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In mathematics and physics, a surface growth model is the dynamical study of growth of a surface, usually by means of a stochastic differential equation of a field. Popular growth models include:
- KPZ equation
- dimer model
- Eden growth model
- SOS model
- Self-avoiding walk
- Abelian sandpile model
- Kuramoto–Sivashinsky equation (or the flame equation, for studying the surface of a flame front)
They are studied for their fractal properties, scaling behavior, critical exponents, universality classes, and relations to chaos theory, dynamical system, non-equilibrium / disordered / complex systems.
- Kardar. (2007). Statistical Physics of Fields. Cambridge University Press. OCLC 939869413. http://worldcat.org/oclc/939869413.
- Zee, Anthony (2010). Quantum Field Theory. Princeton University Press. ISBN 9781400835324.
- Wolchover, Natalie. "Machine Learning’s ‘Amazing’ Ability to Predict Chaos". https://www.quantamagazine.org/machine-learnings-amazing-ability-to-predict-chaos-20180418/.