We study the phase transition on a highway in a modified anisotropic continuum model with an on-ramp, which is recently developed by Gupta and Katiyar (J. Phys. A: Math. Nucl. Gen. 38 (2005) 4069]. To investigate whether this model can describe several distinct traffic states that are identified...

This paper develops a new continuum model based upon an improved car-following model by using a series expansion of the headway in terms of the density. The new model contains an additional speed gradient term (Anisotropic term) in comparison to the Berg's model [Berg et al., Phys. Rev. E 61(2)...

We study dielectric breakdown in a semi-classical bond percolation model for non-linear composite materials introduced by us and the relaterd breakdown exponent near the percolation thresh-old in two dimensions. The breakdown exponent after doing finite size scaling analysis is found to be tB...