Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Reaction-Diffusion-Systems
DY 7.7: Vortrag
Montag, 26. März 2012, 18:15–18:30, MA 144
Reaction-Diffusion-Systems with various Distributions of Binding Energies — •Andrea Wolff1, Ingo Lohmar2, and Joachim Krug1 — 1Institut für theoretische Physik, Universität zu Köln, Deutschland — 2Racah Institute of physics, The Hebrew University, Jerusalem, Israel
We study pair reactions on a periodic square lattice with continuous deposition, diffusion, and spontaneous desorption of particles. The characteristic quantity of the system's steady state is the efficiency, which is the fraction of incoming particles, that react before desorption.
Since spatial inhomogeneity is of theoretical and applied interest, we want to study the influence of disorder in the process rates systematically. We start with binary disorder, where each site has one of two possible different binding energies. The behavior of this system has been well-understood qualitatively and quantitatively [1]. In contrast, the case of continuously distributed binding energies cannot be treated exactly anymore. We use the knowledge of the binary system to derive a mapping from the system with a continuous distribution to an effective binary model, where all the different binding energies are pooled into two effective ones [2]. Comparison of this effective model with Monte Carlo simulations shows remarkable agreement.
[1] A. Wolff, I. Lohmar, J. Krug, Y. Frank, O. Biham, Phys. Rev. E 81, 061109 (2010)
[2] A. Wolff, I. Lohmar, J. Krug, O. Biham, J. Stat. Mech. 10, P10029 (2011)