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Aging at criticality in model-C dynamics.

P Calabrese1, A Gambassi

  • 1Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, I-56126 Pisa, Italy. calabres@df.unipi.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2003
PubMed
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This study analyzes critical response and correlation functions in O(N) vector models using an epsilon expansion. The fluctuation-dissipation ratio shows aging behavior, matching Model A for N=1.

Area of Science:

  • Statistical physics
  • Condensed matter theory
  • Critical phenomena

Background:

  • Investigating off-equilibrium dynamics is crucial for understanding complex systems.
  • Model C of the O(N) vector model describes relaxational dynamics coupled to conserved densities.
  • Critical response and correlation functions probe system behavior near phase transitions.

Purpose of the Study:

  • To determine off-equilibrium two-point critical response and correlation functions for Model C.
  • To analyze scaling behaviors and the fluctuation-dissipation ratio in the aging regime.
  • To compare findings with Model A and predictions of local scale invariance.

Main Methods:

  • Employing an epsilon=4-d expansion for vanishing momentum.
  • Calculating scaling forms up to first order in epsilon.

Related Experiment Videos

  • Analyzing the fluctuation-dissipation ratio at one-loop order.

    • Main Results:

    • Off-equilibrium critical response and correlation functions for Model C were determined.
    • Scaling behaviors and forms were established up to first order in epsilon.
    • The fluctuation-dissipation ratio exhibits a non-trivial large-time limit in the aging regime.

    Conclusions:

    • The fluctuation-dissipation ratio for Model C aligns with Model A for N=1 in the aging regime.
    • The study provides insights into the critical dynamics of O(N) vector models.
    • Comparison with local scale invariance offers further avenues for theoretical exploration.