PMID: 11308820Apr 20, 2001Paper

Target problem on small-world networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F Jasch, A Blumen

Abstract

In this work we focus on reactions on small-world networks (SWN's), disordered graphs of much recent interest. We study the target problem, since it allows an exact solution on regular lattices. On SWN's we find that the decay of the targets (for which we extend the formalism to disordered lattices) is again related to S(n), the mean number of distinct sites visited in n steps, although the S(n) vs n dependence changes here drastically in going from regular linear chains to their SWN.

References

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Citations

Dec 5, 2015·Scientific Reports·Zhongzhi ZhangYuhao Yi
Aug 19, 2015·The Journal of Chemical Physics·Zhongzhi ZhangYuhao Yi
Jun 15, 2015·The Journal of Chemical Physics·Pinchen XieZhongzhi Zhang
Jun 21, 2014·Scientific Reports·Yuan Lin, Zhongzhi Zhang
Sep 10, 2014·Scientific Reports·Yuan Lin, Zhongzhi Zhang
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E AlmaasD Stroud
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M F LagunaV M Kenkre
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul E ParrisV M Kenkre
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangMo Li
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangJihong Guan
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangYuan Lin
Feb 14, 2018·Physical Review Letters·Iacopo IacopiniVito Latora
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J LahtinenK Kaski
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul E Parris, V M Kenkre
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Himangsu Bhaumik, S B Santra
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sheng-You HuangZhun-Zhi Jin
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuan Lin, Zhongzhi Zhang
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sooyeon YoonYup Kim
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sheng-You HuangZhun-Zhi Jin
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luis G Morelli, Hilda A Cerdeira
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shi-Jie Yang
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhongzhi ZhangJihong Guan
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Jasch, A Blumen
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Davide Cassi

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