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Effective traplike activated dynamics in a continuous landscape.

Matthew R Carbone1, Valerio Astuti2, Marco Baity-Jesi1,3

  • 1Department of Chemistry, Columbia University, New York, New York 10027, USA.

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Summary
This summary is machine-generated.

A simple model reveals a new low-temperature phase with aging dynamics in continuous landscapes. This phase mimics disordered systems, showing entropy-driven activation is robust across different update methods.

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Area of Science:

  • Statistical Mechanics
  • Complex Systems

Background:

  • Network models for activated dynamics are limited in continuous landscapes.
  • Understanding aging dynamics in disordered systems is crucial.

Purpose of the Study:

  • To extend network models to continuous landscapes.
  • To investigate nonequilibrium low-temperature phases and aging dynamics.
  • To compare entropy-driven versus energy-driven activation.

Main Methods:

  • A simple model of a tracer in a high-dimensional funnel landscape without disorder.
  • Analysis of activated dynamics and phase transitions.
  • Comparison of local and global update dynamics.

Main Results:

  • A novel nonequilibrium low-temperature phase with aging dynamics was identified.
  • This phase is effectively equivalent to disordered models like the trap model.
  • Entropy-driven activation is more robust than energy-driven activation.

Conclusions:

  • Continuous landscapes can exhibit aging dynamics similar to disordered systems.
  • Entropy-driven activation offers a more generalizable framework for activated dynamics.