TL;DR
This paper investigates aging phenomena in a simple one-dimensional model, specifically a directed polymer in a random medium, highlighting how dynamical correlations depend on waiting time.
Contribution
It introduces and analyzes a toy model of a directed polymer in a random medium to study aging effects in one-dimensional systems.
Findings
Demonstrates strong dependence of correlation functions on waiting time
Provides insights into aging phenomena in simplified models
Highlights the dynamics of directed polymers in random environments
Abstract
We consider the dynamics of a simple one dimensional model and we discuss the phenomenon of aging (i.e., the strong dependence of the dynamical correlation functions over the waiting time). Our model is the so-called random random walk, the toy model of a directed polymer evolving in a random medium.
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