Universal energy transport law for dissipative and diffusive phase transitions
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PhysRevB.93.104109.pdf
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Author(s)
Nadkarni, Neel
Daraio, Chiara
Abeyaratne, Rohan
Kochmann, Dennis M.
Date Issued
March 2016
Journal
Physical Review B
Publisher
American Physical Society
Citation
Nadkarni, Neel, Chiara Daraio, Rohan Abeyaratne, and Dennis M. Kochmann. “Universal Energy Transport Law for Dissipative and Diffusive Phase Transitions.” Physical Review B 93, no. 10 (March 30, 2016). © 2016 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.93.104109
