Friday, April 1, 2011
A Test on Statistical Mechanics for Fundie Blowhards
Well, we've already beheld that the loud mouth creationist nincompoops are incapable of even taking a basic test on evolution, far less passing it, e.g.
But now let's see if we can make it easier for these bombastic blowhards, and give them a basic test on statistical mechanics, which includes basic principles of how order originates in simple spin magnet systems. Now, we mustn't expect too much here, knowing their limited IQs, but since basic mechanical, molecular systems are by definition less complex than biological well, they MAY be able to perform better! Maybe even get one correct! So here we go, and the accompanying figures may be referred to since we don't wish to stretch their visualization abilities too far, lest their ossified brains burst!
Basic Test on Statistical Mechanics for Fundie Blowhard Critics of Spontaneous Order
1)Consider the simple spin system shown in the top diagram. (Where t could be in billions of years or hundreds of seconds, depending on the system).
a) What system would most likely have t in billions of years?
b) Which system would most likely have t in seconds?
Give the reasons for your choice in each case, (a) and (b).
c) By examining the orientatation of the spin magnets, compute the "spin excess" in each case, for time t(o) and time: t(o) + t. Is the direction of change from order to disorder, or the converse? Explain.
d)In terms of the measure of "spin excess", give the difference in terms of the order. Account for this direction of change in the direction given for time.
e) Quantify the magnetic energy for the system at time t(o) compared to time t(o) + t, if the magnetic energy of one spin magnet can be written:
M = -uB cos Θ
where u is the magnetic moment (-eL/2m, L = 1) and assume Θ = +/- π, and B = 1G (gauss).
Does this agree with your results from (c) and (d) or not? Explain.
f) Based on your results, at which time does the spin system have the greatest entropy and WHY?
g) What do you conclude from (f) if the change in spin magnet system is spontaneous?
2. The diagram for Fig. 2 shows a multiple bifurcation process. In general this will refer to the energy and order changes in a dynamic system over time, wherein both stable (equilibrium) and chaotic conditions can be produced. Chaos and order, in other words, can be differentiated on the basis of where they appear in relation to the original bifurcation.
a) Which region of the diagram would have the greatest degree of order? Why?
b)Which region would have the greatest degree of disorder? Why?
c) Say that S = log (g) determines the entropy for a statistical mechanical system, where g denotes the number of accessible states. Then, would region E or F have a larger entropy? Would region B or C have a larger entropy? Would region A or E have the larger entropy?
We will wait to see if these big mouths and blowhards can answer even one correctly, but the betting here is they won't! They will cop out like they did with the basic test on evolution! So much for their BS and ignorant pontifications about recognizing that when a 'book is written it must have an author' blah, blah. If they can't distinguish order in the simplest statistical mechanical realm, and discriminate from human concepts of design and order, these idiots know nothing! But hey, we knew that anyway, even before April FOOLS' Day!