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Updated: May 13, 2026

Examining Recall Memory in Infancy and Early Childhood Using the Elicited Imitation Paradigm
06:35

Examining Recall Memory in Infancy and Early Childhood Using the Elicited Imitation Paradigm

Published on: April 28, 2016

Everlasting initial memory threshold for rare events in equilibration processes.

J S Lee1, Chulan Kwon, Hyunggyu Park

  • 1School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 19, 2013
PubMed
Summary
This summary is machine-generated.

Conventional wisdom suggests memory decays exponentially. However, this study reveals that time-integrated quantities can retain initial memory indefinitely, even in the infinite-time limit, for systems far from equilibrium.

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Area of Science:

  • Non-equilibrium statistical mechanics
  • Complex systems dynamics
  • Thermodynamics

Background:

  • Conventional theory posits exponential decay of initial memory in equilibration processes.
  • Time-integrated quantities, like heat, are generally expected to lose initial memory over time.
  • This assumption holds for systems approaching equilibrium.

Purpose of the Study:

  • To investigate the persistence of initial memory in time-integrated quantities.
  • To determine conditions under which initial memory effects do not decay in the long-time limit.
  • To explore the implications for systems far from equilibrium.

Main Methods:

  • Analysis of large deviation functions for time-integrated quantities.
  • Rigorous mathematical derivation for Brownian particle dynamics.
  • Investigation using an intuitive physical argument and a simplified toy model.

Main Results:

  • Demonstrated that large deviation functions can exhibit persistent initial memory effects.
  • Identified a sharp finite threshold beyond which initial memory is everlasting.
  • Confirmed this phenomenon in Brownian particle dynamics as a specific example.

Conclusions:

  • Initial memory in time-integrated quantities can persist indefinitely under specific non-equilibrium conditions.
  • The findings challenge conventional assumptions about memory decay in relaxation processes.
  • Results are applicable to a broad range of non-equilibrium systems approaching steady states.