Nonlinear energy dissipation and transfers in coarsening systems

During coarsening, small structures disappear, leaving behind only large ones. Here we study the spectral energy transfers in Model A, where the order parameter ϕ evolves via nonconserved dynamics. We show that the nonlinear interactions dissipate fluctuations and facilitate energy transfers among the Fourier modes so that only ϕ(k=0), where k is the wave number, survives at the end and approaches the asymptotic value +1 or -1. We contrast the coarsening evolution for the initial conditions with 〈ϕ(x,t=0)〉=0 and with uniformly positive or negative ϕ(x,t=0).

Medienart:

E-Artikel

Erscheinungsjahr:

2023

Erschienen:

2023

Enthalten in:

Zur Gesamtaufnahme - volume:107

Enthalten in:

Physical review. E - 107(2023), 3-1 vom: 26. März, Seite 034207

Sprache:

Englisch

Beteiligte Personen:

Verma, Mahendra K [VerfasserIn]
Agrawal, Ramgopal [VerfasserIn]
Yadav, Pradeep Kumar [VerfasserIn]
Puri, Sanjay [VerfasserIn]

Links:

Volltext

Themen:

Journal Article

Anmerkungen:

Date Completed 19.04.2023

Date Revised 19.04.2023

published: Print

Citation Status PubMed-not-MEDLINE

doi:

10.1103/PhysRevE.107.034207

funding:

Förderinstitution / Projekttitel:

PPN (Katalog-ID):

NLM35576895X