1 2005 년 통계물리 워크샵 ( 경기대학교 ) Mass distribution in a model with aggregation and chipping processes on complex networks I. Introduction II. Motivation III.

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년 통계물리 워크샵 ( 경기대학교 ) 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.

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

년 통계물리 워크샵 ( 경기대학교 ) Mean field results Numerical simulation results J.Stat.Phys. 99,1(2000)

년 통계물리 워크샵 ( 경기대학교 ) Zero Range Process (ZRP) - A particle jumps out of the site at the rate, and Hopping - hops to a neighboring site with the probability A condensed state arises or not according to, CMA model with ZRP No condensation M.R.Evans, Braz.J.Phys. 30,42 (2000) Jumping DiffusionChipping

년 통계물리 워크샵 ( 경기대학교 ) II. Motivation Phase Diagram

년 통계물리 워크샵 ( 경기대학교 ) III. Model Diffusion Chipping Diffusion Measurement

년 통계물리 워크샵 ( 경기대학교 ) IV. Results Random network

년 통계물리 워크샵 ( 경기대학교 ) SFN

년 통계물리 워크샵 ( 경기대학교 ) SFN

년 통계물리 워크샵 ( 경기대학교 ) SFN

년 통계물리 워크샵 ( 경기대학교 ) Zero range process condensation Noh at el., PRL 94, (2005) CMA model with

년 통계물리 워크샵 ( 경기대학교 ) V. Argument Maintain? or not? : average life time Maintain !! Maintain

년 통계물리 워크샵 ( 경기대학교 ) VI. Summary ◆ We study conserved mass aggregation model on networks. ◆ In case, there is no exponential phase because the big mass is maintained at low density. ◆ Phase diagram