E. coli ”super-contaminates” narrow ducts fostered by broad run- time distribution, Sci. Adv. 6 (2020) eaay0155 2020

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T01:03:29.481161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6661379215cc61aad2d890315bc8d6968f3b5fdce98d737b9c3a60c64751e700

Aliases

arxiv: 2604.04595 · arxiv_version: 2604.04595v1 · doi: 10.48550/arxiv.2604.04595 · pith_short_12: MZQTPEQVZRQ2 · pith_short_16: MZQTPEQVZRQ2VUWY · pith_short_8: MZQTPEQV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZQTPEQVZRQ2VUWYSAYVXSGWS2 \
  | 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: 6661379215cc61aad2d890315bc8d6968f3b5fdce98d737b9c3a60c64751e700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9869f5afb0e3edf391f7f5295b65884741c9b495df4f34d473eac2e7646de9f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-06T11:18:53Z",
    "title_canon_sha256": "a2d0a22e8497aa96cddcf36a01c42b279af45479e7931e368cfc88cd993fb9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.04595",
    "kind": "arxiv",
    "version": 1
  }
}