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PreprintCC BY 4.0arXiv

Death by mutants: unusual multicritical dynamics in a two-species model for absorbing state transitions

  • Astik Haldar
  • Abhik Basu
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Abstract

We explore the phases and active-to-absorbing state phase transitions (AAPT) in a two-species model, where the species A and its mutant B are {\em asymmetrically} or {\em nonreciprocally} coupled. We identify a multicritical point that connects the global absorbing state of both the species and its mutant, with a uniform active state. The critical dynamics at this multicritical point is studied within the lowest order perturbation theory. This asymmetric coupling between species A and mutant B leads to unequal and distinct upper critical dimensions dcA and dcB respectively for A and B dynamics. We show that the multicritical point in this model is characterised by an unusual breakdown of scale-invariance by fluctuation-induced logarithmic modulations with power law behaviour of the order parameter and correlation lengths of the species A at all dimensions d<dcA. Above dcA, conventional scale-invariance is restored. The dynamics of the mutant species B belongs to the DP universality class with an upper critical dimension of dcB=4

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Cite

BibTeXRIS
BibTeX
@misc{haldar2026death,
  title = {{Death by mutants: unusual multicritical dynamics in a two-species model for absorbing state transitions}},
  author = {Astik Haldar and Abhik Basu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03123},
  eprint = {2609.03123},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03123},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Death by mutants: unusual multicritical dynamics in a two-species model for absorbing state transitions
AU  - Astik Haldar
AU  - Abhik Basu
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.03123
UR  - https://arxiv.org/abs/2609.03123
AB  - We explore the phases and active-to-absorbing state phase transitions (AAPT) in a two-species model, where the species A and its mutant B are {\em asymmetrically} or {\em nonreciprocally} coupled. We identify a multicritical point that connects the global absorbing state of both the species and its mutant, with a uniform active state. The critical dynamics at this multicritical point is studied within the lowest order perturbation theory. This asymmetric coupling between species A and mutant B leads to unequal and distinct upper critical dimensions d_c^A and d_c^B respectively for A and B dynamics. We show that the multicritical point in this model is characterised by an unusual breakdown of scale-invariance by fluctuation-induced logarithmic modulations with power law behaviour of the order parameter and correlation lengths of the species A at all dimensions d<d_c^A. Above d_c^A, conventional scale-invariance is restored. The dynamics of the mutant species B belongs to the DP universality class with an upper critical dimension of d_c^B=4
ER  -