A Lower Bound for the Number of Elastic Collisions
We prove by example that the number of elastic collisions of n balls of equal mass and equal size in d -dimensional space can be greater than n 3 /27 for n ≥ 3 and d ≥ 2 . The previously known lower bound was of order n 2 .
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| Veröffentlicht in: | Communications in mathematical physics 2019-12, Vol.372 (2), p.679-711 |
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| container_title | Communications in mathematical physics |
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| creator | Burdzy, Krzysztof Duarte, Mauricio |
| description | We prove by example that the number of elastic collisions of
n
balls of equal mass and equal size in
d
-dimensional space can be greater than
n
3
/27 for
n
≥
3
and
d
≥
2
. The previously known lower bound was of order
n
2
. |
| doi_str_mv | 10.1007/s00220-019-03399-3 |
| format | Article |
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n
balls of equal mass and equal size in
d
-dimensional space can be greater than
n
3
/27 for
n
≥
3
and
d
≥
2
. The previously known lower bound was of order
n
2
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n
balls of equal mass and equal size in
d
-dimensional space can be greater than
n
3
/27 for
n
≥
3
and
d
≥
2
. The previously known lower bound was of order
n
2
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n
balls of equal mass and equal size in
d
-dimensional space can be greater than
n
3
/27 for
n
≥
3
and
d
≥
2
. The previously known lower bound was of order
n
2
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00220-019-03399-3</doi><tpages>33</tpages><orcidid>https://orcid.org/0000-0001-7337-6189</orcidid></addata></record> |
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| ispartof | Communications in mathematical physics, 2019-12, Vol.372 (2), p.679-711 |
| issn | 0010-3616 1432-0916 |
| language | eng |
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| subjects | Classical and Quantum Gravitation Collisions Complex Systems Elastic scattering Lower bounds Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical |
| title | A Lower Bound for the Number of Elastic Collisions |
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