# Deleted:Surface growth

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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:^{[1]}^{[2]}

- 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)^{[3]}

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.

Popular tools include statistical mechanics, renormalization group, rough path theory, etc.

## See also

## References

- ↑ 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/.