Universality in many-body driven systems with an umbilic point
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911138646589440 |
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| author | Schmidt, Johannes Krajnik, Žiga Popkov, Vladislav |
| author_facet | Schmidt, Johannes Krajnik, Žiga Popkov, Vladislav |
| contents | We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the properties of fluctuations at a special umbilic point where the characteristic velocities coincide. At large space and time scales, fluctuations are described by a system of stochastic Burgers equations studied recently in [13]. Our data suggest coupling-dependent scaling functions and, even more surprisingly, coupling-dependent dynamical scaling exponents, distinct from KPZ scaling exponent typical for surface growth processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universality in many-body driven systems with an umbilic point Schmidt, Johannes Krajnik, Žiga Popkov, Vladislav Statistical Mechanics Cellular Automata and Lattice Gases We study stationary fluctuations of conserved slow modes in a two-lane model of hardcore particles which are expected to show universal behaviour. Specifically, we focus on the properties of fluctuations at a special umbilic point where the characteristic velocities coincide. At large space and time scales, fluctuations are described by a system of stochastic Burgers equations studied recently in [13]. Our data suggest coupling-dependent scaling functions and, even more surprisingly, coupling-dependent dynamical scaling exponents, distinct from KPZ scaling exponent typical for surface growth processes. |
| title | Universality in many-body driven systems with an umbilic point |
| topic | Statistical Mechanics Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2504.04304 |