Universal energy transport law for dissipative and diffusive phase transitions
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 multistable 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 resulting linear superposition applies to highly nonlinear examples from particle to continuum mechanics.
Additional Information© 2016 American Physical Society. Received 17 July 2015; revised manuscript received 29 February 2016; published 30 March 2016. N.N. and C.D. acknowledge support from the National Science Foundation (NSF) under Grant No. CMMI-1200319. D.M.K. acknowledges support from the NSF through CAREER Award No. CMMI-1254424.
Published - PhysRevB.93.104109.pdf