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arXiv · 2606.16848

Exact solution of the Glauber-Ising model on the finite-length semi-open chain

Malte Henkel
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Abstract

The exact time-space correlation function of the $1D$ Glauber-Ising model, quenched to temperature $T=0$ and on a semi-open lattice of finite size $N$, is obtained. This also allows to deduce the exact empty-interval probability of the dual $1D$ coagulation-diffusion process on a periodic finite ring and to reproduce the long-time decay of the particle concentration. These results are consistent with the generic expectations of dynamical finite-size scaling theory.

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Malte Henkel. 2026-06-15. Exact solution of the Glauber-Ising model on the finite-length semi-open chain. https://doi.org/10.3390/e28070771

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