Control of friction at the nanoscale

Barhen, Jacob; Braiman, Yehuda Y.; Protopopescu, Vladimir

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Title: Control of friction at the nanoscale

Abstract

Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power .xi.=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.

Inventors:: Barhen, Jacob; Braiman, Yehuda Y.; Protopopescu, Vladimir

Issue Date:: Tue Apr 06 00:00:00 EDT 2010

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1176221

Patent Number(s):: 7693587

Application Number:: 10/770,857

Assignee:: UT-Battelle, LLC (Oak Ridge, TN)

Patent Classifications (CPCs):: C - CHEMISTRY C10 - PETROLEUM, GAS OR COKE INDUSTRIES C10M - LUBRICATING COMPOSITIONS

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C - CHEMISTRY C10 - PETROLEUM, GAS OR COKE INDUSTRIES C10M - LUBRICATING COMPOSITIONS
C10M171/00 - Lubricating compositions characterised by purely physical criteria, e.g. containing as base-material, thickener or additive, ingredients which are characterised exclusively by their numerically specified physical properties, i.e. containing ingredients which are physically well-defined but for which the chemical nature is either unspecified or only very vaguely indicated

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DOE Contract Number:: AC05-00OR22725

Resource Type:: Patent

Country of Publication:: United States

Language:: English

Subject:: 77 NANOSCIENCE AND NANOTECHNOLOGY; 42 ENGINEERING

Citation Formats


                    Barhen, Jacob, Braiman, Yehuda Y., and Protopopescu, Vladimir. Control of friction at the nanoscale.  United States: N. p., 2010. 
        Web.

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                    Barhen, Jacob, Braiman, Yehuda Y., & Protopopescu, Vladimir. Control of friction at the nanoscale.  United States.

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                    Barhen, Jacob, Braiman, Yehuda Y., and Protopopescu, Vladimir. Tue .  
        "Control of friction at the nanoscale".  United States.  https://www.osti.gov/servlets/purl/1176221.

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@article{osti_1176221,

  title        = {Control of friction at the nanoscale},

  author       = {Barhen, Jacob and Braiman, Yehuda Y. and Protopopescu, Vladimir},

  abstractNote = {Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power .xi.=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.},

  doi          = {},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Tue Apr 06 00:00:00 EDT 2010},

  month        = {Tue Apr 06 00:00:00 EDT 2010}

}

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