University of Washington - Applied Mathematics
SIAM
English
PhD
Systems Biology
Applied Math
Harvard University
BS
Mathematics
Physics
Chemistry
Alpha Phi Omega
Honors Program
Tae Kwon Do
Clarkson University
Cell Biology
Systems Biology
numerical solvers
Data Analysis
non-linear pdes
Biofuels
Metabolic Engineering
Matlab
Molecular Biology
Mathematical Modeling
Sustainability
cyanobacteria
Physics
Materials Science
Science
matlab
Non-monotonic effect of growth temperature on carrier collection in SnS solar cells
et al.
PI authors: R. G. Gordon and T. Buonassisi\nOpen Access: https://dash.harvard.edu/handle/1/23894154\nWe quantify the effects of growth temperature on material and deviceproperties of thermally evaporated SnSthin-films and test structures. Grain size
Hall mobility
and majority-carrier concentration monotonically increase with growth temperature. However
the charge collection as measured by the long-wavelength contribution to short-circuit current exhibits a non-monotonic behavior: the collection decreases with increased growth temperature from 150 °C to 240 °C and then recovers at 285 °C. Fits to the experimental internal quantum efficiency using an opto-electronic model indicate that the non-monotonic behavior of charge-carrier collection can be explained by a transition from drift- to diffusion-assisted components of carrier collection. The results show a promising increase in the extracted minority-carrier diffusion length at the highest growth temperature of 285 °C. These findings illustrate how coupled mechanisms can affect early stage device development
highlighting the critical role of direct materials property measurements and simulation.
Non-monotonic effect of growth temperature on carrier collection in SnS solar cells
Tonio Buonassisi
Roy G. Gordon
Leizhi Sun
Jian V. Li
We preform device simulations of a tin sulfide (SnS) device stack using SCAPS to define a path to 10% efficient devices. We determine and constrain a baseline device model using recent experimental results on one of our 3.9% efficient cells. Through a multistep fitting process
we find a conduction band cliff of -0.2 eV between SnS and Zn(O
S) to be limiting the open circuit voltage (VOC). To move towards a higher efficiency
we can optimize the buffer layer band alignment. Improvement of the SnS lifetime to >1 ns is necessary to reach 10% efficiency. Additionally
absorber-buffer interface recombination must be suppressed
either by reducing recombination activity of defects or creating a strong inversion layer at the interface.
A path to 10% efficiency for tin sulfide devices
I Sokolov
D. ben-Avraham
S Naik
B Carey
YY Kievsky
J. Chem. Phys.
We describe a method to study diffusion of rhodamine 6G dye in single silica nanochannels using arrays of silica nanochannels. Dynamics of the molecules inside single nanochannel is found from the change of the dye concentration in solution with time. A 108 decrease in the dye diffusion coefficient relative to water was observed. In comparison to single fluorescent molecule studies
the presented method does not require fluorescence of the diffusing molecules.
Dynamics of molecular diffusion of rhodamine 6G in silica nanochannels
J. Nathan Kutz
Joshua L. Proctor
Steve L. Brunton
Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems
such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental data enable statistical approaches based on information theory for model selection and goodness-of-fit metrics. We propose an alternative method to infer networked nonlinear dynamical systems by using sparsity-promoting ℓ1 optimization to select a subset of nonlinear interactions representing dynamics on a fully connected network. Our method generalizes the sparse identification of nonlinear dynamics (SINDy) algorithm to dynamical systems with rational function nonlinearities
such as biological networks. We show that dynamical systems with rational nonlinearities may be cast in an implicit form
where the equations may be identified in the null-space of a library of mixed nonlinearities including the state and derivative terms; this approach applies more generally to implicit dynamical systems beyond those containing rational nonlinearities. This method
implicit-SINDy
succeeds in inferring three canonical biological models: Michaelis-Menten enzyme kinetics
the regulatory network for competence in bacteria
and the metabolic network for yeast glycolysis.
Inferring biological networks by sparse identification of nonlinear dynamics
Eric Mazur
Michael P. Brenner
Silvija Gradečak
Tobias M Schneider
Yu-Ting Lin
Matthew Smith
Meng-Ju Sher
Journal of Applied Physics
\nIn this paper
we examine the fundamental processes that occur during femtosecond-laser hyperdoping of silicon with a gas-phase dopant precursor. We probe the dopant concentration profile as a function of the number of laser pulses and pressure of the dopant precursor (sulfur hexafluoride). In contrast to previous studies
we show the hyperdoped layer is single crystalline. From the dose dependence on pressure
we conclude that surface adsorbed molecules are the dominant source of the dopant atoms. Using numerical simulation
we estimate the change in flux with increasing number of laser pulses to fit the concentration profiles. We hypothesize that the native oxide plays an important role in setting the surface boundary condition. As a result of the removal of the native oxide by successive laser pulses
dopant incorporation is more efficient during the later stage of laser irradiation.
