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Area of Science:

  • Artificial life
  • Complex systems
  • Statistical physics

Background:

  • Self-replication is a fundamental characteristic of life.
  • Understanding the emergence of complex behaviors from simple rules is a key scientific challenge.
  • Artificial systems offer a controlled environment to study evolutionary dynamics.

Purpose of the Study:

  • To construct and validate a computational model for self-replicating particle clusters in two dimensions.
  • To investigate the dynamics of self-replication, including propagation patterns and the effects of mutations.
  • To explore the potential for studying evolutionary dynamics in an artificial system.

Main Methods:

  • Development of a simulation scheme for self-replicating square particle clusters.
  • Validation using computer simulations in a finite-temperature heat bath.
  • Introduction of spatially localized mutations in replication rules.

Main Results:

  • Self-replication reactions were observed to propagate as Fisher waves through the simulated environment.
  • The model, inspired by colloidal systems, allowed for multi-generational simulations.
  • Mutated cluster populations demonstrated survival and spread within the expanding front.

Conclusions:

  • The developed model provides a platform for studying artificial evolution.
  • Fisher waves are a relevant mechanism for the propagation of self-replication.
  • Spatially localized mutations can lead to adaptive evolution in artificial systems.