Nonlinear energy dissipation and transfers in coarsening systems.
basic_science · Level V
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- Record sourced from PubMed, PMID 37073025.
- Also identified by DOI 10.1103/PhysRevE.107.034207.
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Abstract
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).