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Reaction, Lévy flights, and quenched disorder
1Department of Chemical Engineering, University of California, Los Angeles, California 90095-1592, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
Summary
Particle reactions in random potentials are modeled using Lévy flights. A detailed balance model shows reaction rates increase then decrease with disorder, mirroring turbulent fluid transport.
Area of Science:
- Physics
- Chemical Kinetics
- Fluid Dynamics
Background:
- The A+A-->Ø reaction describes particle annihilation.
- Particle transport in disordered systems is complex.
- Lévy flights model anomalous diffusion.
Purpose of the Study:
- To investigate the effect of quenched random potentials on the A+A-->Ø reaction rate.
- To compare reaction dynamics under different disorder models.
- To explore the applicability of Lévy flight statistics to turbulent fluid transport.
Main Methods:
- Simulating the A+A-->Ø reaction using Lévy flight transport.
- Employing two models for the quenched random potential: a common literature model and a detailed balance model.
- Analyzing the reaction rate as a function of disorder strength.
Main Results:
- The common literature model of disorder increased the reaction rate.
- The detailed balance model showed an initial increase followed by a decrease in reaction rate with increasing disorder strength.
- The behavior observed with the detailed balance model aligns with findings in reactive turbulent flow.
Conclusions:
- The nature of the random potential significantly influences reaction rates.
- Disorder models obeying detailed balance can exhibit complex reaction dynamics.
- Lévy flight statistics offer a potential framework for modeling aspects of turbulent fluid transport.