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We investigate the influence of the nuclear deformation on the decay rates of some cluster emission processes. The interaction between the daughter and the cluster is given by a double folding potential including quadrupole and hexadecupole…

Nuclear Theory · Physics 2007-05-23 S. Misicu , D. Protopopescu

The crystal size distribution in polynuclear growth is numerically studied using a coupled map lattice model. The width of the size distribution depends on c/D, where c is the growth rate at interface sites and $D$ is the diffusion…

Materials Science · Physics 2015-06-11 Hidetsugu Sakaguchi , Takuma Ohishi

Lattice mismatch of Cu on Ag(111) produces fast diffusion for special "magic sizes" of islands. A size- and shape-dependent reptation mechanism is responsible for low diffusion barriers. Initiating the reptation mechanism requires a…

Materials Science · Physics 2010-08-02 Henry H. Wu , A. W. Signor , Dallas R. Trinkle

The classical nucleation theory (CNT) concept of a nucleus as a fragment of the bulk new phase fails for nanosized nuclei. An extension of CNT taking into account the properties of the transition region between coexisting bulk phases is…

Chemical Physics · Physics 2017-06-09 Nikolay V. Alekseechkin

The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critical island size $i$. A fragmentation theory approach yields…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 M. Grinfeld , W. Lamb , P. A. Mulheran , K. P. O'Neill

The formation of the radial electric field, $E_{\rm r}$ in the SOL has been experimentally studied for attached divertor conditions in stellarator W7-X. The main objective of this study is to test the validity in a complex 3D island…

We study the diffusion and submonolayer spreading of chainlike molecules on surfaces. Using the fluctuating bond model we extract the collective and tracer diffusion coefficients D_c and D_t with a variety of methods. We show that…

Condensed Matter · Physics 2009-10-28 T. Ala-Nissila , S. Herminghaus , T. Hjelt , P. Leiderer

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Densely packed systems of thermal particles in curved geometries are frequently encountered in biological and microfluidic systems. In 2D systems, at sufficiently high surface coverage, diffusive motion is widely known to be strongly…

Statistical Mechanics · Physics 2014-07-22 Remy Kusters , Stefan Paquay , Cornelis Storm

We develop a theory for distributed branch points and investigate their role in determining the shape and influencing the mechanics of thin hyperbolic objects. We show that branch points are the natural topological defects in hyperbolic…

Differential Geometry · Mathematics 2021-02-03 Toby L. Shearman , Shankar C. Venkataramani

We study irreversible dimer nucleation on top of terraces during epitaxial growth in one and two dimensions, for all values of the step-edge barrier. The problem is solved exactly by transforming it into a first passage problem for a random…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Claudio Castellano

Turbulence is shown to be critical to the onset and evolution of the neoclassical tearing mode, affecting both its growth and rotation. The interaction is here studied for the first time in the three dimensional, toroidal gyrokinetic…

The dynamics of the coherent structures in jets generated by nozzles of different shapes is analyzed through DNS at $Re_{D_e}=565$, by considering circular, square, fractal and star-like nozzles. The jets generated from orifices with…

Fluid Dynamics · Physics 2015-06-29 Paolo D'Addio , Paolo Orlandi

We consider the problem of diffusion-controlled evolution of the system $A$-particle island - $B$-particle island at propagation of the sharp annihilation front $A+B\to 0$. We show that this general problem, which includes as particular…

Statistical Mechanics · Physics 2009-11-13 Boris M. Shipilevsky

The growth of a crystal is usually determined by its surface. Many factors influence the growth dynamics. Energy barriers associated with the presence of steps most often decide about the emerging pattern. The height and type of…

Materials Science · Physics 2023-12-08 Marta Anna Chabowska , Magdalena A. Załuska-Kotur

Nucleation and growth is studied in a system undergoing diffusion-controlled condensation under gradual changes in parameters, such as cooling. It is demonstrated that when Gibbs-Thompson effect becomes negligible, the system falls into a…

Soft Condensed Matter · Physics 2025-03-14 Alexei V. Tkachenko

The multi-scale interaction of self-consistently driven magnetic islands with electromagnetic turbulence is studied within the three dimensional, toroidal gyro-kinetic framework. It can be seen that, even in the presence of electromagnetic…

We examine the effects of introducing a wall or edge into a directed percolation process. Scaling ansatzes are presented for the density and survival probability of a cluster in these geometries, and we make the connection to surface…

Statistical Mechanics · Physics 2009-10-30 Per Frojdh , Martin Howard , Kent B. Lauritsen

We explore the nature of anomalous diffusion of wave packets in disorder-free incommensurate multi-walled carbon nanotubes. The spectrum-averaged diffusion exponent is obtained by calculating the multifractal dimension of the energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shidong Wang , Milena Grifoni , Stephan Roche

Atomic diffusion at nanometer length scale may differ significantly from bulk diffusion, and may sometimes even exhibit counterintuitive behavior. In the present work, taking Cu/Ni as a model system, a general phenomenon is reported which…

Materials Science · Physics 2019-05-15 Atul Tiwari , M. K. Tiwari , Mukul Gupta , H. -C. Wille , Ajay Gupta