Femtosecond-laser hyperdoping silicon in an SF6 atmosphere: Dopant incorporation mechanism
Eric Mazur
Michael P. Brenner
Shouhyuan Zhou
Guoliang Deng
Tobias M Schneider
Sophie Marbach
Yu-Ting Lin
Applied Physics Letters
Femtosecond-laser hyperdoping of sulfur in silicon typically produces a concentration gradient that results in undesirable inhomogeneous material properties. Using a mathematical model of the doping process
we design a fabrication method consisting of a sequence of laser pulses with varying sulfur concentrations in the atmosphere
which produces hyperdoped silicon with a uniform concentration depth profile. Our measurements of the evolution of the concentration profiles with each laser pulse are consistent with our mathematical model of the doping mechanism
based on classical heat and solute diffusion coupled to the far-from-equilibrium dopant incorporation. The use of optimization methods opens an avenue for creating controllable hyperdoped materials on demand.
Creating femtosecond-laser-hyperdoped silicon with a homogeneous doping profile
Tonio Buonassisi
Roy G. Gordon
Xizhu Zhao
Rupak Chakraborty
chuanxi
An outstanding challenge in the development of novel functional materials for optoelectronic devices is identifying suitable charge-carrier contact layers. Herein
we simulate the photovoltaic device performance of various n-type contact material pairings with tin(II) sulfide (SnS)
a p-type absorber. The performance of the contacting material
and resulting device efficiency
depend most strongly on two variables: conduction band offset between absorber and contact layer
and doping concentration within the contact layer. By generating a 2D contour plot of device efficiency as a function of these two variables
we create a performance-space plot for contacting layers on a given absorber material. For a simulated high-lifetime SnS absorber
this 2D performance-space illustrates two maxima
one local and one global. The local maximum occurs over a wide range of contact-layer doping concentrations (below 1016 cm−3)
but only a narrow range of conduction band offsets (0 to −0.1 eV)
and is highly sensitive to interface recombination. This first maximum is ideal for early-stage absorber research because it is more robust to low bulk-minority-carrier lifetime and pinholes (shunts)
enabling device efficiencies approaching half the Shockley-Queisser limit
greater than 16%. The global maximum is achieved with contact-layer doping concentrations greater than 1018 cm−3
but for a wider range of band offsets (−0.1 to 0.2 eV)
and is insensitive to interface recombination. This second maximum is ideal for high-quality films because it is more robust to interface recombination
enabling device efficiencies approaching the Shockley-Queisser limit
greater than 20%.
Framework to predict optimal buffer layer pairing for thin film solar cell absorbers: A case study for tin sulfide/zinc oxysulfide
C Kurdak
X Bai
RS Goldman
D Mao
HA McKay
Y Jin
M Reason
JAP
We have investigated the effects of N on the electronic properties of Si-doped GaAs1−xNx alloy films and AlGaAs/GaAsN modulation-doped heterostructures. For bulk-like alloy films
the electron mobility is independent of free carrier concentration and arsenic species
and decreases with increasing N composition. Thus
N-related defects are the main source of scattering in the dilute nitride alloys. For AlGaAs/GaAsNheterostructures
gated and illuminated magnetoresistance measurements reveal a two-dimensional electron gasmobility which increases with carrier concentration to a constant value. Thus
in contrast to the long-range ionized scattering sources which are dominant in N-free heterostructures
N-induced neutral scattering sources are the dominant source of scattering in AlGaAs/GaAsNheterostructures. Finally
a decrease in free carrier concentration with increasing N composition is apparent for bulk-like films
while the free carrier concentration is independent of N composition in modulation-doped heterostructures. Since N and Si atoms are spatially separated in the modulation-doped heterostructures
N–Si defect complexes in the bulk GaAsN layers are likely acting as trapping centers.
Influence of N on the electronic properties of GaAsN alloy films and heterostructures
Michael P. Brenner
Cyanobacteria are photosynthetic bacteria with a unique CO2 concentrating mechanism (CCM)
enhancing carbon fixation. Understanding the CCM requires a systems level perspective of how molecular components work together to enhance CO2 fixation. We present a mathematical model of the cyanobacterial CCM
giving the parameter regime (expression levels
catalytic rates
permeability of carboxysome shell) for efficient carbon fixation. Efficiency requires saturating the RuBisCO reaction
staying below saturation for carbonic anhydrase
and avoiding wasteful oxygenation reactions. We find selectivity at the carboxysome shell is not necessary; there is an optimal non-specific carboxysome shell permeability. We compare the efficacy of facilitated CO2 uptake
CO2 scavenging
and HCO3− transport with varying external pH. At the optimal carboxysome permeability
contributions from CO2 scavenging at the cell membrane are small. We examine the cumulative benefits of CCM spatial organization strategies: enzyme co-localization and compartmentalization.
