The deeper I go into
Thermodynamics, the more it begins to look like a wonderland.

In the past, I've mechanics
explain to me the principles of physics using engines as an example.
They could do this without using math or any advanced physics speak,
but they still explained it perfectly. We can learn physics without
math, especially if we spend 10,000 hours working with the laws in
the physical world. The math is doorway to a different world,
however; a Narnia or Wonderland where we can learn how to control
what those laws can do. Math is the language we use to share the
workings of the world, and we can use it create and discover new
things.

Math can be a terrifying sight to
the newcomer though. It's full of things like imaginary numbers,
logarithms, and differential equations. Statistical Mechanics is no
different really. I'm focusing today on Boltzmann's entropy
equation, which is the product of a constant and the natural
logarithm of probability. Feel free to scratch your head.

Ludwig Boltzmann was one the first
people to give real weight to the idea of atoms. In works like

*Statistical Mechanics*, he discusses how large complex mechanisms are made up of smaller individual processes. This lead to the idea that something like entropy was the result of the random movements of sub-atomic particles. He derived his equation entropy is equal to k(lnW) to explain the motion of this particles. K is what is now called Boltzmann's constant, W is the potential movement of the particles, and ln is a natural logarithm. Now everybody in the room say it with me: WTF? It's a logarithm of probability? Seriously? Shit.
This is that
scary thing I talked about earlier. After staring at this for a
couple of weeks now, I can say that logarithms are not hard if you
understand exponents. Log 10 is equal to 1. Another way to say this
is 10 to the first power is equal to 10. ln is a natural log, so
instead of base 10, it's base of e.

Now that you
have a very basic rundown on logarithms, it's kind of easy to see why
we need it for entropy. If entropy increases due to energy, and some
of the increase in energy is due to entropy, then the growth of
entropy is exponential. This exponent is dependent on the potential
movement of molecules. It is potential because we have no way of
predicting their exact movements as the energy increases. It's that
drunken walk in probability. What I'm trying to get at is this: the
growth is exponential due to the crazy movements of some sub-atomic
particles. We find this exponent by taking the log of their
potential energy.

OK, deep
breath. The total entropy comes when you multiply this exponent with
Boltzmann's constant. The constant is the relationship of of
absolute temperature and kinetic energy in a molecule of a perfect
gas. But really, it's (1.3807 times 10 to the negitive 23 power)
joules per kelvin. Isn't that simple? If you just combine all these
factors, you can chart the growth of entropy of an isolated system.

Back up a
moment, isolated system? Yeah that's right, isolated system. The
reason why you should be cursing Boltzmann and physics right now is
because a truly isolated system is theortical. Boltzmann even says
that in his paper. There is always another system that heat transfer
is going on with, usually it's air. And that, ladies and gentlemen,
is why physics frustrates me sometimes. The equations that meant to
be used with real things are based on theoretical things. I'm gonna
stop and lie down before my brain explodes.

I can't stay
mad though. This hobby helps my understanding of the world. I
wonder if this writings will help anyone else.

Banned complain !! Complaining only causes life and mind become more severe. Enjoy the rhythm of the problems faced. No matter ga life, not a problem not learn, so enjoy it :)

ReplyDeleteObat Kulit Bersih

Obat Pilek Menahun

Obat Alami Batu Empedu

Obat Lupus

Obat Ginjal Bocor

Obat Infeksi Lambung

Penanganan TBC Kelenjar

Obat Gatal Bibir Vagina

Cara Menghilangkan Infeksi Jantung

Obat Penyakit Jantung

Obat Herbal