Inhomogeneous activity enhances density phase separation in active model B

We study the binary phase separation in active model B, on a two-dimensional substrate with inhomogeneous activity. Activity was introduced maximum value at center of box and spread as Bivariate-Gaussian distribution we move away from center. The system studied for three different intensities distribution. Toward boundary box, activity is zero or similar to passive B. start random homogeneous density particles, evolves toward structured density. With time, starts separate decreases box. width profile increases power law exponent α(t) remains close between 2/3 3/4 up some moderate time then decays steady state. Hence, our result shows response an respect patterned substrate. It can be used design devices useful trapping segregation particles.