Chin. Phys. Lett.  2015, Vol. 32 Issue (5): 050502    DOI: 10.1088/0256-307X/32/5/050502
GENERAL |
Dilemma Produced by Infinity of a Random Walk
LI Jing-Hui**
Faculty of Science, Ningbo University, Ningbo 315211
Cite this article:   
LI Jing-Hui 2015 Chin. Phys. Lett. 32 050502
Download: PDF(360KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

We report a dilemma produced by the infinity of a random walk moving along a two-dimensional space sidestep. For this random walk, our investigation shows that using a different model can lead to a different diffusion coefficient of the random walk, which is produced by the infinity of the random walk. The result obtained by us in the present work can serve as a warning to us when we build the models to investigate the corresponding scientific problems.

Received: 07 November 2014      Published: 01 June 2015
PACS:  05.40.Fb (Random walks and Levy flights)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/32/5/050502       OR      https://cpl.iphy.ac.cn/Y2015/V32/I5/050502
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LI Jing-Hui

[1] Astumian R D and Dernyi I 1998 Eur. Biophys. J. 27 474
     Thomas N and Thornhill R A 1998 J. Phys. D 31 253
     Jülicher F, Ajdari A and Prost. J 1997 Rev. Mod. Phys. 69 1269
     Qian H 2000 J. Math. Chem. 27 219
     Li J H, Chen Q and Zhou X 2010 Phys. Rev. E 81 041104
[2] Fisher M E and Kolomeisky A B 1999 Proc. Natl. Acad. Sci. USA 96 6597
     Betterton M D and Jülicher F 2003 Phys. Rev. Lett. 91 258103
     Stukalin E B, Phillips I$\!$I$\!$I H and Kolomeisky A B 2005 Phys. Rev. Lett. 94 238101
     Das R K and Kolomeisky A B 2008 Phys. Rev. E 77 061912
     Li J H 2009 Commun. Theor. Phys. 52 627
     Li J H 2014 Chin. Phys. B 23 100503
[3] Derrida B 1983 J. Stat. Phys. 31 433
[4] Zaburdaev V, Schmiedeberg M and Stark H 2008 Phys. Rev. E 78 011119
     Dentz M, Scher H, Holder D and Berkowitz B 2008 Phys. Rev. E 78 041110
[5] LI M, Zhand Y S and Guo G C 2013 Chin. Phys. Lett. 30 020304
     Sun W G, Zhang J Y and Chen G R 2013 Chin. Phys. B 22 108904
[6] Einstein A 1905 Ann. Phys. (Leipzig) 322 549
     Gardiner C W 1983 Handbook of Stochastic Method for Physics, Chemistry and Natural Science (Berlin: Springer-Verlag)

Related articles from Frontiers Journals
[1] Li-Hua Lu, You-Quan Li. Quantum Approach to Fast Protein-Folding Time[J]. Chin. Phys. Lett., 2019, 36(8): 050502
[2] Hong Zhang, Guo-Hua Li. Reaction Subdiffusion with Random Waiting Time Depending on the Preceding Jump Length[J]. Chin. Phys. Lett., 2018, 35(9): 050502
[3] Jian Liu, Bao-He Li, Xiao-Song Chen. Generalized Master Equation for Space-Time Coupled Continuous Time Random Walk[J]. Chin. Phys. Lett., 2017, 34(5): 050502
[4] Rui-Wu Niu, Gui-Jun Pan. Self-Organized Optimization of Transport on Complex Networks[J]. Chin. Phys. Lett., 2016, 33(06): 050502
[5] Yang Song, Jing-Dong Bao. Giant Enhancement of Diffusion in a Tilted Egg-Carton Potential[J]. Chin. Phys. Lett., 2016, 33(02): 050502
[6] GAN Shu, HE Xing-Dao, LIU Bin, FENG Cui-Di. Effect of Quantum Coins on Two-Particle Quantum Walks[J]. Chin. Phys. Lett., 2015, 32(08): 050502
[7] ZHAO Jing, HU Ya-Yun, TONG Pei-Qing. The Effect of Quantum Coins on the Spreading of Binary Disordered Quantum Walk[J]. Chin. Phys. Lett., 2015, 32(06): 050502
[8] LI Ling, GUAN Ji-Hong, ZHOU Shui-Geng. Efficiency-Controllable Random Walks on a Class of Recursive Scale-Free Trees with a Deep Trap[J]. Chin. Phys. Lett., 2015, 32(03): 050502
[9] JING Xing-Li, LING Xiang, HU Mao-Bin, SHI Qing. Random Walks on Deterministic Weighted Scale-Free Small-World Networks with a Perfect Trap[J]. Chin. Phys. Lett., 2014, 31(08): 050502
[10] XIE Yan-Bo, LI Yu-Jian, LI Ming, XI Zhen-Dong, WANG Bing-Hong. An Exact Numerical Approach to Calculate the First Passage Time for General Random Walks on a Network[J]. Chin. Phys. Lett., 2013, 30(11): 050502
[11] LIU Jian, BAO Jing-Dong. Effective Jump Length of Coupled Continuous Time Random Walk[J]. Chin. Phys. Lett., 2013, 30(2): 050502
[12] LI Min, ZHANG Yong-Sheng, GUO Gunag-Can. Quantum Random Walk in Periodic Potential on a Line[J]. Chin. Phys. Lett., 2013, 30(2): 050502
[13] QI Kai,TANG Ming**,CUI Ai-Xiang,FU Yan. The Slow Dynamics of the Zero-Range Process in the Framework of the Traps Model[J]. Chin. Phys. Lett., 2012, 29(5): 050502
[14] ZHU Zi-Qi, JIN Xiao-Ling, HUANG Zhi-Long. Search for Directed Networks by Different Random Walk Strategies[J]. Chin. Phys. Lett., 2012, 29(3): 050502
[15] HUANG Jia-Min, TAO Wei-Ming**, XU Bo-Hou. Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise[J]. Chin. Phys. Lett., 2012, 29(1): 050502
Viewed
Full text


Abstract