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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2604.02855 |
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| _version_ | 1866908934765281280 |
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| author | Yadav, Pradeep Kumar Verma, Mahendra K. Puri, Sanjay |
| author_facet | Yadav, Pradeep Kumar Verma, Mahendra K. Puri, Sanjay |
| contents | In studies of turbulence, there has been extensive use of physical quantities such as {\it energy transfers} and {\it structure functions}. We examine whether these quantities can be useful in understanding problems of domain growth or coarsening, as modeled by the {\it time-dependent Ginzburg-Landau} (TDGL) equation and the {\it Cahn-Hilliard} (CH) equation. This paper has two major themes. First, we review our recent papers on energy transfers in domain growth. Second, we study structure functions and intermittency for coarsening systems. As a consequence of sharp interfaces, the structure functions scale as $S_q \sim r^{ζ_q}$, where $r$ is the distance between two points. For the TDGL and CH models, $ζ_q = 1$, indicating {\it anomalous scaling} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02855 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structure Functions and Intermittency for Coarsening Systems Yadav, Pradeep Kumar Verma, Mahendra K. Puri, Sanjay Statistical Mechanics In studies of turbulence, there has been extensive use of physical quantities such as {\it energy transfers} and {\it structure functions}. We examine whether these quantities can be useful in understanding problems of domain growth or coarsening, as modeled by the {\it time-dependent Ginzburg-Landau} (TDGL) equation and the {\it Cahn-Hilliard} (CH) equation. This paper has two major themes. First, we review our recent papers on energy transfers in domain growth. Second, we study structure functions and intermittency for coarsening systems. As a consequence of sharp interfaces, the structure functions scale as $S_q \sim r^{ζ_q}$, where $r$ is the distance between two points. For the TDGL and CH models, $ζ_q = 1$, indicating {\it anomalous scaling} |
| title | Structure Functions and Intermittency for Coarsening Systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.02855 |