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Mass distribution in a model with aggregation and chipping processes on complex networks

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

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  1. 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.

  2. I. Introduction Diffusion, aggregation and fragmentation colloidal suspension polymer gels aerosols and clouds etc… Conserved mass aggregation (CMA) model Diffusion Chipping

  3. Mean field results Numerical simulation results J.Stat.Phys. 99,1(2000)

  4. 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

  5. II. Motivation Phase Diagram

  6. III. Model Chipping Diffusion Diffusion Chipping Measurement

  7. IV. Results Random network

  8. SFN

  9. SFN

  10. SFN

  11. Zero range process Noh at el., PRL 94,198701 (2005) condensation CMA model with

  12. V. Argument Maintain !! Maintain Maintain? or not? <T> : average life time

  13. 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.

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