English
Related papers

Related papers: Self-consistent rate theory for submonolayer surfa…

200 papers

A method is formulated, based on combining self-consistent field theory with dynamically corrected transition state theory, for estimating the rates of adsorption and desorption of end-constrained chains (e.g. by crosslinks or…

Soft Condensed Matter · Physics 2015-02-23 Doros N. Theodorou , Georgios G. Vogiatzis , Georgios Kritikos

Self-Consistent Field Theory is applied to a film of cylindrical-forming block copolymer subject to a surface field which tends to align the cylinders parallel to electrical plates, and to an external electric field tending to align them…

Soft Condensed Matter · Physics 2009-11-11 Chin-Yet Lin , M. Schick

The equilibrium properties of hard rod monolayers are investigated in a lattice model (where position and orientation of a rod are restricted to discrete values) as well as in an off--lattice model featuring spherocylinders with continuous…

Soft Condensed Matter · Physics 2016-09-21 M. Oettel , M. Klopotek , M. Dixit , E. Empting , T. Schilling , H. Hansen--Goos

We generalize the level set approach to model epitaxial growth to include thermal detachment of atoms from island edges. This means that islands do not always grow and island dissociation can occur. We make no assumptions about a critical…

Materials Science · Physics 2009-11-07 M. Petersen , C. Ratsch , R. E. Caflisch , A. Zangwill

Self-consistent theory of electron localization in disordered systems is generalized for the case of interacting electrons. We propose and critically compare a number of possible self-consistency schemes which take into account the lowest…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii , V. G. Suvorov

The intentional growth of metastable surface structures of organic molecules adsorbed on inorganic substrates is a challenging task. It is usually unclear which kinetic mechanism leads to the metastable surface polymorph after a deposition…

Materials Science · Physics 2025-07-18 Simon B. Hollweger , Anna Werkovits , Oliver T. Hofmann

The theory of multistate template-directed reversible copolymerization is developed by extending the method based on iterated function systems to matrices, taking into account the possibility of multiple activation states instead of a…

Biological Physics · Physics 2020-05-20 Pierre Gaspard

We consider the self-assembly of composite structures from a group of nanocomponents, each consisting of particles within an $N$-atom system. Self-assembly pathways and rates for nanocomposites are derived via a multiscale analysis of the…

Biological Physics · Physics 2014-01-06 Stephen Pankavich , Peter Ortoleva

Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range…

patt-sol · Physics 2009-10-30 David K. Lubensky , Raymond E. Goldstein

The multiplex network growth literature has been confined to homogeneous growth hitherto, where the number of links that each new incoming node establishes is the same across layers. This paper focuses on heterogeneous growth. We first…

Physics and Society · Physics 2015-06-23 Babak Fotouhi , Naghmeh Momeni

For one-dimensional growth processes we consider the distribution of the height above a given point of the substrate and study its scale invariance in the limit of large times. We argue that for self-similar growth from a single seed the…

Statistical Mechanics · Physics 2009-10-31 Michael Praehofer , Herbert Spohn

The distributions of inter-island gaps and captures zones for islands nucleated on a one-dimensional substrate during submonolayer deposition are considered using a novel retrospective view. This provides an alternative perspective on why…

Statistical Mechanics · Physics 2015-03-20 Paul A. Mulheran , Kenneth P. O'Neill , Michael Grinfeld , Wilson Lamb

The interaction between two chemically identical charge-regulated surfaces is studied using the classical density functional theory. In contrast to common expectations and assumptions, under certain realistic conditions we find a…

Soft Condensed Matter · Physics 2018-02-26 Arghya Majee , Markus Bier , Rudolf Podgornik

We develop a formal model of the emergence of self-constructing objects (e.g. heteropolymers with autocatalytic capability) in an open system, which don't contain such objects initially. The objects are constructed from subunits (e.g.…

Statistical Mechanics · Physics 2025-01-06 P. O. Mchedlov-Petrosyan , L. N. Davydov

In a recent Letter, Baer et al. present a stochastic method for Kohn-Sham density functional theory calculations. Their convergence criterion is the self-averaging total energy per electron, which requires a number of statistical samples…

Materials Science · Physics 2014-04-15 Jonathan E. Moussa , Andrew D. Baczewski

The kinetics of aggregation in a monolayer of magnetic particles are studied using stochastic dynamics computer simulations. At low densities (<8% coverage) the equilibrium structure is made up of chains and rings; the primary mechanisms by…

Soft Condensed Matter · Physics 2007-05-23 Peter D. Duncan , Philip J. Camp

For surface-mediated processes, such as on-surface synthesis, epitaxial growth and heterogeneous catalysis, a constant slope in the Arrhenius diagram of the corresponding rate of interest against inverse temperature, $\log R$ {\it vs}…

In this work, the rate law for inhomogeneous concentration distributions has been formulated, by applying spatial integration over the products of species concentrations. Reaction rates for typical reactions have been investigated by…

Chemical Physics · Physics 2025-12-24 Xiang-Yuan Li , Xin-Yu Zhang , ChuanFeng Yue

We use a multiscale approach to study a lattice-gas model of submonolayer growth of Fe/Mo(110) by Molecular Beam Epitaxy. To begin with, we construct a two-dimensional lattice-gas model of the Fe/Mo(110) system based on first-principles…

Materials Science · Physics 2015-06-12 M. Mašín , M. Kotrla , B. Yang , M. Asta , M. O. Jahma , T. Ala-Nissila

We investigate the kinetics of submonolayer epitaxial growth which is driven by a fixed flux of monomers onto a substrate. Adatoms diffuse on the surface, leading to irreversible aggregation of islands. We also account for the effective…

Statistical Mechanics · Physics 2009-10-31 P. L. Krapivsky , J. F. F. Mendes , S. Redner