Systems analysis of the CO2 concentrating mechanism in cyanobacteria
T. Buonassisi
Spectral splitting of sunlight to increase photovoltaic efficiency beyond the Shockley-Queisser limit has gained interest in recent years. Sensitivity analysis can be a useful tool for system designers to determine how much deviation from ideal conditions can be tolerated for different optical parameters. Understanding the origin of these sensitivities can offer insight into materials and device design. We employ 2-D TCAD simulations to analyze the sensitivity of system performance to\ntwo optical parameters: spectral fidelity (the fraction of photons directed to the intended material)
and the spatial uniformity of illumination intensity. We analyze a system using crystalline silicon (Si) and cuprous oxide (Cu2O) as absorbers. We find that the spectral fidelity of the light directed to the Si cell has to be greater than 90% for the system to outperform a high-efficiency single-junction Si device. Varying the fidelity of the light directed to the Cu2O cell from 55% to 90% changes system efficiency by less than 10% relative. In some cases
increasing the fidelity of this light reduces system efficiency. We find no significant impact of spatial variation on length scales from 600 µm to 4.8 mm in devices with emitter sheet resistance less than 500 Ω/□.
Sensitivity Analysis of Optical Metrics for Spectral Splitting Photovoltaic Systems: A Case Study
Shreyas Mandre
arXiv preprint arXiv:1601.05462
Wind and hydrokinetic turbine array performance suffers because the wakes of upstream turbines diminish flow to downstream turbines. Here we analyze systematic deflection of the wakes to direct unimpeded flow onto the downstream turbines and increase the area power density. We examine the case of an abstract 1D turbine-deflector array aligned parallel to a 2D free stream flow
in which case the array presents negligible frontal area to the flow without deflection. Using the framework of inviscid fluid dynamics
the flow manipulation is decomposed into flow deflection due to bound vorticity in the array
and energy extraction resulting from free vorticity shed by the array. While this general framework is agnostic to the technological details
it captures the geometry of a vertical fence of turbines and deflectors along the centerline of a river
minimizing the array footprint. We find a localized array can direct significant kinetic energy through itself
while having a minimal impact on array efficiency; the fraction of the energy incident on the array that is ultimately extracted. The maximum array efficiency decreases from 57%-39% at high deflection due to recirculation at the edges of the array. However
the increase in deflected flow through the array overwhelms the small efficiency decrease. Using state-of-the-art deflector technology with minimal flow separation
we predict an order of magnitude improvement in array power density
as compared to arrays without systematic flow manipulation. A pragmatic discussion of deflection mechanisms
applications
and future extension to 3D flows are included.
Framework and limits on power density in wind and hydrokinetic device arrays using systematic flow manipulation Authors Shreyas Mandre
Niall M Mangan
C. J. Olson Reichhardt
C. Reichhardt
We show that periodically driven superconducting vortices in the presence of quenched disorder exhibit a transition from reversible to irreversible flow under increasing vortex density or cycle period. This type of behavior has recently been observed for periodically sheared colloidal suspensions and we demonstrate that driven vortex systems exhibit remarkably similar behavior. We also provide evidence that the onset of irreversible behavior is a dynamical phase transition.
Reversible to irreversible flow transition in periodically driven vortices
Mangan
Institute for Disease Modeling at Intellectual Ventures
Brown University
University of Washington
Massachusetts Institute of Technology (MIT)
Northwestern University
Harvard University
Evanston
IL
Assistant Professor of Eng. Sci. and Applied Math
Northwestern University
Using analytic and computational techniques
I model spatial organization problems that arise in material or life-based solar energy. Problems include dopant distributions in semiconductors and cellular organization of biological reactions. Mathematically I am interested in methods for solving nonlinear-diffusion equations with non-trivial geometry.
Harvard University
Massachusetts Institute of Technology (MIT)
Cambridge
MA
Postdoctoral Associate
Bellevue
WA
Institute for Disease Modeling at Intellectual Ventures
University of Washington
Seattle
WA
Acting Assistant Professor in Applied Mathematics
Providence
Rhode Island
Visiting Lecturer in the Engineering Department
Brown University
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