Maxwell demon

"in the philosophy of thermal and statistical physics, Maxwell's demon is athought experiment created by the Scottish physicist James Clerk Maxwellto "show that the Second Law of Thermodynamics has only a statistical certainty."It demonstrates Maxwell's point by hypothetically describing how to violate the Second Law: A container is divided into two parts by an insulated wall, with a door that can be opened and closed by what came to be called "Maxwell's demon"; the demon opens the door to allow only the "hot" molecules of gas to flow through to a favored side of the chamber, causing that side to gradually heat up while the other side cools down."

from : http://en.wikipedia.org/wiki/Maxwell's_demon

Can we do what Maxwell believe in ?? 

 I think we can , by using some of his amazing equations in electromagnetic and kinetic theory of gases.

all what we need is the following : 

Maxwell Demon

two sphere and one of them positively charged and the other thermally insulated  , a connecting tube  and negatively ionized gas.


How does it work ?
when the ionized gas move from right tank to the left one , the atoms speed decrease due to work done against the electric field force , which is due to the left spherical tank .
not all the ionized atom can reach the left tank , the ion must have enough kinetic to overcome the electric field 

Where :

                   Ke min  is the minimum kenetic energy that the ion gas atom must have to reach the left 

                   tank

                   E          is the electric field of the left tank .

                   C             is the electric charge of the ionized gas atom.

                   L          is the distance between the two tanks.

What will happen ??

 First       : all the ionized gas atoms are at the same temperature , which is equal to the surrounding     

                  temperature.

Second     : some of the fast ions will reach the left tank and loosing some of its kinetic energy , ie. Its 

                 temperature will decrease .

                

Third       : when the ion get inside the left tank , the electric field is zero, so it will be cooler than the 

                 tank wall and heat will transfer from the surrounding to the tank wall to the ions .

Fourh      : the ions after some time will came back again to the connecting tube , and start its journey to 

                 the right tank , but now electric field is in its side , pushing it , its speed and kinetic energy 

                 increasing , ie its temperature increasing and will reach the right tank at higher temperature 

                 than the surround temperature.

Fifth        : the right tank temperature increasing at the expense of heat energy of the surrounding .