Bridging length and time scales in moving contact line problems

Physical,mechanical,chemical,and biological processes for various problems span length and time scales of many orders of magnitude[1-6].As a typical dynamic process,moving contact line（MCL）problem or droplet spreading consists of 7-8 length and time scales from the atomistic to the continuum[2],as shown in Figure 1.A grand challenge in MCL problems is to link these vastly different length and time scales.All these length and time scales origin from the competition among governing forces[7],

Physical,mechanical,chemical,and biological processes for various problems span length and time scales of many orders of magnitude[1-6].As a typical dynamic process,moving contact line(MCL)problem or droplet spreading consists of7-8 length and time scales from the atomistic to the continuum[2],as shown in Figure 1.A grand challenge in MCL problems is to link these vastly different length and time scales.All these length and time scales origin from the competition among governing forces[7],which indicates that they