Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 2016 | Published
Journal Article Open

Universal energy transport law for dissipative and diffusive phase transitions

Abstract

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.

Attached Files

Published - PhysRevB.93.104109.pdf

Files

PhysRevB.93.104109.pdf
Files (574.0 kB)
Name Size Download all
md5:663e554ec9318eb6e1ac3d53ee4adee6
574.0 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023