The key to Understanding Energy in Nanotechnology &...
Transcript of The key to Understanding Energy in Nanotechnology &...
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Energy Localization
The key to Understanding Energy in
Nanotechnology & Nature
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Nature assembles ordered
structures out of chaos without a
temperature gradient or energy
input.
Systems generally go from ordered to
chaotic.
How does nature go from the chaotic to
ordered?
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Atoms in most solids vibrate at high
frequency and low amplitude
Atoms’ nuclei generally reside in parabolic potential
wells.
The nuclei undergo simple harmonic motion as if
they were connected by springs.
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Some Materials have non-parabolic
potential wells
They produce nonlinear vibrational
modes
Large Amplitude, Low Frequency Vibrational modes
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superconductors have very large
amplitude vibrational modes
Levitating magnet
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Ideal Springs obey Hooke’s Law F= -k1X
M1 M2 Mn
Equipartition of Energy
Every mass has the same vibrational energy
Enrico Fermi, 1954 Los Alamos MAINIAC I
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Non ideal Springs • F = -k1X + k2X
2
• Energy is not equally Shared
• Energy is Localized
Vibrationally cold
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Fermi & Ulam found that Energy is
Localized when there is:
1. A countable number of elements
2. Nonlinear coupling between the elements
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Energy Localized vibrational
modes are so large that they
can break and reform bonds.
Locally, the vibrations act like
very hot regions with active
chemistry.
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Nanoparticles in the 3 - 12 nm size
regime have both properties:
1. A countable number of atoms
A large fraction of the atoms are near
the surface and reside in shallow, non-
parabolic potential wells
2. Nonlinear Coupling
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Energy localization at the
nanoscale circumvents the 2nd
Law of Thermodynamics
Ordered structures can be assembled from Chaos
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Energy Localized vibrational
modes are so large that they
can break and reform bonds.
Locally, the vibrations act like
very hot regions with active
chemistry.
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The ferromagnetic effect is very
different at the nanoscale
Energy Localization Controls the Process
Critical features for any nanodevice should
be processed in the 3 - 12nm size regime.
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Nano-magnetism
Super-Ferromagnetism
• Ferromagnetism is a cooperative phenomenon
• Ferrites processed at 3 – 12nm have cooperative
oscillations
• Magnetic vortices arise at that dimension
• Vortex interactions extract energy via energy
localization
• Ferrites run cold as a result
• Energy source is undetermined