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arxiv: 2605.25996 · v1 · pith:Q7OWJAMLnew · submitted 2026-05-25 · ❄️ cond-mat.soft · cond-mat.stat-mech

Topology of pulsating active matter: Defect asymmetry controls emergent motility

Luca Casagrande , Alessandro Manacorda , Etienne Fodor This is my paper

Pith reviewed 2026-06-29 19:16 UTC · model grok-4.3

classification ❄️ cond-mat.soft cond-mat.stat-mech
keywords pulsating active mattertopological defectsdefect motilityratchet effectmechanochemical couplingsymmetry breakingfluctuating hydrodynamicsspiral waves
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The pith

Motility of topological defects in pulsating active matter arises from a ratchet effect in which mechanochemical coupling breaks spatial and time-reversal symmetries, allowing fluctuations to drive drift of asymmetric rotating defects.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that topological defects become motile in pulsating active matter even without macroscopic flows or microscopic self-propulsion. This motility is produced by a ratchet effect in which local oscillations couple to repulsive interactions, breaking both spatial and time-reversal symmetries so that fluctuations cause asymmetric rotating defects to drift. The same mechanism produces a crossover from spiral waves connecting slow defects to fiber-like waves connecting fast defects. The authors capture the nucleation and motion of these defects with a fluctuating hydrodynamics description.

Core claim

Topological defects in pulsating active matter are motile because the mechanochemical coupling between local oscillations and repulsive interactions breaks both spatial and time-reversal symmetries; asymmetric rotating defects therefore drift under fluctuations. This ratchet mechanism controls a crossover between spiral waves that connect slow defects and fiber-like waves that connect fast defects, in analogy with the onset of heart rhythm disorder. The entire process is rationalized by a fluctuating hydrodynamics that describes spontaneous nucleation and directed motion of motile defects inside an ordered background.

What carries the argument

The ratchet effect generated by mechanochemical coupling between local oscillations and repulsive interactions, which breaks spatial and time-reversal symmetries and produces fluctuation-driven drift of asymmetric rotating defects.

If this is right

  • Motile defects spontaneously nucleate and move within an ordered background.
  • The crossover between spiral waves and fiber-like waves is regulated by defect speed and asymmetry.
  • Fluctuating hydrodynamics describes both the nucleation and the directed motion of the defects.
  • The same symmetry-breaking mechanism is proposed to operate in cardiac tissues during the onset of rhythm disorder.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The ratchet mechanism may operate in any oscillating active system where local phase and repulsive forces are coupled, even if the microscopic details differ from the present model.
  • Engineering the strength or symmetry of the coupling could provide a route to control defect speed and direction without adding self-propulsion.
  • The fluctuating-hydrodynamics description could be adapted to quantify defect statistics in other symmetry-broken active systems that lack explicit motility.

Load-bearing premise

The model assumes that mechanochemical coupling between local oscillations and repulsive interactions is present and sufficient to break both spatial and time-reversal symmetries in the way needed for the ratchet effect to operate.

What would settle it

Direct observation that asymmetric rotating defects remain immobile under fluctuations when the mechanochemical coupling is removed or made symmetric would falsify the claim that this coupling produces the ratchet-driven motility.

Figures

Figures reproduced from arXiv: 2605.25996 by Alessandro Manacorda, Etienne Fodor, Luca Casagrande.

Figure 1
Figure 1. Figure 1: FIG. 1. Deformation waves connect defects that rotate with [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Defect statistics for pulsating particles [Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Fluctuating hydrodynamics [Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
read the original abstract

In pulsating active matter, topological defects are motile despite the absence of any macroscopic flows and microscopic self-propulsion. We reveal that this motility arises from a ratchet effect: the mechanochemical coupling between local oscillations and repulsive interactions breaks both spatial and time-reversal symmetries, thus leading asymmetric rotating defects to drift under fluctuations. This mechanism regulates a crossover between spiral waves connecting slow defects and fiber-like waves connecting fast defects, in analogy with the onset of heart rhythm disorder in cardiac tissues. We rationalize this crossover in terms of a fluctuating hydrodynamics that captures how motile defects spontaneously nucleate and move within an ordered background.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The paper claims that in pulsating active matter, topological defects exhibit motility without macroscopic flows or microscopic self-propulsion. This motility arises from a ratchet effect in which mechanochemical coupling between local oscillations and repulsive interactions breaks both spatial and time-reversal symmetries, causing asymmetric rotating defects to drift under fluctuations. The mechanism controls a crossover between spiral waves (connecting slow defects) and fiber-like waves (connecting fast defects), analogous to the onset of heart rhythm disorder. The crossover is rationalized via a fluctuating hydrodynamics description that accounts for spontaneous nucleation and motion of motile defects within an ordered background.

Significance. If the central claim holds, the work identifies a symmetry-breaking ratchet mechanism that generates emergent defect motility in active matter purely from local oscillations and interactions. This provides a theoretical link between topology, mechanochemical coupling, and fluctuation-driven transport, with potential relevance to biological pattern formation such as cardiac tissues. The fluctuating hydrodynamics framework is a constructive element that rationalizes the observed crossover and could guide future modeling of defect dynamics in oscillatory active systems.

minor comments (3)
  1. [§3] §3 (Model section): the definition of the mechanochemical coupling term should explicitly state its functional form and parameter values used in simulations to allow direct reproduction of the symmetry-breaking argument.
  2. [Figure 4] Figure 4 caption: the distinction between 'slow' and 'fast' defects in the crossover regime is described qualitatively; adding a quantitative measure (e.g., average defect speed vs. oscillation frequency) would strengthen the comparison to the hydrodynamics prediction.
  3. [§5] §5 (Hydrodynamics): the stochastic term in the fluctuating hydrodynamics equation is introduced without a derivation of its correlator; a brief appendix deriving the noise strength from the underlying microscopic fluctuations would improve clarity.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the significance of our work, and recommendation for minor revision. The referee's summary accurately reflects the central claims of the manuscript.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The central claim rests on introducing mechanochemical coupling between oscillations and repulsions as a physically motivated model ingredient that breaks symmetries to produce a ratchet effect. The fluctuating hydrodynamics is then built to describe the resulting defect nucleation and drift. No derivation step reduces by construction to its own inputs, no parameter is fitted on a subset and then relabeled a prediction, and no load-bearing uniqueness theorem or ansatz is imported via self-citation. The model assumptions are stated explicitly and the derivation proceeds from them without self-referential closure.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract provides no explicit free parameters, axioms, or invented entities; full text would be required to populate the ledger.

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Reference graph

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