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The Kinetic Model of Gases01:24

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Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
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Kinetic random-field nonreciprocal Ising model.

Arjun R1, A V Anil Kumar1

  • 1Homi Bhabha National Institute, National Institute of Science Education and Research, School of Physical Sciences, Jatni, Bhubaneswar 752050, India and , Anushakti Nagar, Mumbai, India.

Physical Review. E
|April 18, 2026
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Summary
This summary is machine-generated.

We introduce a new model combining disorder and nonreciprocal interactions to study complex system behavior. This reveals how these factors create novel nonequilibrium critical phenomena, impacting driven and active systems.

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Area of Science:

  • Statistical Mechanics
  • Complex Systems Theory
  • Non-equilibrium Physics

Background:

  • Disorder and nonreciprocal interactions are key in many complex systems.
  • Understanding nonequilibrium phase transitions is crucial for driven and active matter.

Purpose of the Study:

  • Introduce and analyze the kinetic random-field nonreciprocal Ising model.
  • Investigate the impact of disorder and nonreciprocity on system dynamics.
  • Identify and characterize novel nonequilibrium phase transitions.

Main Methods:

  • Mean-field and effective-field theories.
  • Kinetic Monte Carlo simulations (3D Glauber dynamics).
  • Finite-size scaling analysis of susceptibility.

Main Results:

  • Identified a nonequilibrium tricritical (Bautin) point.
  • Observed continuous Hopf-type transitions and discontinuous saddle-node-of-limit-cycle (SNLC) transitions.
  • Characterized a "swap" phase with collective oscillations, hysteresis, and droplet-induced behavior.

Conclusions:

  • Disorder and nonreciprocity generate rich nonequilibrium criticality.
  • The model exhibits distinct critical and discontinuous behaviors.
  • Findings are relevant to driven and active systems.