How to calculate thermal vibration?

[ctech4285]

lets say you build a capacitor heat engine that is made of two charged parallel plates. let's say one plate is hotter then the other and do to the thermal vibration one is moving more then the other. you should be able to convert the mechanical vibration to electrical current. now the question, what is the frequency and amplitude of an object vibrating do to the temperature?

also if there is no temp difference then there is still relative change in postion of the plates since they would vibrate somewhat radomly. then if you extract the electrical work you would violate some laws. so why can you not extract that work or is there no work done in the first place?

 

[russ_watters]

Sorry, no, you can't turn heat directly into work. That's a violation of the second law of thermodynamics. To be more specific, the vibration is random: it isn't coherent enough to make it physically vibrate an entire object.

 

[ctech4285]

To be more specific, the vibration is random: it isn't coherent enough to make it physically vibrate an entire object.

thats not true
for +-intergers
random+random!=0

if you have an infinitily large statisical sample it tends to be might be 0 (not sure if that's true for all cases)
then again the vibration is not random it just apreas that way because if you have a large sample.

Sorry, no, you can't turn heat directly into work.

yeah hence you need a temp difference. i just don't really understand the mechanics of it in this particular case.

consider this, you take a very small charged mass hang it on a string in a vacum. let's say like 1000 atoms. and then you look and ajust a secondary field in such a way that the mass will vibrate less and less. in this case you would be extracting energy. if you need more energy to do it then you remove from mass in the ration of 1-(T1/T2) it would work but i don't see how.
anywho i just want to see if you could device a simple heat engine that can turn a temp difference into work