In the paper,we consider the transport of a two-dimensional random walk.The velocity and the dispersionof this two-dimensional random walk are derived.It mainly show that:(i)by controlling the values of the transition...In the paper,we consider the transport of a two-dimensional random walk.The velocity and the dispersionof this two-dimensional random walk are derived.It mainly show that:(i)by controlling the values of the transition rates,the direction of the random walk can be reversed;(ii)for some suitably selected transition rates,our two-dimensionalrandom walk can be efficient in comparison with the one-dimensional random walk.Our work is motivated in part by thechallenge to explain the unidirectional transport of motor proteins.When the motor proteins move at the turn pointsof their tracks(i.e.,the cytoskeleton filaments and the DNA molecular tubes),some of our results in this paper can beused to deal with the problem.展开更多
基金Supported by National Natural Science Foundation of China under Grant No.10975079by K.C.Wong Magna Fund in Ningbo University in China,and the Natural Science Foundation of Ningbo in China under Grant No.2008A61003
文摘In the paper,we consider the transport of a two-dimensional random walk.The velocity and the dispersionof this two-dimensional random walk are derived.It mainly show that:(i)by controlling the values of the transition rates,the direction of the random walk can be reversed;(ii)for some suitably selected transition rates,our two-dimensionalrandom walk can be efficient in comparison with the one-dimensional random walk.Our work is motivated in part by thechallenge to explain the unidirectional transport of motor proteins.When the motor proteins move at the turn pointsof their tracks(i.e.,the cytoskeleton filaments and the DNA molecular tubes),some of our results in this paper can beused to deal with the problem.
