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Just a general question, can cooper pairs be explained using the casimir effect?
Vanadium 50 said:No - Cooper pairs are bound by phonons.
Enthalpy said:In other words, the probability of an electron being at 5+ sigma is MUCH lower than at 5 sigma. This slope is steeper at 5 sigma than at 1 sigma.
Enthalpy said:Phase transition and sudden kick:
Well, if you say that resistivity appears as soon as 1 electron in 10.000 is unpaired or hot or out-of-crystalline-order or any other effect, then you get a very sudden kick from any kind of transition that would be smooth for each single electron, like a standard Fermi statistics.
In other words, the probability of an electron being at 5+ sigma is MUCH lower than at 5 sigma. This slope is steeper at 5 sigma than at 1 sigma.
Within such an explanation, the transition energy for a single electron (or a pair if you prefer, this is a separate question) must be several times higher than the superconductor's critical temperature.
I strongly believe this is the fundamental reason for resistivity to appear so brutally over a narrow temperature span.
Cooper pairs are a phenomenon in condensed matter physics where two electrons with opposite spin and momentum form a bound state, resulting in superconductivity.
Cooper pairs play a crucial role in understanding the behavior of superconductors, which have zero resistance to electrical current. They also provide evidence for the existence of an energy gap in superconductors.
The Casimir effect is a quantum phenomenon where two uncharged plates placed in close proximity experience an attractive force due to the fluctuations in the vacuum energy. In the context of Cooper pairs, the Casimir effect is used to explain the decrease in the critical temperature of superconductors under the influence of a magnetic field.
Yes, the Casimir effect has been observed in various experiments, such as the measurement of the attractive force between two parallel plates or the change in the frequency of a vibrating membrane due to the presence of a nearby plate.
Studying Cooper pairs and the Casimir effect has led to the development of superconducting technologies, such as MRI machines and particle accelerators, which have numerous applications in medicine, research, and energy production. Additionally, a deeper understanding of these phenomena could potentially lead to the creation of new materials with unique properties and applications.