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Computational NanoEnginering of Polymer Surface Systems. Aquil Frost, Environmental Engineering, Central State University John Lewnard, Mechanical Engineering, University of Cincinnati Anne Shim, Biomedical Engineering, The Ohio State University. Conditioner!.
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Computational NanoEnginering of Polymer Surface Systems Aquil Frost, Environmental Engineering, Central State University John Lewnard, Mechanical Engineering, University of Cincinnati Anne Shim, Biomedical Engineering, The Ohio State University
Conditioner! http://www.naturalcosmeticnews.com/recent-news/pg-introduces-pantene-plant-based-plastic-bottles/
How do Simulations Help Pantene? • Simulation will help discover whether conditioner is sticking onto hair • If P&G knew these things they could make better conditioner! • Save time • Save effort • Save money
What can we see? Macro Time Meso Nano Sub-atomic Size
Programs Used Large-scale Atomic/Molecular Massively Parallel Simulator Visual Molecular Dynamics
What Are Polymers? • Consist of repeating units called “monomers” • Polymer industry is larger than the aluminum, copper, and steel industries combined [4]
Surfaces 1. Regular, Rough Oscillations in the x direction: 2 Oscillations in the y direction: 2 Amplitude: 1 Oscillations in the x direction: 1 Oscillations in the y direction: 1 Amplitude: 0.5
Surfaces 2. Random, Rough Hurst Parameter: 0.1 Hurst Parameter0.9
Testing Surfaces www-ee.ccny.cuny.edu
Face Centered Cubic with MATLAB 3 rows, 3 columns, Depth of 1
Face Centered Cubic with MATLAB 3 rows, 3 columns, Depth of 1
Problems? • It’s not that simple!
Fixing the Problem • Fractals • Self similar with a change of scale (magnification)
Brownian Field Uses Fractals • Since Brownian Field has holes or gaps we have simulated a FCC structure using fractals:
Surface Area • Using axb = IaIIbIsin(Ø) (Area) we find area between those two vectors.
The Simulation Process • In order to receive usable data – all variables must be controlled except one • Independent Variable: • Roughness • Sinusoidal Surface – Amplitude and Wavelength • Brownian Surface – Hurst Parameter • Dependent Variables: • Entropy • Energy • Controlled Variables: • Surface Area • Polymer make-up • Surface make-up
LAMMPS Input File • Controls and sets parameters for data file such as: • Bond Coefficients • Angle Coefficients • Dihedral Coefficients • Mass
Polymer Adsorbing onto Surface http://www.technewsworld.com/story/71829.html Polymer adsorbs onto surface using molecular dynamics while data Is taken.
Polymers are Constantly Moving Surface
VMD Image of Polymer Adsorbing onto Surface Image courtesy of Dr. Anderson
Entropy • Entropy – 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
Lennard Jones Potential Equation [2] Energy (v) is a function of distance (r). Interactive Force (Epsilon) Diameter of atom (sigma)
Lennard Jones Potential Equation Distance Energy
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
What will this save? • Time • Effort • Money [7] [8] [9]
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.com