Driven surface diffusion with detailed balance and elastic phase transitions.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Published: June 2014

AI Article Synopsis

  • Driven surface diffusion takes place during molecular beam epitaxy when particles are deposited at an angle, while elastic phase transitions occur in crystals when specific elastic constants disappear.
  • The authors demonstrate that despite the apparent differences, both systems can be unified under certain conditions in the same universality class.
  • They develop a field-theoretic Hamiltonian for this class and utilize renormalized field theory to determine critical exponents and logarithmic corrections for key experimental parameters.

Article Abstract

Driven surface diffusion occurs, for example, in molecular beam epitaxy when particles are deposited under an oblique angle. Elastic phase transitions happen when normal modes in crystals become soft due to the vanishing of certain elastic constants. We show that these seemingly entirely disparate systems fall under appropriate conditions into the same universality class. We derive the field-theoretic Hamiltonian for this universality class, and we use renormalized field theory to calculate critical exponents and logarithmic corrections for several experimentally relevant quantities.

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http://dx.doi.org/10.1103/PhysRevE.89.062145DOI Listing

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