A molecular dynamics study of surface-directed spinodal decomposition on a chemically patterned amorphous substrate
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arXiv
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| Format: | Preprint |
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2025
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| author | Zaidi, Syed Shuja Hasan Teherpuria, Hema Mogurampelly, Santosh Jaiswal, Prabhat K. |
| author_facet | Zaidi, Syed Shuja Hasan Teherpuria, Hema Mogurampelly, Santosh Jaiswal, Prabhat K. |
| contents | We employ a molecular dynamics (MD) study to explore pattern selection in binary fluid mixtures ($AB$) undergoing surface-directed spinodal decomposition on a chemically patterned amorphous substrate. We chose a checkerboard pattern with chemically distinct square patches of a side $M$, with neighboring patches preferring different particle types. We report the efficient transposition of the substrate's pattern as a \emph{registry} to the fluid cross sections in its vicinity when the pattern's periodicity $λ/σ\simeq 2M$ ($σ$ being the fluid particle size) is larger than the mixture's spinodal length scale $λ_c/σ\simeq 2π/ξ_B$ ($ξ_B$ being the bulk correlation length). Our correlation analysis between the surface field and the surface-\emph{registries} in the substrate's normal direction shows that the associated decay length, $L_{\perp}(t)$, increases with decreasing pattern periodicity ($λ$). $L_{\perp}(t)$ also exhibits diffusive growth with time $\sim t^{1/3}$, similar to wetting-layer growth for chemically homogeneous walls. Our MD results also show the emergence of composition waves parallel to the substrate, whose wavelength exhibits dynamical scaling with a power-law growth in time $L_{||}(z,t)\sim t^α$. $L_{||}(z,t)$ shows dynamical crossovers from a transient \emph{surface-registry} regime to universal \emph{phase-separation} regimes for cross-sections with \emph{registries}. We also give an account of the scaling of \emph{registry's} formation and melting times with patch sizes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A molecular dynamics study of surface-directed spinodal decomposition on a chemically patterned amorphous substrate Zaidi, Syed Shuja Hasan Teherpuria, Hema Mogurampelly, Santosh Jaiswal, Prabhat K. Soft Condensed Matter Materials Science Statistical Mechanics We employ a molecular dynamics (MD) study to explore pattern selection in binary fluid mixtures ($AB$) undergoing surface-directed spinodal decomposition on a chemically patterned amorphous substrate. We chose a checkerboard pattern with chemically distinct square patches of a side $M$, with neighboring patches preferring different particle types. We report the efficient transposition of the substrate's pattern as a \emph{registry} to the fluid cross sections in its vicinity when the pattern's periodicity $λ/σ\simeq 2M$ ($σ$ being the fluid particle size) is larger than the mixture's spinodal length scale $λ_c/σ\simeq 2π/ξ_B$ ($ξ_B$ being the bulk correlation length). Our correlation analysis between the surface field and the surface-\emph{registries} in the substrate's normal direction shows that the associated decay length, $L_{\perp}(t)$, increases with decreasing pattern periodicity ($λ$). $L_{\perp}(t)$ also exhibits diffusive growth with time $\sim t^{1/3}$, similar to wetting-layer growth for chemically homogeneous walls. Our MD results also show the emergence of composition waves parallel to the substrate, whose wavelength exhibits dynamical scaling with a power-law growth in time $L_{||}(z,t)\sim t^α$. $L_{||}(z,t)$ shows dynamical crossovers from a transient \emph{surface-registry} regime to universal \emph{phase-separation} regimes for cross-sections with \emph{registries}. We also give an account of the scaling of \emph{registry's} formation and melting times with patch sizes. |
| title | A molecular dynamics study of surface-directed spinodal decomposition on a chemically patterned amorphous substrate |
| topic | Soft Condensed Matter Materials Science Statistical Mechanics |
| url | https://arxiv.org/abs/2512.10542 |