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We consider a model for Darwinian evolution in an asexual population with a large but non-constant populations size characterized by a natural birth rate, a logistic death rate modelling competition and a probability of mutation at each…

Probability · Mathematics 2015-08-28 Martina Baar , Anton Bovier , Nicolas Champagnat

When dissipative particles are left alone, their fluctuation energy decays due to collisional interactions, clusters build up and grow with time until the system size is reached. When the effective dissipation is strong enough, this may…

Statistical Mechanics · Physics 2009-10-31 S. Luding , H. J. Herrmann

Structural changes induced by chemical reactions critically determine the catalytic performance and mechanism. However, precise tracking of the three-dimensional (3D) atomic structural evolution of individual bimetallic nanocatalysts…

Materials Science · Physics 2025-09-23 Jisheng Xie , Zhiheng Xie , Dijin Jiang , Shiyun Li , Yiheng Dai , Yao Zhang , Mufan Li , Jihan Zhou

A novel computational treatment of dense, stiff, coupled reaction rate equations is introduced to study the nucleation, growth, and possible coalescence of cavities during neutron irradiation of metals. Radiation damage is modeled by the…

Materials Science · Physics 2009-11-13 Michael P. Surh , Jess B. Sturgeon , Wilhelm G. Wolfer

Crystalline alloys and related mixed systems make up a large family of materials with high tunability which have been proposed as the solution to a large number of energy related materials design problems. Due to the presence of chemical…

Materials Science · Physics 2025-01-28 Pernilla Ekborg-Tanner , Petter Rosander , Erik Fransson , Paul Erhart

A recently developed method of nanoclusters growth in a pulsed plasma is studied by means of molecular dynamics. A model that allows one to consider high-energy charged particles in classical molecular dynamics is suggested, and applied for…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Alexey A. Tal , E. Peter Müger , Igor A. Abrikosov , Nils Brenning , Iris Pilch , Ulf Helmersson

Aggregation and settling are crucial phenomena that involve particulate systems. For particle sizes of millimetre and above, there are reasonable accurate predicting tools. However for smaller particle sizes, there appears to be a void in…

Fluid Dynamics · Physics 2016-01-15 D D Liyanage , Rajika J K A Thamali , A A K Kumbalatara , J A Weliwita , S Witharana

We review theoretical explanation of mechanisms of control of uniformity in growth of nanosize particles and colloids. The nanoparticles are synthesized as nanocrystals, by burst nucleation from solution. The colloids are self-assembled by…

Statistical Mechanics · Physics 2010-09-22 Vladimir Privman

Two simple kinetic models of Quantum Size Effect-directed nanocluster self-assembly in circular atomic corrals are discussed. The models correspond to an adsorption (either a physisorption or a chemisorption) and an adsorption-diffusion…

Mesoscale and Nanoscale Physics · Physics 2022-10-24 Mikhail Khenner

We present simulations of a hard disc system and analyze the time evolution of the dynamic heterogeneities. We characterize the time evolution of slow regions and slow particles individually. The motion of slow clusters turns out to be very…

Soft Condensed Matter · Physics 2009-11-07 Burkhard Doliwa , Andreas Heuer

It has been experimentally established in numerous cases that precipitation of monodispersed colloids from homogeneous solutions is a complex process. Specifically, it was found that in many systems nuclei, produced rapidly in a…

Materials Science · Physics 2010-09-22 Vladimir Privman , Dan V. Goia , Jongsoon Park , Egon Matijevic

Droplet coalescence is essential in a host of biological and industrial processes, involving complex systems as diverse as cellular aggregates, colloidal suspensions, and polymeric liquids. Classical solutions for the time evolution of…

Soft Condensed Matter · Physics 2024-07-04 Haicen Yue , Justin C. Burton , Daniel M. Sussman

By molecular dynamics simulations and free energy calculations based on Monte Carlo method, the detailed balance between Pt cluster isomers was investigated. For clusters of n<=50, stationary equilibrium is achieved in 100 ns in the…

Chemical Physics · Physics 2014-12-16 Zheng-Zhe Lin

Using multiscale analysis and methods of statistical physics, we show that a solution to the N-atom Liouville Equation can be decomposed via an expansion in terms of a smallness parameter epsilon, wherein the long scale time behavior…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Stephen Pankavich , Zeina Shreif , Peter Ortoleva

The self-similar growth-fragmentation equation describes the evolution of a medium in which particles grow and divide as time proceeds, with the growth and splitting of each particle depending only upon its size. The critical case of the…

Probability · Mathematics 2021-01-22 Jean Bertoin , Alexander R. Watson

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses,…

Statistical Mechanics · Physics 2024-10-02 Bin Xu , Zhao Wu , Jiayin Lu , Michael D. Shields , Chris H. Rycroft , Franz Bamer , Michael L. Falk

Crystal growth and crystal coalescence processes in supercooled systems strongly depend on the concentration of crystallization centers. We perform atomistic dynamics simulations of the crystallization process in the ultrathin metallic film…

Materials Science · Physics 2019-09-04 Bulat N. Galimzyanov , Vladimir I. Ladyanov , Anatolii V. Mokshin

The pair-correlation function $g(r,t)$ and its Fourier transform, the structure factor $S(q,t)$, are computed during the gelation process of identical spherical particles using the diffusion-limited cluster-cluster aggregation model in a…

Condensed Matter · Physics 2009-10-28 Anwar Hasmy , Rémi Jullien

The solutions of the Balitsky-Kovchegov evolution equations are studied numerically and compared with known analytical estimations. The rapidity and nuclear size dependences of the saturation scale are obtained for the cases of fixed and…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado , U. A. Wiedemann

Understanding the formation and evolution of young star clusters requires quantitative statistical measures of their structure. We investigate the structures of observed and modelled star-forming clusters. By considering the different…

Astrophysics · Physics 2007-05-23 S. Schmeja , R. S. Klessen
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