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Glass transition in models with controlled frustration.

Annalisa Fierro1

  • 1INFM-Coherentia, Dipartimento di Scienze Fisiche, Università di Napoli "Federico II," Complesso Universitario Monte Sant'Angelo, Via Cinthia, I-80126, Napoli, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 25, 2004
PubMed
Summary

Researchers studied models with self-generated disorder and controlled frustration, discovering a region of local frustration exhibiting glassy dynamics. This suggests potential p-spin transitions and replica symmetry breaking changes as frustration increases.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Complex systems

Background:

  • Models with disorder and frustration are crucial for understanding complex systems.
  • Glassy dynamics and replica symmetry breaking are key phenomena in disordered systems.

Purpose of the Study:

  • To investigate a class of models exhibiting self-generated disorder and controlled frustration.
  • To identify the conditions under which glassy dynamics emerge.
  • To explore phase transitions and symmetry breaking in these models.

Main Methods:

  • Theoretical analysis of models with varying degrees of frustration.
  • Investigation of the transition from no frustration to frustration across all length scales.
  • Examination of the region with local frustration.

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Main Results:

  • A distinct region with local frustration was identified, leading to glassy dynamics.
  • The mean field model may exhibit a p-spin like transition within this region.
  • Increasing frustration range suggests a crossover from 1-step to continuous replica symmetry breaking.

Conclusions:

  • Local frustration is a critical factor for inducing glassy dynamics in these models.
  • The observed phenomena suggest connections to established concepts like p-spin transitions and replica symmetry breaking.
  • The study provides insights into the complex interplay between disorder, frustration, and emergent dynamics.