Nature versus Nurture in Complex and Not-So-Complex Systems

TL;DR

This paper investigates how initial conditions versus dynamical processes influence the evolution of complex systems, using Ising spin models to quantify the relative impact of 'nature' and 'nurture' on system behavior.

Contribution

It introduces new insights into the balance between initial states and stochastic dynamics in determining system evolution, with specific results for low-dimensional Ising models.

Findings

Quantifies the influence of initial conditions on system states over time.

Provides new results on the role of stochastic dynamics in spin systems.

Analyzes the 'nature versus nurture' question in complex systems.

Abstract

Understanding the dynamical behavior of many-particle systems both in and out of equilibrium is a central issue in both statistical mechanics and complex systems theory. One question involves "nature versus nurture": given a system with a random initial state evolving through a well-defined stochastic dynamics, how much of the information contained in the state at future times depends on the initial condition ("nature") and how much on the dynamical realization ("nurture")? We discuss this question and present both old and new results for low-dimensional Ising spin systems.