Keywords: Phase Transitions (9)

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Atomistic Computer Modeling of Materials (SMA 5107), Spring 2005
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Atomistic Computer Modeling of Materials (SMA 5107), Spring 2005

This course uses the theory and application of atomistic computer simulations to ... (more)

This course uses the theory and application of atomistic computer simulations to model, understand, and predict the properties of real materials. Specific topics include: energy models from classical potentials to first-principles approaches; density functional theory and the total-energy pseudopotential method; errors and accuracy of quantitative predictions: thermodynamic ensembles, Monte Carlo sampling and molecular dynamics simulations; free energy and phase transitions; fluctuations and transport properties; and coarse-graining approaches and mesoscale models. The course employs case studies from industrial applications of advanced materials to nanotechnology. Several laboratories will give students direct experience with simulations of classical force fields, electronic-structure approaches, molecular dynamics, and Monte Carlo. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Case Study
Full Course
Lecture Notes
Syllabi
Video Lectures
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Ceder, Gerbrand
Marzari, Nicola
Concord Consortium: Phase Change
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Concord Consortium: Phase Change

This interactive activity for grades 8-12 features eight models that explore atomic ... (more)

This interactive activity for grades 8-12 features eight models that explore atomic arrangements for gases, solids, and liquids. Highlight an atom and view its trajectory to see how the motion differs in each of the three primary phases. As the lesson progresses, students observe and manipulate differences in attractions among atoms in each state and experiment with adding energy to produce state changes. More advanced students can explore models of latent heat and evaporative cooling. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. (less)

Subject:
Mathematics
Chemistry
Physics
Technology
Education
Material Type:
Activities and Labs
Data
Images and Illustrations
Instructional Material
Interactive
Lecture Notes
Reference
Provider:
ComPADRE Digital Library
Concord Consortium
Provider Set:
ComPADRE Classroom-Ready Resources
Concord Consortium Collection
Author:
The Concord Consortium
Evaporative Cooler
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Evaporative Cooler

Explore the concept of evaporative cooling through a hands-on experiment. Use a ... (more)

Explore the concept of evaporative cooling through a hands-on experiment. Use a wet cloth and fan to model an air-conditioner and use temperature and relative humidity sensors to collect data. Then digitally plot the data using graphs in the activity. In an optional extension, make your own modifications to improve the cooler's efficiency. (less)

Subject:
Mathematics
Chemistry
Engineering
Geoscience
Physics
Education
Material Type:
Activities and Labs
Images and Illustrations
Instructional Material
Lecture Notes
Provider:
Concord Consortium
Provider Set:
Concord Consortium Collection
Author:
The Concord Consortium
Exploring the Nanoworld: Memory Metal
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Exploring the Nanoworld: Memory Metal

This Project-Based Learning module explores the properties of Nitinol, a nickel-titanium alloy ... (more)

This Project-Based Learning module explores the properties of Nitinol, a nickel-titanium alloy with shape memory that is representative of "smart materials". It presents real-world situations allowing students to explore the alloy and witness its remarkable atomic ballet. The wire samples used in the unit can be bent at room temperature, but return to original shape when heated by hot air or water. <i>Editor's Note: This week-long module meets multiple national standards in a highly engaging manner. It could be instrumental in helping students understand how structural changes at the atomic level are the basis for many types of phase change. It also gives students crucial experience in materials design. Nitinol wire is readily available for purchase at approximately $2.00 per foot.</i> <i>Exploring the Nanoworld</i> is an initiative to create educational materials that promote understanding of nano-scale science in grades 6-12. It features movies, curricula, lesson plans, and interactive student activities. (less)

Subject:
Chemistry
Engineering
Physics
Technology
Education
Material Type:
Activities and Labs
Assessments
Images and Illustrations
Instructional Material
Lecture Notes
Lesson Plans
Student Guide
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE Classroom-Ready Resources
Author:
National Science Foundation
Materials at Equilibrium (SMA 5111), Fall 2003
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Materials at Equilibrium (SMA 5111), Fall 2003

Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical ... (more)

Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical systems, solutions, and phase diagrams. Computation of phase diagrams. Statistical thermodynamics and relation between microscopic and macroscopic properties, including ensembles, gases, crystal lattices, phase transitions. Applications to phase stability and properties of mixtures. Computational modeling. Interfaces. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Ceder, Gerbrand
Networks, Fall 2009
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Networks, Fall 2009

" Networks are ubiquitous in our modern society. The World Wide Web ... (more)

" Networks are ubiquitous in our modern society. The World Wide Web that links us to and enables information flows with the rest of the world is the most visible example. It is, however, only one of many networks within which we are situated. Our social life is organized around networks of friends and colleagues. These networks determine our information, influence our opinions, and shape our political attitudes. They also link us, often through important but weak ties, to everybody else in the United States and in the world. Economic and financial markets also look much more like networks than anonymous marketplaces. Firms interact with the same suppliers and customers and use Web-like supply chains. Financial linkages, both among banks and between consumers, companies and banks, also form a network over which funds flow and risks are shared. Systemic risk in financial markets often results from the counterparty risks created within this financial network. Food chains, interacting biological systems and the spread and containment of epidemics are some of the other natural and social phenomena that exhibit a marked networked structure. This course will introduce the tools for the study of networks. It will show how certain common principles permeate the functioning of these diverse networks and how the same issues related to robustness, fragility, and interlinkages arise in several different types of networks." (less)

Subject:
Science and Technology
Social Sciences
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Acemoglu, Daron
Ozdaglar, Asu
Phase Transitions in the Earth's Interior, Spring 2005
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Phase Transitions in the Earth's Interior, Spring 2005

This course discusses phase transitions in Earth's interior. Phase transitions in Earth ... (more)

This course discusses phase transitions in Earth's interior. Phase transitions in Earth materials at high pressures and temperatures cause the seismic discontinuities and affect the convections in the Earth's interior. On the other hand, they enable us to constrain temperature and chemical compositions in the Earth's interior. However, among many known phase transitions in mineral physics, only a few have been investigated in seismology and geodynamics. This course reviews important papers about phase transitions in mantle and core materials. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Shim, Sang-heon
Statistical Mechanics II:  Statistical Physics of Fields, Spring 2008
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Statistical Mechanics II: Statistical Physics of Fields, Spring 2008

A two-semester course on statistical mechanics. Basic principles are examined in 8.333: ... (more)

A two-semester course on statistical mechanics. Basic principles are examined in 8.333: the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and mean-field theory. Topics from modern statistical mechanics are explored in 8.334: the hydrodynamic limit and classical field theories. Phase transitions and broken symmetries: universality, correlation functions, and scaling theory. The renormalization approach to collective phenomena. Dynamic critical behavior. Random systems. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Kardar, Mehran
Symmetry Breaking on a Rotating Hoop
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Symmetry Breaking on a Rotating Hoop

The Rotating Hoop Launcher package shows the dynamics of a mass that ... (more)

The Rotating Hoop Launcher package shows the dynamics of a mass that is constrained to move on a rotating hoop. The rotating hoop model is an excellent mechanical model of first- and second-order phase transitions. Although the minimum of the potential energy curve corresponds to the bottom of the hoop at low rotation frequency, a spontaneous symmetry breaking (cusp catastrophe) occurs as the frequency is increased. This package presents the theory, a demonstration, and an Easy Java Simulation (EJS) of this experiment. The package was presented at the NC Section of the AAPT Spring 2008 meeting. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Simulations
Provider:
comPADRE
Provider Set:
Open Source Physics
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