Programme

P.2 -- Posters, VCTP-50

Date: Tuesday, 5 August 2025

Time: 08:30 - 10:00

Stochastic generation of magnetization in the one-dimensional Ising model exposed to Gaussian white, Brownian red, and pink noises

Vladimir P. Villegas

Department of Physics, School of Foundational Studies and Education, Mapua University

To project to a particular final state, stochastic resetting is a useful tool among lattice systems. At the same time, as fluctuations of physical properties are observable among experiments, perturbing toy models with noise subjected to noise provide more insights into experimental results observed in laboratories. In this study, simulations involving a one-dimensional Ising spin chain subject with reset probability and particular kinds of noise are performed. Perturbing the lattice with a Brownian red noise exhibits plateaus of magnetization in certain time intervals at fixed temperatures compared to that of the Gaussian white noise. However, both kinds of noise exhibit random fluctuations of magnetization as functions of temperature. A smoother downward trend as the temperature increases is exhibited when the lattice is exposed to pink noise. Progress in this line of research can lead to applications ranging from understanding of material properties to biological and medical phenomena such as in epidemiology.

Presenter: Villegas Paat Vladimir