Spatial stochastic resonance in 1D Ising systems

TL;DR

This paper introduces the concept of spatial stochastic resonance in 1D Ising systems, showing how a periodic magnetic field induces a resonance in magnetization response due to thermal fluctuations.

Contribution

It analytically demonstrates a new form of stochastic resonance in 1D Ising models driven by spatially periodic fields, distinct from classical temporal stochastic resonance.

Findings

Maximum correlation at specific temperatures and field intensities

Resonance phenomenon driven by thermal fluctuations and spatial periodicity

Distinct from classical stochastic resonance mechanisms

Abstract

The 1D Ising model is analytically studied in a spatially periodic and oscillatory external magnetic field using the transfer-matrix method. For low enough magnetic field intensities the correlation between the external magnetic field and the response in magnetization presents a maximum for a given temperature. The phenomenon can be interpreted as a resonance phenomenon induced by the stochastic heatbath. This novel "spatial stochastic resonance" has a different origin from the classical stochastic resonance phenomenon.