Driven surface diffusion with detailed balance and elastic phase transitions
arXiv:1403.6679 · doi:10.1103/PhysRevE.89.062145
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.
arXiv comment14 pages, 6 figures
References in corpus (13)
- Stochastic Growth Equations and Reparametrization Invariance
- Four Lectures on the Physics of Crystal Growth
- Sliding Columnar Phase of DNA-Lipid Complexes
- On Critical Exponents and the Renormalization of the Coupling Constant in Growth Models with Surface Diffusion
- A New Phase of Tethered Membranes: Tubules
- Fluctuating Nematic Elastomer Membranes: a New Universality Class
- Anomalous elasticity of nematic elastomers
- Universal Elasticity and Fluctuations of Nematic Gels
- Thermal fluctuations and anomalous elasticity of homogeneous nematic elastomers
- Anomalous elasticity of nematic and critically soft elastomers
- Strongly anisotropic roughness in surfaces driven by an oblique particle flux
- Continuous Elastic Phase Transitions in Pure and Disordered Crystals
- Novel surface universality classes with strong anisotropy