Numerical simulations of non-relativistic stochastic fluids via the Metropolis algorithm
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914296444747776 |
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| author | Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz |
| author_facet | Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz |
| contents | Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic stochastic fluids in two spatial dimensions in a box. We use the robust Metropolis algorithm, handling fluctuations and dissipation at once by systematically replacing dissipative terms in the hydrodynamic equations by random forces. The algorithm can easily be modified for numerical simulations of other hydrodynamic theories. We present test cases as well as numerical calculations of the renormalization of shear viscosity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_00207 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical simulations of non-relativistic stochastic fluids via the Metropolis algorithm Harhoff, Mattis Schlichting, Sören von Smekal, Lorenz Nuclear Theory High Energy Physics - Phenomenology Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic stochastic fluids in two spatial dimensions in a box. We use the robust Metropolis algorithm, handling fluctuations and dissipation at once by systematically replacing dissipative terms in the hydrodynamic equations by random forces. The algorithm can easily be modified for numerical simulations of other hydrodynamic theories. We present test cases as well as numerical calculations of the renormalization of shear viscosity. |
| title | Numerical simulations of non-relativistic stochastic fluids via the Metropolis algorithm |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.00207 |