Universal energy transport law for dissipative and diffusive phase transitions

Neel Nadkarni, Chiara Daraio, Rohan Abeyaratne, Dennis M. Kochmann
2016 Physical review B  
We present a scaling law for the energy and speed of transition waves in dissipative and diffusive media. By considering uniform discrete lattices and continuous solids, we show that -for arbitrary highly-nonlinear many-body interactions and multi-stable on-site potentials -the kinetic energy per density transported by a planar transition wave front always exhibits linear scaling with wave speed and the ratio of energy difference to interface mobility between the two phases. We confirm that the
more » ... We confirm that the resulting linear superposition applies to highly-nonlinear examples from particle to continuum mechanics.
doi:10.1103/physrevb.93.104109 fatcat:464nzeff4zh35nufub5ekejqoi