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arxiv: 1011.5463 · v1 · pith:HBF4E4TKnew · submitted 2010-11-24 · 🧮 math-ph · cond-mat.stat-mech· math.MP

The energy density of an Ising half plane lattice

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords boundarydensityenergyhalfisinglatticeplaneanalysis
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We compute the energy density at arbitrary temperature of the half plane Ising lattice with a boundary magnetic field $H_b$ at a distance $M$ rows from the boundary and compare limiting cases of the exact expression with recent calculations at $T=T_c$ done by means of discrete complex analysis methods.

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