Molecular Channel Characterization for a Rectangular Container With Reflecting and Absorbing Boundaries
The motion of molecules in a constrained fluid environment is defined by specified boundary conditions. Deriving analytical channel characterization of a bounded fluid environment is challenging as the solution must satisfy the given boundaries. In this letter, we derive the probability distribution...
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| Veröffentlicht in: | IEEE communications letters 2020-02, Vol.24 (2), p.234-238 |
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| container_title | IEEE communications letters |
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| creator | Ankit Bhatnagar, Manav R. |
| description | The motion of molecules in a constrained fluid environment is defined by specified boundary conditions. Deriving analytical channel characterization of a bounded fluid environment is challenging as the solution must satisfy the given boundaries. In this letter, we derive the probability distribution function (PDF) of molecular motion inside a rectangular container with reflective and absorbing boundaries. Using the molecular motion's PDF, we deduce an analytical expression for the PDF of the first arrival time (FAT) of the molecules to an absorbing wall. Furthermore, we also evaluate the capacity for a temporally modulated molecular communication (MC) system in the bounded environment. |
| doi_str_mv | 10.1109/LCOMM.2019.2958637 |
| format | Article |
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Deriving analytical channel characterization of a bounded fluid environment is challenging as the solution must satisfy the given boundaries. In this letter, we derive the probability distribution function (PDF) of molecular motion inside a rectangular container with reflective and absorbing boundaries. Using the molecular motion's PDF, we deduce an analytical expression for the PDF of the first arrival time (FAT) of the molecules to an absorbing wall. Furthermore, we also evaluate the capacity for a temporally modulated molecular communication (MC) system in the bounded environment.</description><identifier>ISSN: 1089-7798</identifier><identifier>EISSN: 1558-2558</identifier><identifier>DOI: 10.1109/LCOMM.2019.2958637</identifier><identifier>CODEN: ICLEF6</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Absorbing and reflecting boundaries ; Boundary conditions ; Chain dynamics ; Communications systems ; Containers ; Distribution functions ; first arrival time ; molecular communication ; Molecular motion ; Probability distribution functions ; rectangular container</subject><ispartof>IEEE communications letters, 2020-02, Vol.24 (2), p.234-238</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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Deriving analytical channel characterization of a bounded fluid environment is challenging as the solution must satisfy the given boundaries. In this letter, we derive the probability distribution function (PDF) of molecular motion inside a rectangular container with reflective and absorbing boundaries. Using the molecular motion's PDF, we deduce an analytical expression for the PDF of the first arrival time (FAT) of the molecules to an absorbing wall. Furthermore, we also evaluate the capacity for a temporally modulated molecular communication (MC) system in the bounded environment.</description><subject>Absorbing and reflecting boundaries</subject><subject>Boundary conditions</subject><subject>Chain dynamics</subject><subject>Communications systems</subject><subject>Containers</subject><subject>Distribution functions</subject><subject>first arrival time</subject><subject>molecular communication</subject><subject>Molecular motion</subject><subject>Probability distribution functions</subject><subject>rectangular container</subject><issn>1089-7798</issn><issn>1558-2558</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9UMlOwzAUtBBIlMIPwCUS5xQviZdjidikVpUQiKPlOE6bKtjFdg7w9Tik4vIWvZl5owHgGsEFQlDcrarNer3AEIkFFiWnhJ2AGSpLnuNUTtMMucgZE_wcXISwhxByXKIZ2K5db_TQK59VO2Wt6cfulY7Gdz8qds5mrfOZyl6NjspuJ6izUXXW-Oyji7t0apNI7Ow2U7bJlnVwvh63ezfYRvnOhEtw1qo-mKtjn4P3x4e36jlfbZ5equUq18l3zFEDOWEtwwUygibrGtUN0bgRpC2UNnXRIIZbrZTGEFJWwJIpymuuINWcUDIHt5PuwbuvwYQo927wNr2UmJQMQ8EoTig8obR3IXjTyoPvPpX_lgjKMVD5F6gcA5XHQBPpZiJ1xph_AhckeaDkF_YJcrg</recordid><startdate>20200201</startdate><enddate>20200201</enddate><creator>Ankit</creator><creator>Bhatnagar, Manav R.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| ispartof | IEEE communications letters, 2020-02, Vol.24 (2), p.234-238 |
| issn | 1089-7798 1558-2558 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Absorbing and reflecting boundaries Boundary conditions Chain dynamics Communications systems Containers Distribution functions first arrival time molecular communication Molecular motion Probability distribution functions rectangular container |
| title | Molecular Channel Characterization for a Rectangular Container With Reflecting and Absorbing Boundaries |
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