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Kovacs effect in the one-dimensional Ising model: a linear response analysis.

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  • 1G. Millán Institute, Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, 28911 Leganés, Spain.

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|March 4, 2014
PubMed
Summary
This summary is machine-generated.

We studied the Kovacs effect in the 1D Ising model. The Kovacs hump

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The Kovacs effect describes non-monotonic relaxation after a quench.
  • Linear response theory provides a framework for analyzing such phenomena.

Purpose of the Study:

  • To analyze the Kovacs effect in the 1D Ising model with Glauber dynamics.
  • To investigate the relationship between the Kovacs hump and energy relaxation functions.

Main Methods:

  • Analytical derivation using linear response theory.
  • Extensive Monte Carlo simulations.

Main Results:

  • The Kovacs hump is directly linked to the monotonic energy relaxation function.
  • Analytical and simulation results show excellent agreement.
  • The hump's peak position depends on the asymptotic behavior of the relaxation function.

Conclusions:

  • Linear response theory accurately describes the Kovacs effect in this model.
  • Deviations from stretched exponential behavior influence the relaxation dynamics.