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Random walkers absorbing on a boundary sample the Harmonic Measure linearly and independently: we discuss how the recurrence times between impacts enable non-linear moments of the measure to be estimated. From this we derive a new technique…

Statistical Mechanics · Physics 2007-05-23 Ellak Somfai , Nicholas R. Goold , Robin C. Ball , Jason P. DeVita , Leonard M. Sander

We present a series of experiments investigating the growth of ice crystals from water vapor in the presence of a background gas. We measured growth dynamics at temperatures ranging from -2 C to -25 C, at supersaturations between 0.5 and 30…

Materials Science · Physics 2008-11-19 Kenneth G. Libbrecht , Helen C. Morrison , Benjamin Faber

A model for diffusion-controlled spherical particle growth is presented and solved numerically, showing how, on cooling at sufficient rate from a given fraction solid, growth velocity first increases, and then decreases rapidly when solute…

Materials Science · Physics 2007-05-23 R. A. Martinez , A. Karma , M. C. Flemings

In this work, we study the crystalline nuclei growth in glassy systems focusing primarily on the early stages of the process, at which the size of a growing nucleus is still comparable with the critical size. On the basis of molecular…

Disordered Systems and Neural Networks · Physics 2017-04-10 Anatolii V. Mokshin , Bulat N. Galimzyanov

We study conserved models of crystal growth in one dimension [$\partial_t z(x,t) =-\partial_x j(x,t)$] which are linearly unstable and develop a mound structure whose typical size L increases in time ($L = t^n$). If the local slope ($m…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Alessandro Torcini

Underground gas storage is central to both climate mitigation and energy transition strategies, supporting both long-term carbon sequestration and seasonal hydrogen storage. A key mechanism governing the fate of injected gases is Ostwald…

Soft Condensed Matter · Physics 2025-09-03 Mohammad Salehpour , Tian Lan , Nicolas Bueno , Md Zahidul Islam Laku , Yashar Mehmani , Benzhong Zhao

The "burst-like growth" regime is observed for the $^4$He crystals with the growth defects. The observation has confirmed the hypothesis for the same physical mechanisms responsible for the transition of the crystalline facets to the state…

Other Condensed Matter · Physics 2021-03-02 V. L. Tsymbalenko

The morphology transition from the thermodynamically favorable to the unfavorable phase during growth of free-standing copper nanoclusters is studied by molecular dynamics simulations. We give a detailed description of the kinetics and…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Alexey A. Tal , E. Peter Müger , Igor A. Abrikosov

The shape dependence for the technologically important nickel oxide (NiO) nanocrystals on (001) strontium titanate substrates is investigated under the generalized Wulff-Kaichew (GWK) theorem framework. It is found that the shape of the NiO…

Materials Science · Physics 2021-02-03 Hongwei Liu , Xuan Cheng , Nagarajan Valanoor

We study the time dependence of the grain size distribution N(r,t) during crystallization of a d-dimensional solid. A partial differential equation including a source term for nuclei and a growth law for grains is solved analytically for…

Materials Science · Physics 2010-03-02 Anthony V. Teran , Ralf B. Bergmann , Andreas Bill

We investigate analytically and computationally the dynamics of 2D needle crystal growth from the melt in a narrow channel. Our analytical theory predicts that, in the low supersaturation limit, the growth velocity $V$ decreases in time $t$…

Materials Science · Physics 2023-05-24 Younggil Song , Damien Tourret , Alain Karma

The samples of hcp solid helium (1% $^3$He in $^4$He) are studied by NMR technique. The samples are grown by the blocking capillary method at different growth rates (about 8, 2, and 0.08 mK/s). The NMR technique is used for phase…

Other Condensed Matter · Physics 2015-05-28 N. P. Mikhin , A. P. Birchenko , A. S. Neoneta , E. Ya. Rudavskii , Ye. O. Vekhov

High temperatures promote kinetic processes which can drive crystal synthesis towards ideal thermodynamic conditions, thereby realizing samples of superior quality. While accessing very high temperatures in thin-film epitaxy is becoming…

Materials Science · Physics 2024-11-06 Jeong Rae Kim , Sandra Glotzer , Adrian Llanos , Salva Salmani-Rezaie , Joseph Falson

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

Single-walled carbon nanotubes (SWCNTs) are promising for nanoscale electronics and photonics, but practical deployment requires chirality control. Most catalytic chemical vapor deposition (CCVD) growth of SWCNTs proceeds on liquid metal…

Materials Science · Physics 2026-02-20 Daniel Hedman

The wear-driven structural evolution of nanocrystalline Cu was simulated with molecular dynamics under constant normal loads, followed by a quantitative analysis. While the microstructure far away from the sliding contact remains unchanged,…

Materials Science · Physics 2017-09-06 Zhiliang Pan , Timothy J. Rupert

A crystal of pure nickel grows from its melt at a rate that reaches 70 meters per second. This extraordinary growth rate has led to the suggestion that metallic crystals might provide the next generation of phase change materials. The huge…

Materials Science · Physics 2018-10-17 Gang Sun , Jenny Xu , Peter Harrowell

We analyze semilinear reaction-diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems under consideration are only assumed to satisfy natural assumptions, namely the preservation…

Analysis of PDEs · Mathematics 2023-05-04 Chunyou Sun , Bao Quoc Tang , Juan Yang

Despite many efforts the origin of a ferromagnetic (FM) response in ZnMnO and ZnCoO is still not clear. Magnetic investigations of our samples, not discussed here, show that the room temperature FM response is observed only in alloys with a…

When thin films are grown on a substrate by chemical vapor deposition, the evolution of the first deposited layers may be described, on mesoscopic scales, by dynamical models of the reaction-diffusion type. For monoatomic layers, such…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel Walgraef