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Assessing a Linear Nanosystem's Limiting Reliability from its Components
- Source :
- Journal of Applied Probability. 45:879-887
- Publication Year :
- 2008
- Publisher :
- Cambridge University Press (CUP), 2008.
-
Abstract
- Nanosystems are devices that are in the size range of a billionth of a meter (1 x 10-9) and therefore are built necessarily from individual atoms. The one-dimensional nanosystems or linear nanosystems cover all the nanosized systems which possess one dimension that exceeds the other two dimensions, i.e. extension over one dimension is predominant over the other two dimensions. Here only two of the dimensions have to be on the nanoscale (less than 100 nanometers). In this paper we consider the structural relationship between a linear nanosystem and its atoms acting as components of the nanosystem. Using such information, we then assess the nanosystem's limiting reliability which is, of course, probabilistic in nature. We consider the linear nanosystem at a fixed moment of time, say the present moment, and we assume that the present state of the linear nanosystem depends only on the present states of its atoms.
- Subjects :
- Statistics and Probability
Billionth
General Mathematics
010102 general mathematics
Probabilistic logic
01 natural sciences
Moment (mathematics)
Combinatorics
010104 statistics & probability
Range (mathematics)
Probability theory
Cover (topology)
Dimension (vector space)
Statistical physics
0101 mathematics
Statistics, Probability and Uncertainty
Nanoscopic scale
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....03a8afd206a0d8e0e6023fc8d26f2826