The criteria formulated by M. Born for the onset of melting (1939) and lattice stability (1940) are re-examined on the basis of more general considerations of elastic instabilities. With the aid of molecular dynamics simulations, we show that (1) Born's stability criteria are valid only in the...

Considering the coupled strength between interdependent networks, we introduce a new method to define the initial load on an edge and propose a cascading load model in interdependent networks. We explore the robustness of the interdependent networks against cascading failures by two measures,...