|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Application of Edwards' statistical mechanics to high dimensional jammed sphere packings | | Yuliang Jin
; Patrick Charbonneau
; Sam Meyer
; Chaoming Song
; Francesco Zamponi
; | | Date: |
2 Sep 2010 | | Abstract: | The isostatic jamming limit of frictionless spherical particles from Edward’s
statistical mechanics [Song et al. Nature (2008)] is generalized to arbitrary
dimension $d$. An asymptotic high-dimensional behavior is obtained by
saddle-point evaluation and checked numerically. The resulting random close
packing density scaling $phisim d 2^{-d}$ is consistent with that of other
approaches, such as replica theory and density functional theory. The validity
of various structural approximations is assessed by comparing with three- to
six-dimensional isostatic packings obtained from simulations. These numerical
results are consistent with a growing accuracy of the theory with dimension. | | Source: | arXiv, 1009.0546 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER