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Equation Plotting

Mathematica Asked by awdft34 on December 26, 2020

I’m using the mean field theory approximation and the Ising Model for magnetization to come up with the following equation:

m(T) = tanh(m(T)/T)

where T is an arbitrary temperature

I’m now trying to plot the left side of the equation (m(T)) and the right side of the equation (tanh(m(T)/T) over a range of x -> [-2,2], y-> [-1.1, 1.1], T -> [0.2,2] in steps of 0,2

Separately I also want to graph the solution m(T) = tanh(m(T)/T) for T -> [0,2] as a continuous function

What syntax would I use?

One Answer

Try ( see @MichaelE2 's comment )

 ContourPlot[m == Tanh[m /T], {T, .2, 2}, {m, -1, 1},FrameLabel -> {T, m}, MaxRecursion -> 5]

enter image description here

Answered by Ulrich Neumann on December 26, 2020

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