Session:
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The Wonderful World of AJP
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Paper Type:
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Invited
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Title:
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The Enticing World of Quantized Wheels
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Meeting:
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2017 Winter Meeting: Atlanta, Georgia |
Location:
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N/A |
Date:
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Time:
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1:30PM
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Author:
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Eduardo De Campos Valadares,
Federal University of Minas Gerais (UFMG),
+55 31 34095675, ecamposv@fisica.ufmg.br
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Co-Author(s):
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None
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Abstract:
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A simple approach is presented allowing one to determine all possible wheels that can roll smoothly without slipping on a periodic roadbed, while keeping their center of mass at fixed height. The inverse problem of obtaining the roadbed profile compatible with a specific wheel and all other related "quantized wheels" is also addressed. In contrast with geometrically quantized nanosystems like carbon nanotubes, the "ground state" might have a lower symmetry than that required by the periodic roadbed and hence is a "forbidden state." In this cases a new road profile must be found compatible with the "ground state" wheel. Several illustrative examples are discussed that highlight the different possibilities related to non-conventional wheels, including possible applications and the impossibility of "stars" rolling smoothly.
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Footnotes:
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None
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Presentation:
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HF03_Valadares.pdf
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