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The dynamical behavior of surface roughness in a random-walker model

2005 년도 가을물리학회 학술발표 대회. The dynamical behavior of surface roughness in a random-walker model. B young-sun A HN , Sooyeon Y OON, Soon-Hyung YOOK, Y up KIM Dept. of Phys. , Kyung Hee Univ. 2. Introduction. Flux fluctuation σ :.

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The dynamical behavior of surface roughness in a random-walker model

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  1. 2005 년도 가을물리학회 학술발표 대회 The dynamical behavior of surface roughness in a random-walker model Byoung-sun AHN, Sooyeon YOON, Soon-Hyung YOOK, YupKIM Dept. of Phys.,Kyung Hee Univ.

  2. 2 Introduction • Flux fluctuation σ : [Ref. Menezes, Barabasi,Phy. Rev. Lett. 92, 028701(2004)] • Width W (L,t ) : : The height of the interface at time t and • Average σ(TRW) over the node i : • If the input flux fluctuation , ΔNRW is small. [Ref. Yoon, Ahn, Kim cond-mat/0508748]

  3. 3 • Random walks on Lattices (homogenous networks) and Networks.

  4. 4  RWs on Graph with finite sizes.

  5. 5

  6. R.W 6 Model • A random walker starts from a randomly selected site (or node) i. • The random walker drops a particle (hi  hi+1 or • fi  fi+1) onto a site (or node) where the random walker visits. • We used regular lattice (1D, 2D and 3D) & • complex network (RN, SFN)

  7. 7 Simulation Results • 1d lattice

  8. 8 (2)2d lattice

  9. 9 (3)3d lattice

  10. 10 (4) Scale-free Network (=3)

  11. 11 (5) Random Network

  12. 12 Multiple Random Walkers 1d lattice L=10000, NRW=10000 Complex Network N=10000, NRW=10000

  13. 13 Summary ★ Width Correlated noise random noise Random noise random noise ★ Flux fluctuation Complex network : α = 0.5 (for all T )

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