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Scalability of the Channel Capacity of Electromagnetic Nanonetworks

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                                          !     !     !     !                                                                                          $%%     $%%      ! "#$%#&    !                 !  ’       (  )  *      ’     +   , !  = = )    +   , !         !    = ) ( Θ = !    1 Θ =  1 Θ = log           Θ =      ) 1 ( Θ =         &   ) 1 ( Θ =           !  ( )  log Θ = -        ) 1 ( Θ =     ! ’            ! ’           = ( ) Θ =  -   = ) ( 2 4  π ( ) 4 Θ = . !  2 4 ) ( =  π ( ) 4 Θ = ’  (  % )" ’  )*+*                         & &           & &   "# "# ,- ./ ’ % ,- ./ ’ % "# "# ,- ./ ’ % ,- ./ ’ %   % %   % %        *           !         ’  /   0  /   0  /  /                           !        !   "                              ( ) log Θ =    !         1   "                2
& ! " # , - . / ' % % % * ! ' / / → $% 0 / → % ! "# $%#& ! ! ( = ) = → ' * → ' + , ! = Θ( ) → ! ! ! → "  1  = Θ     − log  = Θ    = Θ(1) & ! = Θ(− log ) = Θ(− log ) - = Θ(1) ! ! ' =Θ ( )= - . ' ( )  4π ( )=  ! ( % )" ' )*+*    2 ( ) =Θ4 1 " ∞ → 2
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