Related Experiment Video
Updated: Mar 30, 2026

Author Spotlight: Evaluation of Protein-Condensate Dynamics in Live Human Cells
Published on: January 5, 2024
Dynamics of the transverse Ising model with next-nearest-neighbor interactions
P R C Guimarães1, J A Plascak2, O F de Alcantara Bonfim3
1Departamento de Física, Universidade Federal de Viçosa, 36571-000 Viçosa, Minas Gerais, Brazil.
Abstract:
We study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.
More Related Videos
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about...
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Atomic Nuclei: Nuclear Spin State Population Distribution
First Law: Particles in One-dimensional Equilibrium
Van der Waals Interactions

