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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2412.05231 |
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| _version_ | 1866909610732945408 |
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| author | Raj, Abhishek Oganesyan, Vadim Scardicchio, Antonello |
| author_facet | Raj, Abhishek Oganesyan, Vadim Scardicchio, Antonello |
| contents | We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting fermions, the diffusion coefficient is the inverse of the effective mass of the quasiparticles which can be computed using mean-field theory. At a critical density \r{ho} = 2/3, the model undergoes a dynamical phase transition in which exponentially many configurations become jammed while others remain diffusive. The model can be generalized to two dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A kinetically constrained model exhibiting non-linear diffusion and jamming Raj, Abhishek Oganesyan, Vadim Scardicchio, Antonello Statistical Mechanics We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting fermions, the diffusion coefficient is the inverse of the effective mass of the quasiparticles which can be computed using mean-field theory. At a critical density \r{ho} = 2/3, the model undergoes a dynamical phase transition in which exponentially many configurations become jammed while others remain diffusive. The model can be generalized to two dimensions. |
| title | A kinetically constrained model exhibiting non-linear diffusion and jamming |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2412.05231 |