nano-soft matter
DESCRIPTION
Nano-soft matter. Hsuan-Yi Chen Dept of Physics and Center for Complex Systems, NCU. Outline. Motivation: crazy dreams Self-assembly Non-equilibrium dynamics Summary. Motivation: why is nanoscience important or interesting?. Dream:. Example:. - PowerPoint PPT PresentationTRANSCRIPT
Crazy dreams (good for publicity, and indeed, this is
what we want!)
We will build nano-machines.
Nano-machines will be intellegent and change (save) our lives.
How realistic is the above statement?
The true lives in nano-world and the hard facts about our crazy dreams
Different dynamics, universal attractive interactions, molecular recognition, mass production, cost/effect……
Back to basic physics of our real world: Intermolecular forces
• All from E&M (some are QM)• Direct Coulomb: 1/r• Dipole in external E field 1/r3
• Dipole-dipole • Dipole-induced dipole, van der Waals 1/r6
• Electrolyte, salt, etc. exp(-r/k)• ** A likes A more than A likes B**. Why??
What can these interactions do for us in systems withmany (say, 100 to 100,000) particles?
Phase transitions and new phases
How to make that kind of structure??
Learn some statistical physics first!
Road to equilibrium: F = U-TS minimumHigh T: large S,
homogeneous phase (ex. Gas)
Low T: small U, ordered phase (ex. Crystal)
Phase transition: (interaction energy) ~ T
(entropy difference)O.Ikala and G. t. BrinkeScience 295 2408 (2002)
AB: energy cost for a pair of A-B neighbors Entropy gain for mixing a pair ofA-B particles ~ kB
Simple systems: Binary fluids
A
B
F = U – TS
Phase separation at kT < O(AB)
A+B
Want to get cool structures?? Use principles of symmetry breaking.Use polymers.
Symmetry breaking : road to special “patterns”
Solidification: isotropic fluid phase anisotropic solid
Rev. Mod. Phys. 52, 1 (1980) Large curvature = large temperature gradient = fast growth
Polymers: material to make “patterns”
homopolymer
coarse-grained view
take thermal fluctuationsinto accountSize: submicron
+
++
+ +
+ + + +
AB diblock copolymer
ABC (linear) triblock copolymer
ABC triblock star
comb
A B
A B C
Block copolymers: designer’s material
AB Interaction between A, B links.
f A Volume fraction of A links.
N Number of links along a chain.
More parameters will be used if we consider more complicated architectures.
Modeling diblock copolymers
Principles of pattern selection in block copolymer melt
• F = F(elastic) + F(interfacial)• F(elastic) ~ (domain size)2
• F(interfacial) ~ (domain size)-1
• F(homogeneous) ~ fAfBN• Compare free energy per chain for diff
erent phases.
Applications: dots
M. Park, C. Harrison, P.M. Chaikin, R.A. Register, and D.H. Adamson
Science 276, 1401 (1997)
Polymer “alloys” designed in nanoscale
triblock pentablock
C.Y. Ryu, et al, Macromolecules, 35 9391 (2002)
Nonequilibrium dynamics: make nano-machines
• Nonequilibrium: beyond “partition function” physics.
• What is new for motion in “wet” environment, at nm scale?
• Can we utilize these special features?
Navier-Stokes equation and Reynolds number in nm scale
In cgs units: l~10-7, v~10-7, Re<<1. Strongly overdamped motion.
inertia effect viscous effect
protein folding and protein motors: overdamped, Brownian motion
http://folding.stanford.edu/education/prstruc.html
Science 1999 Nov 26; 286: 1687.
Robert H. Fillingame
I.M. Janosi et al, Eur. Biophys. J. 27, 501 (1998)
Microtubule: non-equilibrium, self-assembled tracks in cells
+ - + - + - +
+2 10 nmRev. Mod. Phys. 69, 1269 (1997)
Nano-machines work on the tracks
Brownian motion is important for life.
Science 290, (2002)
Nanodevice with natural rotatory motors
How to make structures like this? (inside a cell)
Need to construct simpler model systems to understand pattern formation in systems of this kind.
Leibler 97: quasi-2d experiments
Kinesin “multimers”.
Kinesins move towards “+” ends. Finally they accumulate near the center.
Taxol: control microtubule length and number
Most of the exp were done without taxol.
Leibler 97: aster and vortex
1. Microtubule length: short = aster, long = vortex. 2. Get vortex at late time due to a “buckling instability”.3. Forming aster is not the only possible route leading to the vortex structure.
Leibler 97: large systems
1. Kinesin concentration has important effects on the resulting pattern. (low=vortices, medium=asters, high=bundles)
2. When two asters overlap sufficiently, they can merge. This process may determine final distance between asters.
Leibler 01: One motor result (still 2d)
Kinesin: + end motorNcd: - end motorVortices only seen in kinesin exp
+ end points outward for Ncd + MT (see MT seed in `h’)
Leibler 01: Two motors result
Motor concentration increases Local MT bundles, poles between bundles
Low kinesin/NcdstarsHigh kinesin/Ncd vortices
Kinesin localized in every other pole(+ poles)