Work

Effect of presence of rigid impurities in a system of annihilating domain walls with dynamic bias

Year: 2025

Type: article

Abstract: The dynamics of interacting domain walls, regarded as a system of particles which are biased to move towards their nearest neighbors and annihilate when they meet, have been studied in the recent past. We study the effect of the presence of a fraction $r$ of quenched impurities (which act as rigid walkers) on the dynamics. Here, in the case where two domain walls or one impurity and one domain wall happen to be on the same site, both get simultaneously annihilated. It is found that for any nonzero value of $r$, the dynamical behavior changes as the surviving fraction of particles $\ensuremath{\rho}(t)$ attains a constant value. $\ensuremath{\rho}(t){t}^{\ensuremath{\alpha}}$ shows a universal behavior when plotted against ${r}^{\ensuremath{\beta}}{t}^{\ensuremath{\alpha}}$ with $\ensuremath{\alpha},\ensuremath{\beta}$ values depending on whether the particles are rigid or nonrigid. Also, the values differ for the biased and unbiased cases. The timescale associated with the particle decay shows that it varies with $r$ in a power-law manner with an exponent $\ensuremath{\approx}\frac{\ensuremath{\beta}}{\ensuremath{\alpha}}$ as expected.

Source: Physical review. E

DOI: 10.1103/fjrk-cb1p

Authors: Reshmi Roy, Parongama Sen

Institutions: Homi Bhabha National Institute, Institute of Mathematical Sciences, Institute of Mathematical Sciences, University of Calcutta

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Institute of Mathematical Sciences, Council of Scientific and Industrial Research, India

Award: G6017035110