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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Semiconductor Devices

Analysis and Numerics for
Modeling Semiconductor Devices and Biological Channels


Monday May 19 - Friday May 23, 2003

CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions


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Scientific Content Objectives Focal Points Organizers Invited Participants & Directory
Acknowledgment Schedule Funding Contact Poster [PDF] Photos

 

REGISTRATION REQUESTED

Due to space limitations, please register/RSVP at /programs/smc03/rsvp.htm


SCIENTIFIC CONTENT

The last few years have witnessed rapid developments in semiconductor mathematical research including modeling, analysis and numerical simulations of semiconductor device equations, ranging from the Schroedinger equation for the evolution of the electron wave function to the drift-diffusion system for the evolution of the 'electron gas' which is close to a Maxwellian equilibrium. Like semiconductor devices, many proteins and biological systems are also devices in exactly the engineering sense of the word. These devices have a definite function described by an approximate device equation that is valid ONLY when the device is working as designed. Devices have complex internal structure that allows them to have a reasonably robust and simple equation and much of biological research is really an inverse problem to determine the device equation.

The diversity of physical architectures for semiconductor devices and biological ionic channels as well as the mathematical models they are based on has proven to be a fruitful ground for interaction of researchers from different disciplines in physics, biology, engineering, mathematics and scientific computation.

We plan to revisit existing intersections and to explore future directions in modeling, analysis and numerics of classical and quantum transport in semiconductor devices, and classical transport in biological ionic channels, and related topics.

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WORKSHOP OBJECTIVES

The last two decades have seen an enormous amount of research activities in both mathematical analysis and numerical simulations of the semiconductor device equations as well as the ion transport equations for biological channels. We can foresee even more activities in this area given the potential industrial applications of semiconductor device and biological channel modeling.

This workshop will bring together experts representing a variety of different approaches to semiconductor models as well as biological systems to report their current research results in order to foster future collaborations and strengthen existing ones between mathematicians and semiconductor/biological channel researchers.

This week-long workshop will consist of expository lectures by leaders in different disciplines, regular research presentations and panel discussions on future directions. Interactions between people from different communities will be an important component of the workshop.


FOCAL POINTS

  • Classical & quantum transport in semiconductor devices
  • Semi-classical device modeling: hydrodynamic and kinetic models
  • Inverse problems in semiconductors and biological systems
  • Ionic channels

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ORGANIZING COMMITTEE

Name

Affiliation

Arizona State University

Iowa State University

University of Vienna

University of Maryland



INVITED PARTICIPANTS & DIRECTORY

Name

Affiliation

CSCAMM Office

Phone

University of Vienna

4150

5-9579

Vienna University of Technology

4141

5-0658

Rush Medical Center, Chicago

4131

5-1217

University of Texas at Austin

4135

5-1330

Arizona State University

4131

5-1217

University of Maryland, Baltimore County

4141

5-0658

University of Maryland

3101 Math Bldg

5-5127

Osaka University

4141

5-0658

Iowa State University

4129

5-0459

University of Maryland

3313 Math Bldg

5-5148

University of Miami

4123

5-1647

Universita di Ferrara

4141

5-0658

University of Illinois

4141

5-0658

Universita di Catania

4135

5-1330

Illinois Institute of Technology

4125

5-1648

University of Maryland

2205 Physics Bldg

5-6145

University of Maryland

4307 CSS Bldg

5-4836

University of Maryland

2332 Physics Bldg

5-6156

University of Maryland

2212C Physics Bldg

5-6172


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ACKNOWLEDGMENT

Partial support provided by Wittgenstein Award 2000 of Peter Markowich, funded by the Austrian Science Fund.



SCHEDULE

Monday May 19, 2003

9:00 - 9:50

COFFEE

9:55

Eitan Tadmor Welcome Remarks


Morning Session    Chair:  Sankar Das Sarma (University of Maryland)

10:00 - 10:45
 

Carl Gardner (Arizona State University)
"Recent Results for (1) The Smooth Quantum Hydrodynamic Model for Semiconductor Devices, & (2) An Electrodiffusion Model of the Biological Channel" [PDF]

11:00 - 11:45
 

Dave Levermore (University of Maryland)
"Transition Regime Models for Semiconductor Devices" [PDF]

12:00 - 2:00

LUNCH BREAK


Afternoon Session    Chair:  Hailiang Liu (Iowa State University)

