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We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht

We present a computational framework for characterizing the molecular self-organization of cocoa butter (Theobroma cacao) during dark chocolate tempering through the lens of Topological Data Analysis (TDA). A physics-inspired particle…

Materials Science · Physics 2026-03-31 Matteo Rucco

Simulation of subgrain growth during recovery is carried out using two-dimensional discrete dislocation dynamics on a hexagonal crystal lattice having three symmetric slip planes. To account for elevated temperature (i) dislocation climb…

Materials Science · Physics 2011-07-27 Péter Dusán Ispánovity , István Groma , Wolfgang Hoffelner , Maria Samaras

The effects of a surfactant on two-dimensional pattern formation in epitaxial growth are explored theoretically using a simple model, in which an adatom becomes immobile only after overcoming a large energy barrier as it exchanges positions…

Condensed Matter · Physics 2016-08-31 Bang-Gui Liu , Jing Wu , E. G. Wang , Zhenyu Zhang

What are the general principles that allow proper growth of a tissue or an organ? A growing leaf is an example of such a system: it increases its area by orders of magnitude, maintaining a proper (usually flat) shape. How can this be…

Tissues and Organs · Quantitative Biology 2020-05-13 S. Armon , M. Moshe , E. Sharon

Biological systems excel at building spatial structures on scales ranging from nanometers to kilometers and exhibit temporal patterning from milliseconds to years. One approach that nature has taken to accomplish this relies on the…

Cell Behavior · Quantitative Biology 2009-11-10 Herbert Levine , Eshel Ben-Jacob

Monte Carlo simulations are employed to investigate the surface growth generated by deposition of particles of different sizes on a substrate, in one and two dimensions. The particles have a linear form, and occupy an integer number of…

Statistical Mechanics · Physics 2011-11-17 F. L. Forgerini , W. Figueiredo

The temperatures of dust grains play important roles in the chemical evolution of molecular clouds. Unlike large grains, the temperature fluctuations of small grains induced by photons may be significant. Therefore, if the grain size…

Earth and Planetary Astrophysics · Physics 2018-06-27 Long-Fei Chen , Qiang Chang , Hong-Wei Xi

Given the multitude of growth habits, pronounced sensitivity to ambient conditions and wide range of scales involved, snowflake crystals are one of the most challenging systems to model. The present work focuses on the development and…

Fluid Dynamics · Physics 2022-01-26 Q. Tan , S. A. Hosseini , A. Seidel-Morgenstern , D. Thévenin , H. Lorenz

Over the last few decades, the predominant strategies for controlling spontaneous emission have involved tailoring the spatial surroundings of quantum emitters or atoms to create resonant or spatially periodic photonic structures. However,…

A thermodynamically consistent phase-field model is developed to study the non-isothermal grain coalescence during the sintering process, with a potential application to the simulation in unconventional sintering techniques, e.g. spark…

Materials Science · Physics 2018-06-08 Yangyiwei Yang , Min Yi , Bai-Xiang Xu , Long-Qing Chen

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

Soft Condensed Matter · Physics 2009-10-31 Mehran Kardar

Frost growth on cold surfaces is a transient process with coupled heat and mass transfer. Due to multiple factors such as humidity, temperature, flow velocity and constantly changing thermal properties as frost grows, precise prediction can…

Fluid Dynamics · Physics 2021-03-05 Shantanu Shahane , Yuchen Shen , Sophie Wang

We investigate the role of thermal fluctuations and of the finite number of monomers in small clusters of carbon atoms on the nucleation rate of carbonaceous grains. Thermal fluctuations are due to the quantized nature of the energy…

Solar and Stellar Astrophysics · Physics 2015-05-19 Adam C. Keith , Davide Lazzati

Piebaldism usually manifests as white areas of fur, hair or skin due to the absence of pigment-producing cells in those regions. The distribution of the white and colored zones does not follow the classical Turing patterns. Here we present…

Tissues and Organs · Quantitative Biology 2017-10-11 Michael Dougoud , Christian Mazza , Beat Schwaller , Laszlo Pecze

We examine the molecular dynamics of crystal growth in the presence of surface melting and surface impurities, and from this propose a detailed microscopic model for the growth of ice from the vapor phase. Our model naturally accounts for…

Materials Science · Physics 2008-10-06 Kenneth G. Libbrecht

Homogeneous nucleation and growth in a simplest two-dimensional phase field model is numerically studied using the cell dynamics method. Whole process from nucleation to growth is simulated and is shown to follow closely the…

Materials Science · Physics 2009-11-13 Masao Iwamatsu

Non-Arrhenius grain growth has been observed in a range of polycrystalline materials; however, its fundamental mechanisms, particularly whether the process is thermally activated or exhibits anti-thermally activation, remain controversial.…

Materials Science · Physics 2026-03-20 Xinlei Pan , Jingyu Li , Jianfeng Hu

Bacteria can form a great variety of spatially heterogeneous cell density patterns, ranging from simple concentric rings to dynamical spiral waves appearing in growing colonies. These pattern formation phenomena are important as they…

Populations and Evolution · Quantitative Biology 2025-01-17 John S. Chuang , Riccardo Rao , Stanislas Leibler

The cream layer is a complex heterogeneous material of biological origin which forms spontaneously at the air-milk interface. Here, it is studied the crumpling of a single cream layer packing under its own weight at room temperature in…

Soft Condensed Matter · Physics 2009-11-13 M A F Gomes , C C Donato , S L Campello , R E de Souza , R Cassia-Moura