The configurational entropy is an indispensable tool to describe super-cooled liquids near the glass transition. Its calculation requires enumeration of basins in potential energy landscape and when available, it reveals a direct connection with relaxation time liquid. While there are several reports on measurement passive liquids, very little understood about its role active which have propens...

Active particles with their characteristic feature of self-propulsion are regarded as the simplest models for motility in living systems. The accumulation active low activity regions has led to general belief that chemotaxis requires additional features and at least a minimal ability process information control motion. We show self-propelled display move into higher activity, if perform work on...

We present a mathematical proof of Einstein’s formula for the effective viscosity of a dilute suspension of rigid neutrally–buoyant spheres when the spheres are centered on the vertices of a cubic lattice. We keep the size of the container finite in the dilute limit and consider boundary effects. Einstein’s formula is recovered as a first-order asymptotic expansion of the effective viscosity in...