Pith. sign in

REVIEW 1 cited by

When is nonreciprocity relevant?

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2509.17972 v3 pith:CR2CJDMI submitted 2025-09-22 cond-mat.stat-mech cond-mat.dis-nn

Giulia Garcia Lorenzana , David Martin , Yael Avni , Daniel S. Seara , Michel Fruchart , Giulio Biroli , Vincenzo Vitelli This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.dis-nn
keywords systemsnonreciprocalnonreciprocityassesscriteriacriticalexponentsperturbation
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Nonreciprocal interactions are widely observed in nonequilibrium systems, from biological or sociological dynamics to open quantum systems. Despite the ubiquity of nonreciprocity, its impact on phase transitions is not fully understood. In this work, we derive criteria to perturbatively assess whether nonreciprocity changes the universality class of two-species systems undergoing a phase transition. These criteria, stated in terms of the unperturbed critical exponents in the spirit of the Harris criterion for disordered systems, assess whether static critical exponents change at first order under a given perturbation. For example, in the case of a nonreciprocal version of model A with two species, a homogeneous nonreciprocal perturbation is relevant whenever the two parts are initially identical and uncoupled, and irrelevant otherwise. Our results agree with existing renormalization group calculations and with numerical simulations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Reciprocal yet Equilibrium Critical Dynamics

    cond-mat.stat-mech 2026-07 accept novelty 6.0 of 10

    For U(n)-symmetric non-reciprocally coupled n-vector fields, non-reciprocal couplings are RG-irrelevant and criticality is Model A with 2n components despite an oscillatory ordered phase.

Pith tools