VI.D Self–Duality in the Two Dimensional Ising Model
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چکیده
The function g (which contains the singular part of the free energy) must have a special symmetry that relates its values for dual arguments. (For example the function f(x) = x/(1 + x) equals f(x), establishing a duality between the arguments at x and x.) Eq.(VI.23) has the following properties: 1. Low temperatures are mapped to high temperatures, and vice versa. 2. The mapping connects pairs of points sinceD(D(K)) = K. This condition is established by using trigonometric identities to show that sinh 2K =2 sinhK coshK = 2 tanhK cosh K
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VI.D Self–Duality in the Two Dimensional Ising Model
The function g (which contains the singular part of the free energy) must have a special symmetry that relates its values for dual arguments. (For example the function f(x) = x/(1 + x) equals f(x), establishing a duality between the arguments at x and x.) Eq.(VI.23) has the following properties: 1. Low temperatures are mapped to high temperatures, and vice versa. 2. The mapping connects pairs o...
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