selfAdjoint said:
Exactly, and just as Newton is not true in the more general case of high speeds, so the second law is not true in the general case of open systems, where its hypotheses are violated:
In every closed system the entropy is non decreasing
You are completely misguided.
1) appealing to strictness of second law i was (it is obvious for anyone with a minimum knowledge) rebating the popular
but wrong idea of physics literature that Newton laws are laws of nature whereas the second law is a "statistical" law.
2) I newer said that Second law was absolute. In fact, in my papers and preprints i newer said that. For example in (CPS: physchem/0309002) I said
Either, the validation or the possible invalidation of classical thermodynamics in those “exotic” regimes, for a definite class of systems, has both a great theoretical –e.g. arrows of time, theory of quantum dissipative systems, etc.– and technical –e.g. nanotechnology, molecular biology, supramolecular chemistry, etc.– interest. The author thinks that dogmas have no room in science. The scientific laws of nature are formulated in restrictive experimental and/or theoretical frameworks. Therefore, is useful to believe that the formulation of final scientific laws, that are always valid anywhere is a very difficult objective.
3)
The second law is perfectly valid in open systems. You say is completely wrong. Has you heard about the thermodynamics of open systems guy?
I recommend to you very, very, very old literature on the topic. See, for example,
famous Prigogine monograph
Introduction to thermodynamics of irreversible processes 1955.
Prigogine received the Nobel Prize for chemistry 1977 for his work in open systems, specially dissipative structures.
AS already SAID in post #8
The second laws read
d
iS > 0 for disissipative phenomena and
d
iS = 0 for equilbrium phenomena.
If,
and only if, the the system is
isolated (no "closed" like you incorrectly say) the d
eS = 0 and then dS = diS > 0 or dS = diS = 0.
That is entropy S is non decreasing (*).
If system is non isolated (e.g. open) then dS =/= diS, and
dS can be positive, negative, or zero in function of external flows of matter and energy.
In living systems (mature) the ss approach can be used and the production of entropy by metabolic processes is almost canceled by external flows of entropy (mainly expulsion of residue by cells metabolism) and dS = 0.
Therefore, the living body maintain its structures (its order) "forever".
(*) Note that i did not say that was valid elsewhere. Your "in
every closed system the entropy is non decreasing" is also wrong when one studies small (nano) systems.
However, and this was the error of Wang
et al paper i cited, that does not imply a violation of the second laws. Precisely the result obtained by Wang et al are compatible with the second law until the second order in perturbation series of thermodynamic fluctuations theory.