### Abstract

In this paper, we investigate information-theoretic scaling laws, independent from communication strategies, for point-to-point molecular communication, where it sends/receives information-encoded molecules between nanomachines. Since the Shannon capacity for this is still an open problem, we first derive an asymptotic order in a single coordinate, i.e., i) scaling time with constant number of molecules m and ii) scaling molecules with constant time t. For a single coordinate case, we show that the asymptotic scaling is logarithmic in either coordinate, i.e., Θ(log t) and Θ(log m), respectively. We also study asymptotic behavior of scaling in both time and molecules and show that, if molecules and time are proportional to each other, then the asymptotic scaling is linear, i.e., Θ(t) = Θ(m).

Original language | English |
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Title of host publication | 2014 IEEE International Symposium on Information Theory, ISIT 2014 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 1281-1285 |

Number of pages | 5 |

ISBN (Print) | 9781479951864 |

DOIs | |

Publication status | Published - 2014 Jan 1 |

Event | 2014 IEEE International Symposium on Information Theory, ISIT 2014 - Honolulu, HI, United States Duration: 2014 Jun 29 → 2014 Jul 4 |

### Publication series

Name | IEEE International Symposium on Information Theory - Proceedings |
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ISSN (Print) | 2157-8095 |

### Other

Other | 2014 IEEE International Symposium on Information Theory, ISIT 2014 |
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Country | United States |

City | Honolulu, HI |

Period | 14/6/29 → 14/7/4 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Information Systems
- Modelling and Simulation
- Applied Mathematics

### Cite this

*2014 IEEE International Symposium on Information Theory, ISIT 2014*(pp. 1281-1285). [6875039] (IEEE International Symposium on Information Theory - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2014.6875039