Figure 5

Relationship among the local current Ji, scaling rate r and forward rate pi. (a) Three-dimensional view. (b) Plot of Ji versus r under \({{\rm{p}}}_{{\rm{i}}}=1\). (c) Plot of Ji versus pi under \({\rm{r}}=1.95\). Scatters are Monte-Carlo simulations. Lines are analytical results. Parameters are \(K=10\,\)and \({\rm{\rho }}=0.5\). Primitive transition rates are \(\,{\omega }_{1}^{u}=0.005\), \({\omega }_{1}^{d}=0.384\), \({\omega }_{2}^{u}=0.156\), \({\omega }_{2}^{d}=0.437\), \({\omega }_{3}^{u}=0.305\), \({\omega }_{3}^{d}=0.482\), \({\omega }_{4}^{u}=0.457\), \({\omega }_{4}^{d}=0.034\), \({\omega }_{5}^{u}=0.103\), \({\omega }_{5}^{d}=0.083\), \({\omega }_{6}^{u}=0.254\), \({\omega }_{6}^{d}=0.136\), \({\omega }_{7}^{u}=0.404\), \({\omega }_{7}^{d}=0.187\), \({\omega }_{8}^{u}=0.056\), \(\,{\omega }_{8}^{d}=0.233\), \({\omega }_{9}^{u}=0.208\), \({\omega }_{9}^{d}=0.285\), \({\omega }_{10}^{u}=0.359\) and \({\omega }_{10}^{d}=0.335\). Upward and downward rates of each lane are \(r\) and 1/r times of original values respectively.