Graph Spectra of Carbon Nanotube Networks: Molecular Communication
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0951-E04-06
Graph Spectra of Carbon Nanotube Networks: Molecular Communication Stephen Francis Bush1 and Yun Li2 1 CDS, GE Global Research, 1 Research Circle, Building KW Room C512, Niskayuna, NY 12309, Niskayuna, NY, 12309 2 CDS, GE Global Research, One Research Circle, KW-B405, Niskayuna, NY, 12309
ABSTRACT The capability of random carbon nanotube networks (CNT) to carry and fuse information while simultaneously performing sensing is explored. One may imagine small CNT networks with functionalized nanotubes simultaneously sensing multiple targets in-vivo for unprecedented understanding of biological pathways. This is clearly distinct from the traditional convoluted approach of using CNT networks to construct transistors that are in turn used to construct communication networks. With random CNT network layouts, routing of information is an integral part of the physical layer [2]. A Mathematica [9] analysis for evaluating random CNT networks has been developed and used to verify design characteristics [3, 4, 5]. The graph spectrum of the CNT network is used to determine resistance and electron mobility characteristics. Thus, we have been able to find relationships among CNT network structure and electron mobility. The nanotube density allows for an increase in the number of bits per square meter of information transfer compared to wireless communication. Consider a wireless network; a typical bit-meters/second capacity is limited in a traditional wireless network [6]. The maximum wireless capacity approximation in a wireless broadcast media is contrasted with a CNT network; we look at the efficiency of CNT networks to carry information and compare with theoretical limits. INTRODUCTION Many FETs are required to build legacy network equipment. The result is that nano-scale networks are embedded within each device that might be otherwise more effectively utilized for communication. Consider re-thinking the communication architecture such that the CNT network itself is the communication media and individual nanotubes are the links. Much research has gone into understanding how to align tubes. Unfortunately, cost and separation of impurities (metallic tubes) is still an unsolved problem. In the approach proposed in this paper, lower-cost, randomly oriented tubes are directly utilized as a communication media. Figure 1 illustrates a sample communication network where users at a molecular level simultaneously share random CNT network bandwidth. The black lines depict the nanotubes and the dark red lines show input/output channels (or probes) into the network media. Each user has a distinguishable impact on the receiver (the range of conductances over which it communicates) via network interaction as shown by the range of resistances (color-banded bar along the bottom of the figure) from each user as shown in the Figure 1.
Figure 1. Communication channels through an embedded random carbon nanotube network. Graph spectral analysis To analyze such networks a graph spectral analysis is used. Spectral analysis reveals the t
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