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Computational NanoEnginering of Polymer Surface Systems
Aquil Frost, Environmental Engineering, Central State UniversityJohn Lewnard, Mechanical Engineering, University of CincinnatiAnne Shim, Biomedical Engineering, The Ohio State University
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Polymers in the Real World
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[10] [11]
[12] [13]
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Why Simulations?“Because they provide the
freedom to fail!”• Cost• Time
“Assess real-world processes too complex to analyze via spreadsheets or flowcharts”
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[1]
[2]
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What can we see?
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Sub-atomi
c
Nano
Meso
Macro
Size
Tim
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TimelineWeek
1Week
2Week
3Week
4Week
5Week
6Week
7Week
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Training
Literature Review
Create Surfaces
Create Polymers
Run Simulations
Analyze Simulations
Work on Deliverables
Finish Research Paper
Finish Final Presentation
Finish Research Poster
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Programs Used
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Large-scale Atomic/Molecular Massively Parallel Simulator
Visual Molecular Dynamics
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POLYMER GENERATION
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What Are Polymers? Consist of repeating
units called “monomers”
Polymer industry is larger than the aluminum, copper, and steel industries combined [4]
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Polymer Adsorption
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Using MATLAB to Generate “On-Lattice” Polymer Chains
-12 -10 -8 -6 -4 -2 0-10
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Using MATLAB to Generate “Off-Lattice” Polymer Chains
-1.5-1
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CREATE SURFACES
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Surfaces
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1. Regular, Rough
Oscillations in the x direction: 1Oscillations in the y direction: 1Amplitude: 0.5
Oscillations in the x direction: 2Oscillations in the y direction: 2Amplitude: 0.1
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Surfaces
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2. Random, Rough
Roughness Factor: 0.9Roughness Factor: 0.1
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Testing Surfaces
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www-ee.ccny.cuny.edu
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Face Centered Cubic with MATLAB
3 rows, 3 columns, Depth of 1 16
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Face Centered Cubic with MATLAB
3 rows, 3 columns, Depth of 1 17
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Problems?It’s not that simple!
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Brownian FieldsCreated Using FractalsFractals are a mathematical
concept:◦Self similar with a change of scale
(magnification)
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Brownian Field Uses FractalsSince Brownian Field has holes or
gaps we have simulated a FCC structure using fractals:
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Surface AreaUsing axb = IaIIbIsin(Ø) (Area)
we find area between those two vectors.
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RUN SIMULATIONS
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LAAMPS File
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Polymer Adsorbing onto Surface
0 2 4 6 8 10
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Polymer is randomly placed around surface while data is taken
http://www.technewsworld.com/story/71829.html
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Polymers are Constantly Moving
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Surface
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RUN ANALYSIS
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AnalysisIn order to receive usable data – all
variables must be controlled except oneIndependent Variable:
◦RoughnessDependent Variables:
◦Entropy◦Energy
Controlled Variables:◦Surface Area◦Polymer make-up◦Surface make-up
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EntropyEntropy – How
many options does the polymer have?◦ At bottom of
trough – the polymer is compact - order Not many options
◦ At top of trough – the polymer is free to move - chaos A lot of options
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Energy vs. Distance Analysis – “The Sweet Spot”
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Lennard Jones Potential Equation
[2]
Energy (v) is a function of distance (r).Interactive Force (Epsilon)Diameter of atom (sigma)
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Lennard Jones Potential Equation
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EnergyDistance
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What does this analysis tell us?
The extent at which a polymer exists at a certain entropy level◦Depends on roughness
The distance that leads to the lowest energy potential◦Where is that “sweet spot?”
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Example:
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http://www.naturalcosmeticnews.com/recent-news/pg-introduces-pantene-plant-based-plastic-bottles/
Conditioner!
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How does this information help us?In the development of
conditioner:◦What is the total change in entropy
of the conditioner when adsorbing onto hair?
◦What is the distance from conditioner to hair that achieves the lowest energy level?
If P&G knew these things they could make better conditioner!
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What will this save?
Time
Effort
Money
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[7]
[8]
[9]
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Works Cited[1] (2010). “Polymers”, Chemical of the Week, <
http://scifun.chem.wisc.edu/chemweek/polymers/polymers.html>(May 31, 2013).
[2] (2010). “Lennard-Jones Potential”,UCDavisChemWiki, <http://chemwiki.ucdavis.edu/Physical_Chemistry/Quantum_Mechanics/Atomic_Theory/Intermolecular_Forces/Lennard-Jones_Potential>(May 31, 2013).
[3] (2012). “Solutions: Simulation Software Overview.” Imagine That!, <http://www.extendsim.com/sols_simoverview.html#monteCarlo>(May 29, 2013).
[4] (2012). “What are Polymers? , MAST, <http://matse1.matse.illinois.edu/polymers/ware.html>(May 31, 2013).
[5] (2013). “Why Simulations?” TATA Interactive Systems, <http://blog.tatainteractive.com/2013/01/why-simulations.html>(May 29,2013).
[6] Landau D. P. Binder K. (2000). “Introduction,” “Simple Sampling Monte Carlo Methods ,“Monte Carlo Simulations in Statistical Physics, Press Syndicate of the University of Cambridge, Cambridge, United Kingdom, 1-6, 48-67
[7] http://www.empowernetwork.com/teameaglefreedom/blog/the-clock-is-ticking-tic-toc-tic-toc/
[8] http://emotibot.net/?i=504
[9] http://www.merchantcircle.com/business/National.Lawsuit.Funding.302-792-1400/picture/view/3137972
[10] www.idahofamilyvision.com
[11] www.plasticstoday.com
[12] carterpaintingboulder.com
[13] www.pennysimkin.com36