I'm still checking things out, talking with my partner, and doing some preliminary planning (finding physical venues, seeing if there are existing groups [which I would join and then NOT have to start and manage my own group], etc.)
More posts on this topic to follow.
LAWS OF THERMODYNAMICS, cut and pasted from the Wiki article, with my emphases (bold and italic) added where stat and prob math applies
The First Law states that energy cannot be created or destroyed; rather, the amount of energy lost in a steady state process cannot be greater than the amount of energy gained. This is the statement of conservation of energy for a thermodynamic system. It refers to the two ways that a closed system transfers energy to and from its surroundings - by the process of heating (or cooling) and the process of mechanical work. The rate of gain or loss in the stored energy of a system is determined by the rates of these two processes. In open systems, the flow of matter is another energy transfer mechanism, and extra terms must be included in the expression of the first law.
The First Law clarifies the nature of energy. It is a stored quantity which is independent of any particular process path, i.e., it is independent of the system history. If a system undergoes a thermodynamic cycle, whether it becomes warmer, cooler, larger, or smaller, then it will have the same amount of energy each time it returns to a particular state. Mathematically speaking, energy is a state function and infinitesimal changes in the energy are exact differentials.
All laws of thermodynamics but the First are statistical and simply describe the tendencies of macroscopic systems. For microscopic systems with few particles, the variations in the parameters become larger than the parameters themselves, and the assumptions of thermodynamics become meaningless. The First Law, i.e. the law of conservation, has become the most secure of all basic laws of science. At present, it is unquestioned.
The entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.
In a simple manner, the second law states "energy systems have a tendency to increase their entropy rather than decrease it." This can also be stated as "heat can spontaneously flow from a higher-temperature region to a lower-temperature region, but not the other way around." (Heat can flow from cold to hot, but not spontaneously—for example, a refrigerator requires electricity.)
Second Law
A way of looking at the second law for non-scientists is to look at entropy as a measure of disorder. So, for example, a broken cup has less order (more entropy) than an intact one, and it is more difficult to repair a broken cup (reducing its entropy) than to break an intact one (increasing its entropy). Likewise, solid crystals, the most organized form of matter, have very low entropy values; and gases, which are highly disorganized, have high entropy values.
The entropy of a thermally isolated macroscopic system never decreases. However, a microscopic system may exhibit fluctuations of entropy opposite to that dictated by the Second Law
THIRD LAW
As temperature approaches absolute zero, the entropy of a system approaches a constant minimum.
In brief, this postulates that entropy is temperature dependent and leads to the formulation of the idea of absolute zero.
Large, open thermodynamic systems (which is to say most known physical systems whose constituent components are larger than molecules) can only be rationalized by using inference, probability and other statistical methods that describe complex open systems. So poker math and large-scale thermo math are similar because they are describing radically dissimilar systems that just happen to conform to similar "rules."
ENTROPY
OK, so entropy is a physical constant, or at least the "rate of decay" is assumed to be such. This involves a steady state or phase change from complex and energized to simple and less energized (but never quite losing all integrity and energy). One would think that the typical thermodynamics math would cover it, but it doesn't. Instead, much of the math employed to describe entropy is based on things not normally associated with thermodynamics, like probability and game theory. So, if this is a simple phase/state change that happens at a universal and relatively constant rate, why is the math used to describe it that also used to describe behaviors in complex variable open systems? How does a phase change relate to games of chance? What is going on here?
MOMENTUM
What is the relation between entropy and momentum? (Because there is a relationship) How do both of these relate to the conservations? (motion, mass, energy)
This is my brain teaser for the evening. I'll probably be poring over references later tonight.
![]() | You are viewing Log in Create a LiveJournal Account Learn more | Explore LJ: Life Entertainment Music Culture News & Politics Technology |