I What are thermal fluctuations?

Trollfaz
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I often think thermal fluctuations as random changes in the temperature but when it is said in the context "thermally fluctuate over the energy barrier" does it mean to classically overcome the barrier?
 
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I believe it usually means that something has been given enough energy to overcome a barrier via the random collisions in a collection of particles, such as the evaporation of water when it is far below its boiling point. Some water molecules are given enough energy to overcome the attraction of the surface molecules and escape into the air. They get this energy by colliding with a number of other water molecules such that enough energy is given to them to overcome the barrier.
 
Hi. I have got question as in title. How can idea of instantaneous dipole moment for atoms like, for example hydrogen be consistent with idea of orbitals? At my level of knowledge London dispersion forces are derived taking into account Bohr model of atom. But we know today that this model is not correct. If it would be correct I understand that at each time electron is at some point at radius at some angle and there is dipole moment at this time from nucleus to electron at orbit. But how...

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