PMID- 35590606
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20220520
IS  - 2470-0053 (Electronic)
IS  - 2470-0045 (Linking)
VI  - 105
IP  - 4-1
DP  - 2022 Apr
TI  - Mean trapping time for an arbitrary trap site on a class of fractal scale-free 
      trees.
PG  - 044201
LID - 10.1103/PhysRevE.105.044201 [doi]
AB  - Fractals are ubiquitous in nature and random walks on fractals have attracted 
      lots of scientific attention in the past several years. In this work, we consider 
      discrete random walks on a class of fractal scale-free trees (FST), whose 
      topologies are controlled by two integer parameters (i.e., u>/=2 and v>/=1) and 
      exhibit a wide range of topological properties by suitably varying the parameters 
      u and v. The mean trapping time (MTT), referred to as T_y, which is the mean 
      time it takes the walker to be absorbed by the trap fixed at site y of the FST, 
      is addressed analytically on the FST, and the effects of the trap location y on 
      the MTT for the FST and for the general trees are also analyzed. First, a method, 
      which is based on the connection between the MTT and the effective resistances, 
      to derive analytically T_y for an arbitrary site y of the FST is presented, and 
      some examples are provided to show the effectiveness of the method. Then, we 
      compare T_y for all the possible site y of the trees, and find the sites where 
      T_y achieves the minimum (or maximum) on the FST. Finally, we analyze the 
      effects of trap location on the MTT in general trees and find that the average 
      path length (APL) from an arbitrary site to the trap is the decisive factor which 
      dominates the difference in the MTTs for different trap locations on general 
      trees. We find, for any tree, the MTT obtains the minimum (or maximum) at sites 
      where the APL achieves the minimum (or maximum).
FAU - Gao, Long
AU  - Gao L
AD  - School of Mathematical and Information Science, Guangzhou University, Guangzhou 
      510006, China.
FAU - Peng, Junhao
AU  - Peng J
AD  - School of Mathematical and Information Science, Guangzhou University, Guangzhou 
      510006, China.
AD  - Guangdong Provincial Key Laboratory co-sponsored by province and city of 
      Information Security Technology, Guangzhou University, Guangzhou 510006, China.
FAU - Tang, Chunming
AU  - Tang C
AD  - School of Mathematical and Information Science, Guangzhou University, Guangzhou 
      510006, China.
AD  - Guangdong Provincial Key Laboratory co-sponsored by province and city of 
      Information Security Technology, Guangzhou University, Guangzhou 510006, China.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - Phys Rev E
JT  - Physical review. E
JID - 101676019
SB  - IM
EDAT- 2022/05/21 06:00
MHDA- 2022/05/21 06:01
CRDT- 2022/05/20 01:07
PHST- 2021/08/25 00:00 [received]
PHST- 2022/02/22 00:00 [accepted]
PHST- 2022/05/20 01:07 [entrez]
PHST- 2022/05/21 06:00 [pubmed]
PHST- 2022/05/21 06:01 [medline]
AID - 10.1103/PhysRevE.105.044201 [doi]
PST - ppublish
SO  - Phys Rev E. 2022 Apr;105(4-1):044201. doi: 10.1103/PhysRevE.105.044201.