2:00 - 2:45
 

Igor Zutic (University of Maryland)
"Semiconductor Spintronics" [PDF]

3:00 - 3:45
 

Jian-Guo Liu (University of Maryland)
"Ground State of Nonlinear Schršodinger Equation as a Limit of a Gradient Flow" [PDF]

3:45 - 4:15

COFFEE BREAK

4:15 - 5:00

Irene Gamba (University of Texas, Austin)
"Quantum charged transport and the boundary value problem" [PDF]



Tuesday May 20, 2003

9:30 - 10:00

COFFEE


Morning Session    Chair:  Carl Gardner (Arizona State University)

10:00 - 10:45
 

Robert Eisenberg  (Rush Medical Center, Chicago)
"Ion Channels, Devices of Molecular Biology" [PDF]

11:00 - 11:45
 

Wolfgang Nonner (University of Miami)
"Current in ion channels described as drift-diffusion of charged hard spheres" [PDF]

12:00 - 2:00

LUNCH BREAK


Afternoon Session    Chair:  Irene Gamba (University of Texas, Austin)

2:00 - 2:45
 

Giovanni Russo (Universita di Catania)
"Hydrodynamical models for semiconductor device simulation" [PDF]

3:00 - 3:45
 

Hailiang Liu (Iowa State University)
"Critical Thresholds in Euler-Poisson Equations and Related Models" [PDF]

3:45 - 4:15

COFFEE BREAK

4:15 - 5:00
 

Discussion
"Hydrodynamic vs. kinetic theory approaches to semiconductor device modeling" [PDF]
Moderators: Carl Gardner and Dave Levermore

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Wednesday May 21, 2003

9:00 - 9:30

COFFEE


Morning Session    Chair:  Robert Pego (University of Maryland)

10:00 - 10:45
 

Marco Saraniti (Illinois Institute of Technology)
"Particle-Based Simulation of Ionic Charge Transport through Biological Ion Channels: Numerical Issues" [PDF]

11:00 - 11:20
 

Sergei Sukharev (University of Maryland)
"Mechanosensitive channels: a multidimensional approach" [PDF]

11:30 - 12:00
 

Yasmin Dolak (Vienna University of Technology)
"A Kinetic Theory Approach to Resolving the Chemotactic Wave Paradox" [PDF]

12:00 - 2:00

LUNCH hosted by CSCAMM


Afternoon Session

2:00 - 5:00

Open for Discussion



Thursday May 22, 2003

9:30 - 10:00

COFFEE


Morning Session    Chair:  Matthias Gobbert (University of Maryland Baltimore County)

10:00 - 10:45
 

Lorenzo Pareschi (Universita di Ferrara)
"Numerical methods in quantum kinetic theory" [PDF]

11:00 - 11:45
 

Hailiang Li (Osaka University)
"Quantum hydrodynamical model for semiconductors" [PDF]

12:00 - 2:00

LUNCH BREAK


Afternoon Session    Chair:  Georg Dolzmann (University of Maryland)

2:00 - 2:45
 

Ingenuin Gasser (Universitat Hamburg)
"On the Relation between Different Macroscopic Semiconductor Models" [PDF]

3:00 - 3:45
 

Matthias Gobbert (University of Maryland, Baltimore County)
"Numerical Simulations of the Boltzmann Transport Equation for Applications in Microelectronics Manufacturing" [PDF]

3:45 - 4:15

COFFEE BREAK

4:15 - 5:00

Open for Discussion



Friday May 23, 2003

9:30 - 10:00

COFFEE


Morning Session    Chair:  Eitan Tadmor (University of Maryland)

10:00 - 10:45
 

Umberto Ravaioli (University of Illinois)
"Adaptation of Computational Electronics approaches for Transport Simulation of Ionic Channels" [PDF]

11:00 - 11:45
 

Fabio Chalub (University of Vienna)
"Kinetic models for Chemotaxis" [PDF]

11:45

Closing Remarks



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FUNDING

A limited amount of funding for participants at all levels is available, especially for researchers in the early stages of their career who want to attend the full program.

CONTACT

Center for Scientific Computation And Mathematical Modeling (CSCAMM)
Computer Science Instructional Center (Building #406)
University of Maryland, College Park
College Park, MD 20742-3289

Email:

Web: /programs/smc03

POSTER

Click Here to view poster [PDF]

PHOTOS

Click Here to view photos of the workshop

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