2007/09/13 by Joel Thorarinson, Thorarinson, Joel, Marcelo Gleiser +1
Earth and Planetary Sciences · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.AO #nlin.PS
paper · pdf · doi:10.48550/arxiv.0709.2138
Proceedings for NECSI International Conference on Complex Systems (2007), 9 pages
arxiv created 2007/09/13 · openalex publication_date 2007/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonlinear field theories can be used to study both standard physics questions, or to study questions such as the emergence of order and complexity. These theories are generally derived from the symmetries of a given problem and the interactions that respect those symmetries. Formally one can then quantize the system to find the masses of the fundamental excitations, but this procedure generally destroys much information about solutions of the field equations with large non-perturbative amplitudes. To get information about the properties of the solutions to these field theories without perturbative approximations we use real time lattice simulations where complex spatiotemporal structures emerge dynamically from excess free energy and a thermal background. We present results in 2 and 3 dimensions of new interacting quasi-particle formations from a quench. These objects show an emergent level of complexity which we attempt to categorize and define in a manner that should be useful to many different applications.