Yielding is an absorbing phase transition with vanishing critical fluctuations
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916389962383360 |
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| author | Jocteur, Tristan Figueiredo, Shana Martens, Kirsten Bertin, Eric Mari, Romain |
| author_facet | Jocteur, Tristan Figueiredo, Shana Martens, Kirsten Bertin, Eric Mari, Romain |
| contents | The yielding transition in athermal complex fluids can be interpreted as an absorbing phase transition between an elastic, absorbing state with high mesoscopic degeneracy and a flowing, active state. We characterize quantitatively this phase transition in an elastoplastic model under fixed applied shear stress, using a finite-size scaling analysis. We find vanishing critical fluctuations of the order parameter (i.e., the shear rate), and relate this property to the convex character of the phase transition ($β>1$). We show explicitly that the CDP class is recovered when both properties are relaxed. We locate yielding within a family of models akin to fixed-energy sandpile (FES) models, only with long-range redistribution kernels with zero-modes that result from mechanical equilibrium. For redistribution kernels with sufficiently fast decay, this family of models belong to a short-range universality class distinct from the Conserved Directed Percolation class of usual FES, which is induced by zero modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Yielding is an absorbing phase transition with vanishing critical fluctuations Jocteur, Tristan Figueiredo, Shana Martens, Kirsten Bertin, Eric Mari, Romain Statistical Mechanics Soft Condensed Matter The yielding transition in athermal complex fluids can be interpreted as an absorbing phase transition between an elastic, absorbing state with high mesoscopic degeneracy and a flowing, active state. We characterize quantitatively this phase transition in an elastoplastic model under fixed applied shear stress, using a finite-size scaling analysis. We find vanishing critical fluctuations of the order parameter (i.e., the shear rate), and relate this property to the convex character of the phase transition ($β>1$). We show explicitly that the CDP class is recovered when both properties are relaxed. We locate yielding within a family of models akin to fixed-energy sandpile (FES) models, only with long-range redistribution kernels with zero-modes that result from mechanical equilibrium. For redistribution kernels with sufficiently fast decay, this family of models belong to a short-range universality class distinct from the Conserved Directed Percolation class of usual FES, which is induced by zero modes. |
| title | Yielding is an absorbing phase transition with vanishing critical fluctuations |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2401.11797 |