Palindrom said:Hi all,
Can the second law of Thermodynamics be proven? (I mean, starting with the definition S=kln(Ohmega).)
If not.. is it just an empiric fact?
dextercioby said:Nope.In the axiomatical approach to equilibrium SM,Boltzmann's formula
[tex] S\left(E,V,N)=k\ln \Omega^{*}_{E,\Delta E} (E,V,N) [/tex]
is just a result,a theorem if u prefer.
Nothing is "empirical" in SM...
Daniel.
Palindrom said:Hi all,
Can the second law of Thermodynamics be proven? (I mean, starting with the definition S=kln(Ohmega).)
If not.. is it just an empiric fact?
The Second Law of Thermodynamics states that in any isolated system, the total entropy (or disorder) will always increase over time. This means that energy will naturally flow from areas of higher concentration to areas of lower concentration, resulting in a decrease in usable energy.
The proof of the Second Law of Thermodynamics relies on statistical mechanics and probability. It can be mathematically proven that in a closed system, the number of possible microstates (or arrangements) of particles that result in a high entropy state is much greater than the number of microstates that result in a low entropy state.
One of the most commonly cited evidence is the increase in entropy over time in various natural processes, such as the diffusion of molecules, heat transfer, and chemical reactions. This is observed in both macroscopic and microscopic systems and is consistent with the predictions of the Second Law.
No, the Second Law of Thermodynamics is considered a fundamental law of nature and has never been violated or disproven. However, it is important to note that the law applies to isolated systems, so it is possible to decrease entropy in a local system by inputting energy from an external source.
The Second Law of Thermodynamics is often associated with the concept of disorder or randomness. This is because as entropy increases, the system becomes more disordered and less predictable. However, it is important to note that entropy is a measure of energy dispersal, not necessarily disorder. Some systems, such as crystals, can have low entropy but still exhibit a high degree of order.