{tag=Alloy}

An alloy of <iron> and <carbon>. Because such allys have had such incredible historical importance due to their different properties, different <phases> of <Fe-C> have well known names such as <steel>

\Image[https://upload.wikimedia.org/wikipedia/commons/8/8a/Iron_carbon_phase_diagram.svg]
{title=<Temperature> vs <Carbon>% <phase diagram> of <Fe-C>}


Fe-C

{c}
{tag=Statistical mechanics model}
{title2=1920}
{wiki}

Toy model of matter that exhibits <phase transition> in dimension 2 and greater. It does not provide numerically exact results by itself, but can serve as a tool to theorize existing and new <phase transitions>.

Each point in the lattice has two possible states: TODO insert image.

As mentioned at: https://stanford.edu/~jeffjar/statmech/intro4.html[] some systems which can be seen as modelled by it include:
* the spins direction (up or down) of atoms in a <magnet>, which can undergo phase transitions depending on temperature as that characterized by the <Curie temperature> and an externally applied magnetic field

  Neighboring spins like to align, which lowers the total system energy.
* the type of atom at a lattice point in a 2-metal <alloy>, e.g. <Fe-C> (e.g. <steel>). TODO: intuition for the neighbor interaction? What likes to be with what? And aren't different phases in different crystal structures?

Also has some funky relations to <renormalization> TODO.

Bibliography:
* https://stanford.edu/~jeffjar/statmech/intro4.html

\Video[https://www.youtube.com/watch?v=K--1hlv9yv0]
{title=The Ising Model in Python by Mr. P Solver}
{description=The dude is crushing it on a <Jupyter Notebook>.}


Ising model

{title2=Fe-C}
{wiki}

A <phase> of <Fe-C> characterized by the low ammount of <carbon>.

\Image[https://upload.wikimedia.org/wikipedia/commons/8/8a/Iron_carbon_phase_diagram.svg]


Ciro Santilli @cirosantilli 36

 Incoming links: Fe-C