年份 | 2014 |
学科 | 机器人与智能机器 Robotics and Intelligent Machines |
国家/州 | United States of America |
Study of Two-dimensional Melting in a System of Small Magnets
The effort to understand the microscopic mechanism of melting has intrigued scientists for more than 100 years, but many questions about melting mechanisms remain to be answered. The aim of our work is to study configurational and melting properties of finite number (64) of 6 mm sized disc magnets moving on an air layer produced by an air table to imitate two-dimensional (2D) crystal and to compare experimental results with molecular dynamics simulation. Magnetic moments of the magnets in our experiment are oriented perpendicularly to the layer so that magnets repell each other by dipolar magnetic interaction. By changing the velocity of the air current blown to the air table we influenced temperature calculated through particle velocities. The movement of particles was recorded with a webcam and we created scripts in Matlab to analyze videos and to determine particle trajectories, velocity distribution, Voronoi diagrams of next neighbors and distributions of shape factor and angles in Delaunay triangulation. We used the Verlett algorithm for molecular dynamics simulation in Matlab and we compared the results of the computer simulation with the experimental system. Our results show, that a 2D hexagonal lattice forms at low temperature while with increasing temperature we can observe a change of the lattice symmetry from hexagonal to square. The dependence of averaged number density of defects on the temperature exhibits sudden increase indicating transition to the liquid phase. Particle trajectories in this phase reveal the surprising square shell structure with larger intra-shell diffusion and less probable inter-shell hopping.
高中生科研 英特尔 Intel ISEF
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· 数学 · 物理 · 化学 · 生物 · 计算机 · 工程 ·
Studies in which the use of machine intelligence is paramount to reducing the reliance on human intervention.
Biomechanics (BIE): Studies and apparatus which mimic the role of mechanics in biological systems.
Cognitive Systems (COG): Studies/apparatus that operate similarly to the ways humans think and process information. Systems that provide for increased interaction of people and machines to more naturally extend and magnify human expertise, activity, and cognition.
Control Theory (CON): Studies that explore the behavior of dynamical systems with inputs, and how their behavior is modified by feedback. This includes new theoretical results and the applications of new and established control methods, system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation.
Machine Learning (MAC): Construction and/or study of algorithms that can learn from data.
Robot Kinematics (KIN): The study of movement in robotic systems.
Other (OTH): Studies that cannot be assigned to one of the above subcategories. If the project involves multiple subcategories, the principal subcategory should be chosen instead of Other.
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