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2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

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techniques based on the theory of<br />

general coordinates and dynamical<br />

systems. The work is applied to<br />

magnetic fusion, non-neutral and space<br />

plasmas.<br />

Optical and laser physics. Active areas<br />

of research include inelastic light scattering<br />

in nanomaterials, optical diagnostics<br />

of film processing, new laser systems,<br />

nonlinear optics, ultrafast optoelectronics,<br />

photonic switching, optical physics<br />

of surfaces, laser-induced crystallization,<br />

and photon integrated circuits.<br />

Solid-state physics. Research in<br />

solid-state physics covers nanoscience<br />

and nanoparticles, electronic transport<br />

and inelastic light scattering in lowdimensional<br />

correlated electron<br />

systems, fractional quantum Hall<br />

effect, heterostructure physics and<br />

applications, molecular beam epitaxy,<br />

grain boundaries and interfaces,<br />

nucleation in thin films, molecular<br />

electronics, nanostructure analysis,<br />

and electronic structure calculations.<br />

Research opportunities also exist within<br />

the interdisciplinary NSF Materials<br />

Research Science and Engineering<br />

Center, which focuses on complex films<br />

composed of nanocrystals; the NSF<br />

Nanoscale Science and Engineering<br />

Center, which focuses on electron<br />

transport in molecular nanostructures;<br />

and the DOE Energy Frontier Research<br />

Center, which focuses on conversion<br />

of sunlight into electricity in nanometersized<br />

thin films.<br />

Applied mathematics. Current research<br />

encompasses analytical and numerical<br />

analysis of deterministic and stochastic<br />

partial differential equations, large-scale<br />

scientific computation, fluid dynamics,<br />

dynamical systems and chaos, as<br />

well as applications to various fields of<br />

physics and biology. The applications<br />

to physics include condensed-matter<br />

physics, plasma physics, nonlinear<br />

optics, medical imaging, and the earth<br />

sciences, notably atmospheric, oceanic,<br />

and climate science, and solid earth<br />

geophysics (see below). The applications<br />

to biology include cellular biophysics,<br />

machine learning, and functional<br />

genomics, including collaborations with<br />

<strong>Columbia</strong>’s Center for Computational<br />

Biology and Bioinformatics (C2B2),<br />

the Center for Computational Learning<br />

Systems (CCLS), the NIH-funded<br />

Center for Multiscale Analysis of Genetic<br />

and Cellular Networks (MAGNet),<br />

and the NIH-funded Nanomedicine<br />

Center for Mechanobiology. Extensive<br />

collaborations exist with national climate<br />

research centers (the Geophysical Fluid<br />

Dynamics Laboratory and the National<br />

Center for Atmospheric Research) and<br />

with national laboratories of the U.S.<br />

Department of Energy, custodians of the<br />

nation’s most powerful supercomputers.<br />

Atmospheric, oceanic, and earth<br />

physics. Current research focuses on<br />

the dynamics of the atmosphere and the<br />

ocean, climate modeling, cloud physics,<br />

radiation transfer, remote sensing,<br />

geophysical/geological fluid dynamics,<br />

geochemistry. The department engages<br />

in ongoing research and instruction with<br />

the NASA Goddard Institute for Space<br />

Studies and the Lamont-Doherty Earth<br />

Observatory. Five faculty members share<br />

appointments with the Department of<br />

Earth and Environmental Sciences.<br />

In addition to the faculty and<br />

graduate students, many others<br />

participate in these projects, including<br />

full-time research faculty, faculty and<br />

students from other departments, and<br />

visiting scientists.<br />

Laboratory Facilities in Applied<br />

Physics and Applied Mathematics<br />

The Plasma Physics Laboratory,<br />

founded in 1961, is one of the leading<br />

university laboratories for the study of<br />

plasma physics in the United States.<br />

There are four experimental facilities.<br />

The <strong>Columbia</strong> High-Beta Tokamak<br />

(HBT-EP) supports the national program<br />

to develop controlled fusion energy.<br />

It utilizes high voltage, pulsed power<br />

systems, and laser and magnetic<br />

diagnostics to study the properties<br />

of high-beta plasmas and the use<br />

of feedback stabilization to increase<br />

the achievable beta. A collaborative<br />

program with the Princeton Plasma<br />

Physics Laboratory and the DIII-D<br />

tokamak group at General Atomics is<br />

studying the properties of high-beta<br />

plasmas in order to maximize fusion<br />

power production in these large, neutral<br />

beam-heated tokamaks and spherical<br />

tori. The plasma physics group and MIT<br />

have jointly constructed the Levitated<br />

Dipole Experiment (LDX), a large plasma<br />

confinement experiment incorporating<br />

a levitated superconducting ring. The<br />

<strong>Columbia</strong> Nonneutral Torus (CNT)<br />

is an experiment devoted to the first<br />

study of non-neutral plasmas confined<br />

on magnetic surfaces. The <strong>Columbia</strong><br />

Linear Machine (CLM) is a continuously<br />

operating, linear mirror device for the<br />

study of collisionless plasma instabilities,<br />

plasma, transport, and feedback<br />

stabilization. <strong>Columbia</strong>’s Collisionless<br />

Terrella Experiment investigates plasma<br />

transport in magneto-spheric geometry<br />

and the generation of strong plasma<br />

flow from nonlinear electrostatic<br />

potentials.<br />

Experimental research in solid-state<br />

physics and laser physics is conducted<br />

within the department and also in<br />

association with the <strong>Columbia</strong> Center for<br />

Integrated Science and Engineering and<br />

the School of Mines. Facilities include<br />

laser processing and spectroscopic<br />

apparatus, ultrahigh vacuum chambers<br />

for surface analysis, picosecond and<br />

femtosecond lasers, a molecular beam<br />

epitaxy machine, and a clean room that<br />

includes photo-lithography and thin film<br />

fabrication systems. Within this field,<br />

the Laser Diagnostics and Solid-State<br />

Physics Laboratory conducts studies<br />

in laser spectroscopy of nanomaterials<br />

and semiconductor thin films, and laser<br />

diagnostics of thin film processing.<br />

The Laser Lab focuses on the study<br />

of materials under high pressure, laser<br />

surface chemical processing, and new<br />

semiconductor structures. Research<br />

is also conducted in the shared<br />

characterization laboratories and clean<br />

room operated by the NSF Nanoscale<br />

Science and Engineering Center.<br />

The department maintains an<br />

extensive network of workstations and<br />

desktop computers. The department<br />

has recently acquired a SiCortex<br />

supercomputer with 1,458 cores, which<br />

is used for a wide range of departmental<br />

computational activities. The research<br />

of the Plasma Lab is supported by<br />

a dedicated data acquisition/data<br />

analysis system, and the applied math<br />

group has access to a Beowulf cluster.<br />

Through the Internet, researchers in<br />

the department are currently using<br />

supercomputing facilities at the National<br />

57<br />

engineering <strong>2011</strong>–<strong>2012</strong>

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