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Constrained Dynamics and Directed Percolation.

Aydin Deger1, Achilleas Lazarides1, Sthitadhi Roy2

  • 1Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.

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Summary
This summary is machine-generated.

Kinetic constraints arrest many-body chaos in spin systems, driving a dynamical phase transition. This transition belongs to the directed percolation universality class in one and two dimensions.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Dynamical systems

Background:

  • Many-body chaos is a fundamental concept in complex systems.
  • Kinetic constraints can significantly alter system dynamics.
  • Previous work identified constraint-driven phase transitions in spin systems.

Purpose of the Study:

  • To investigate the universality class of the constraint-induced phase transition.
  • To analyze the behavior of classical spin systems under kinetic constraints in 1D and 2D.

Main Methods:

  • Extensive numerical simulations of classical, deterministic spin systems.
  • Scaling analyses to determine critical behavior.
  • Comparison with known universality classes.

Main Results:

  • The constraint-induced phase transition was confirmed.
  • The transition was found to belong to the directed percolation universality class.
  • This holds true for both one and two spatial dimensions.

Conclusions:

  • Kinetic constraints provide a mechanism to control and arrest many-body chaos.
  • The directed percolation universality class governs this constraint-induced transition.
  • The findings have implications for understanding phase transitions in disordered systems.