Page 42 - swp0000.dvi

distributions and the hot dust is assumed to be heated adiabatically. The

one-dimensional continuity equations for cold and hot dust, respectively,

are,


 
+ (    )=0 (2.1.a)
 
  
+ (    )=0 (2.1.b)
 

The corresponding momentum equations are,

   φ
 
+(  )  − =0 (2.1.c)
    
     φ 1  
+(  )  − + =0 (2.1.d)
         

where   for adiabatic hot dust, is given by

  
  =  0 ( )  (2.1.e)
 0

and  =( +2) with  is the number of degrees of freedom. For the

present work  =1, and hence,  =3 and  0 =  0 ;   is in energy units.
The Boltzmann distributed (isothermal) electrons follow the distribution

  =  0  (   ) (2.1.f)
  

The electrons and ions temperatures   and   À   where   is the tem-

perature of hot dust. The Poisson equation can be written as,

2
 φ
=4(  −   +     +     ) (2.1.g)
 2

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