Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.79: Poster

Montag, 7. März 2005, 15:30–18:00, Poster TU D

Control of Stochastic Differential Equations in growth phenomena — •Michael Block and Eckehard Schöll — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin

We solve the stochastic differential equations for crystal growth processes numerically utilizing a forward-backward Euler algorithm. The exponents describing the time-evolution of a surface are the growth exponent, the roughness exponent and the dynamic exponent, where only two are independent.

Concentrating on the evolution we involve simple control mechanisms in a classical way. The influence of different included control forces on the growth exponents and namely the surface roughness is analysed. The differences beetween uncontrolled and controlled growth processes are discussed by comparison in detail.