The Genetics Society of America (GSA) Medal recognizes researchers who have made outstanding contributions to the field of genetics in the past 15 years. The 2019 GSA Medal is awarded to Bonnie L. Bassler of Princeton University and the Howard Hughes Medical Institute in recognition of her groundbreaking studies of bacterial chemical communication and regulation of group behaviors.
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Transitioning from underdamped to overdamped behavior in theory and in Langevin simulations of desorption of a particle from a Lennard-Jones potential
- Award ID(s):
- 1707640
- PAR ID:
- 10297047
- Date Published:
- Journal Name:
- Journal of Rheology
- Volume:
- 65
- Issue:
- 6
- ISSN:
- 0148-6055
- Page Range / eLocation ID:
- 1235 to 1243
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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This paper considers the determination of a spatially varying coefficient in a parabolic equation from time trace data. There are many uniqueness theorems known for such problems but the reconstruction step is severally ill-posed: essentially the problem comes down to trying to reconstruct an analytic function from values on a strip. However, we look at an even more restricted data where the measurements are not made on the whole time axis but only for large values adding further to the ill-conditioning situation. In addition, we do not assume the initial state is known. Uniqueness is restored by making changes to the boundary condition, in particular, to the impedance parameter, for each of a series of measurements. We show that an implementation of the above paradigm leads to both uniqueness and an effective reconstruction algorithm. Extension is also made to the case of fractional model and to replacing the parabolic equation with a damped wave equation.more » « less
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