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Aging is a complex biological phenomenon influenced by various processes that affect cellular and systemic functions. Several prominent theories attempt to explain its mechanisms, highlighting cellular limitations, oxidative damage, and hormonal changes as central factors in aging.
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Aging in the Long-Range Ising Model.

Henrik Christiansen1, Suman Majumder1, Malte Henkel2,3,4

  • 1Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany.

Physical Review Letters
|November 16, 2020
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Summary
This summary is machine-generated.

This study investigates aging in long-range interacting systems using the Ising model. Results show simple aging behavior across interaction ranges, with exponents varying based on interaction strength and system size.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Complex Systems

Background:

  • Aging phenomena are primarily studied in short-ranged interacting systems.
  • The aging dynamics of long-ranged interacting systems remain largely unexplored.
  • Understanding aging in diverse systems is crucial for statistical mechanics and condensed matter physics.

Purpose of the Study:

  • To investigate aging in phase-ordering kinetics of a 2D Ising model with power-law long-range interactions.
  • To determine how interaction range influences aging dynamics and autocorrelation exponents.
  • To explore potential finite-size effects in long-range interacting systems.

Main Methods:

  • Utilized Monte Carlo simulations to model the two-dimensional Ising model.
  • Analyzed the dynamical scaling of the two-time spin-spin autocorrelator.
  • Examined systems with varying power-law interaction ranges.

Main Results:

  • Simple aging behavior was observed for the two-time spin-spin autocorrelator across all interaction ranges.
  • Autocorrelation exponents aligned with λ=1.25 in the short-range regime.
  • For stronger long-range interactions, exponents were consistent with λ=d/2=1.
  • Significant finite-size effects were detected in very long-ranged interaction scenarios.

Conclusions:

  • Simple aging is a robust phenomenon in phase-ordering kinetics, even with long-range interactions.
  • The autocorrelation exponents are sensitive to the range of interactions.
  • Care must be taken to distinguish true subaging from finite-size effects in long-range systems.