Scaling probability distribution of granular chains in two dimensions

Guan Wang, Ning Zheng, Pingping Wen, Liangsheng Li and Qingfan Shi

Physica A: Statistical Mechanics and its Applications, 2014, vol. 407, issue C, 192-197

Abstract: We experimentally investigate the scaling probability distributions of various intrachain distances of granular chains in two-dimensional static packing, the chain length of which ranges from N=64 to 2048. With the scaling method proposed in the polymer theory, the scaled data from granular chains tend to cluster together so as to form a single experimental fitting curve. We find that the statistical distributions for all chains show a striking scaling behavior which can be described by Redner–des Cloizeaux formula in polymer theory. Finally, a crucial contact exponent is estimated from the fitting curve and compared with that from self-avoiding walk and compacted polymer models.

Keywords: Probability distribution function; Scaling; Granular chains; Polymer; Persistence length; Entanglement (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:407:y:2014:i:c:p:192-197

DOI: 10.1016/j.physa.2014.03.066

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