Nonequilibrium Macroscopic Response Relations for Counting Statistics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909885663281152 |
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| author | Zheng, Jiming Lu, Zhiyue |
| author_facet | Zheng, Jiming Lu, Zhiyue |
| contents | Understanding how macroscopic nonequilibrium systems respond to changes in external or internal parameters remains a fundamental challenge in physics. In this work, we report a parameter transitional symmetry valid for macroscopic dynamics arbitrarily far from equilibrium. The symmetry leads to exact response relations and gives meaningful expansions in both linear and short-time regimes. This framework provides a universal description of macroscopic response phenomena arbitrarily far from equilibrium - including non-stationary processes and time-dependent attractors. The theory is validated and demonstrated numerically using the Willamowski-Rossler model, which exhibits rich dynamical behaviors including limit cycles and chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonequilibrium Macroscopic Response Relations for Counting Statistics Zheng, Jiming Lu, Zhiyue Statistical Mechanics Understanding how macroscopic nonequilibrium systems respond to changes in external or internal parameters remains a fundamental challenge in physics. In this work, we report a parameter transitional symmetry valid for macroscopic dynamics arbitrarily far from equilibrium. The symmetry leads to exact response relations and gives meaningful expansions in both linear and short-time regimes. This framework provides a universal description of macroscopic response phenomena arbitrarily far from equilibrium - including non-stationary processes and time-dependent attractors. The theory is validated and demonstrated numerically using the Willamowski-Rossler model, which exhibits rich dynamical behaviors including limit cycles and chaos. |
| title | Nonequilibrium Macroscopic Response Relations for Counting Statistics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2511.02041 |