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Mass distribution in a model with aggregation and chipping processes on complex networks. I. Introduction II. Motivation III. Model IV. Results V. Argument VI. Summary. Sungmin Lee, Sungchul Kwon and Yup Kim. Kyung Hee Univ. I. Introduction. Diffusion, aggregation
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Mass distribution in a model with aggregation and chipping processes on complex networks I. Introduction II. Motivation III. Model IV. Results V. Argument VI. Summary Sungmin Lee, Sungchul Kwon and Yup Kim Kyung Hee Univ.
I. Introduction Diffusion, aggregation and fragmentation colloidal suspension polymer gels aerosols and clouds etc… Conserved mass aggregation (CMA) model Diffusion Chipping
Mean field results Numerical simulation results J.Stat.Phys. 99,1(2000)
Zero Range Process (ZRP) Hopping - A particle jumps out of the site at the rate , and - hops to a neighboring site with the probability Jumping A condensed state arises or not according to , CMA model with M.R.Evans, Braz.J.Phys. 30,42 (2000) No condensation ZRP Diffusion Chipping
II. Motivation Phase Diagram
III. Model Chipping Diffusion Diffusion Chipping Measurement
IV. Results Random network
Zero range process Noh at el., PRL 94,198701 (2005) condensation CMA model with
V. Argument Maintain !! Maintain Maintain? or not? <T> : average life time
VI. Summary ◆ We study conserved mass aggregation model on networks. ◆ Phase diagram ◆ In case, there is no exponential phase because the big mass is maintained at low density.