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A restricted random walk on a one-dimensional random chain
Affiliation:1. Clean Energy Automotive Engineering Center & School of Automotive Studies, Tongji University, Shanghai 201804, China;2. Shanghai Composites Science & Technology Co., Ltd., Shanghai 201112, China;1. Advanced Functional Materials Research Group, Institut Teknologi Bandung, Bandung 40132, Indonesia;2. Research and Technology Inovation, Pertamina Company, Jakarta 10110, Indonesia;3. Department of Electrical, Electronic & Systems Engineering, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia;4. Department of Science Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Bandung, Indonesia;5. Research Center for Nanosciences and Nanotechnology (RCNN), Institut Teknologi Bandung, Bandung 40132, Indonesia;1. Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC;2. National Nano Device Laboratories, No. 26, Prosperity Road 1, Hsinchu, 30078, Taiwan, ROC;3. Department of Physics, National Sun Yet-Sun University, Kaohsiung, 80424, Taiwan, ROC;4. Frontier Research Center on Fundamental and Applied Sciences of Matters, National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC;1. Department of Mechanical Engineering, Colorado State University, Fort Collins, CO 80523, United States;2. CREST (Centre for Renewable Energy Systems Technology), Wolfson School of Mechanical, Electrical and Manufacturing Engineering, Loughborough University, Leicestershire LE11 3TU, United Kingdom
Abstract:It is found that under some special conditions the inverse velocity for a restricted random walk diverges even though it is finite for the corresponding unrestricted walk. This leads to an anomalous tz (0<z<1) behaviour for the mean distance travelled in time t.
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