Balistično odlaganje in KPZ univerzalnostni razred

Članek se osredotoči na modeliranje rasti mejne plasti, kot na primer pri odlaganju snega. V prvem delu je preko preprostih simetrijskih argumentov predstavljena hevristična izpeljava Kardar-Parisi-Zhang (KPZ) enačbe. Nato je predstavljen preprost diskreten model, preko katerega je definiran KPZ univerzalnostni razred. Predstavljeni so numerični dokazi, ki nakazujuejo, da KPZ enačba spada v KPZ univerzalnostni razred. Na koncu je razložen preprost eksperiment, ki pokaže značilno KPZ statistiko v rasti mejne plasti v tekočih kristalih.

Ballistic deposition and Kardar-Parisi-Zhang universality class

The paper focuses on modeling the growth of interface, best pictured as deposition of snow. In the first part a heuristic derivation of the Kardar-Parisi-Zhang (KPZ) equation is provided based on simple symmetry arguments. Next, the KPZ universality class is defined through an example of a simple discrete model, called Ballistic deposition. Numerical evidence is provided, which suggest that the KPZ equation is indeed in the KPZ universality class. Lastly, an experimental realisation is described, which shows characteristic KPZ statistics in boundary growth in liquid crystals.