Thermodynamic equipartition of energy theorem - application to life

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To determine the probability of a water molecule passing through a 4kT energy barrier, one must consider the average energy of the water molecules, which is influenced by their degrees of freedom. Water molecules in the SPC/E model have three translational and three rotational degrees of freedom, leading to an average energy of 3/2kT for translational motion and kT for rotational motion at 320K. The presence of ions in the system also affects the overall energy, with their average energy calculated as 3/2kT. Additionally, factors like pressure and fluid interactions should be considered, as they complicate the dynamics of molecular movement. Utilizing the Maxwell-Boltzmann Distribution may provide a rough estimate for the behavior of water molecules in this context.
trelek2
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hi, I'm simulating a system of molecules (water) and in order to pass through a barrier they have to overcome an energy barrier of 4kT. What is the probability of a water molecule passing the barrier or perhaps what is the average energy of a water molecule in my system?

I know it's 1/2 *kT per each degree of freedom, but how many degrees of freedom do my water molecules have? (I'm simulating at 320K, water molecules are SPC/E).

Oh, and i also have ions in my system. What is their average energy? 3/2kT?

Thanks for any insight!
 
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Did you mean degrees of freedom per water molecule?

http://www.pha.jhu.edu/~broholm/l37/node5.html

Perhaps you should also take into consideration the pressure and pressure difference in the water?
 
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It's not that trivial for fluids due to interactions. You can basically look at Maxwell-Boltzman Distribution which deals with something very similar for gases, and you might be able to use it as a rough estimate for water, but don't expect anything particularly good out of it.
 
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