We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the sharp-interface limit, our model reduces to a Burton-Cabrera-Frank (BCF)-type theory for the motion of noninteracting steps separating inhomogeneous terraces. This setting aims to capture features ...

Experiments show that faceting of a vicinal surface can be induced by surface reconstruction, which often occurs only on sufficiently wide terraces. We study this process using a one-dimensional terracestep model that assigns a lower free energy to terraces wider than a critical width wc . When mass is conserved locally, through surface diffusion, we find that a reconstructed terrace can nuclea...

We adapt a construction for R-sequencings to give new terraces for abelian groups. This enables the construction of terraces for all groups of the form Z2×Zt where k ≥ 4 and t > 5 is odd. We also present an extendable terrace for Z2 × Z5. When combined with known results this shows that any abelian counterexample to Bailey’s Conjecture (which asserts that all groups except the elementary abelia...

Mapping in the Homs region of Syria has revealed a hitherto unrecognized staircase of at least 12 gravel terraces of the upper Orontes River. The terrace gravels overlie Pliocene lacustrine marl and have been calcareously cemented into conglomerates, sometimes interbedded with cemented fine-grained alluvium. A tentative dating scheme, based on modelling the regional-scale surface uplift that ha...

STM images show that vicinal Au(788) surfaces are made up of a uniform array of (111)-oriented terraces of similar width ( approximately 3.8 nm). This uniformity makes it possible to study the electronic structure of the resulting step superlattice by angle-resolved photoemission. We show that for this terrace array the surface state appears to be broken up into one-dimensional quantum-well lev...

Introduction The Coastal terrace is a unique tectonic complication in Iran and covers more than half of the Oman Sea coast from Jask to Quatre. These beaches are constantly rising and this has greatly influenced the morphology of the formation and deformation of Makran coasts marine terrace, which can be seen in the formation of coastal cliffs in these areas. But one of the important quest...

This paper presents the first, evidence-based altimetry of old Lake Rotomahana, site fabled Pink, Black and White Terraces, Eighth Wonder World, in New Zealand. It is axiomatic Terraces cannot be found

The coast of the provinces of Granada and Malaga (SE Spain) are economically important areas for the subtropical fruit cultivation. The climate is characterized by heavy periodic rainfall, which is one of the main factors responsible for soil erosion in this agroecosystem. However, the erosion depends on a host of factors, including soil, topography, cropping and soilconservation techniques. Th...