Low-noise Pauli-consistent ensemble Monte Carlo for graphene with electron-electron scattering
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910160235003904 |
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| author | Zalinyan, Tigran Nastasi, Giovanni |
| author_facet | Zalinyan, Tigran Nastasi, Giovanni |
| contents | We investigate Pauli-consistent ensemble Monte Carlo simulations of graphene with explicit intraband electron-electron scattering. To reduce the cost of electron-electron proposal-rate evaluation, we introduce a sampled-partner approximation that replaces the full partner-cell sum by uniform sampling from the instantaneous ensemble, while leaving the event-level collision step unchanged. Comparison with the full-sum reference shows close agreement together with a substantial reduction in computational cost, enabling large-ensemble low-noise simulations. In this regime, systematic oscillatory components become clearly resolved in ensemble-averaged time traces. We show that these oscillations are numerical and originate from deterministic drift on the discretized momentum-space grid. We also discuss a procedure for reducing their impact in recorded observables without modifying the underlying Monte Carlo dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_18517 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low-noise Pauli-consistent ensemble Monte Carlo for graphene with electron-electron scattering Zalinyan, Tigran Nastasi, Giovanni Mathematical Physics 82M31, 82D80, 65C05 G.3; I.6.8 We investigate Pauli-consistent ensemble Monte Carlo simulations of graphene with explicit intraband electron-electron scattering. To reduce the cost of electron-electron proposal-rate evaluation, we introduce a sampled-partner approximation that replaces the full partner-cell sum by uniform sampling from the instantaneous ensemble, while leaving the event-level collision step unchanged. Comparison with the full-sum reference shows close agreement together with a substantial reduction in computational cost, enabling large-ensemble low-noise simulations. In this regime, systematic oscillatory components become clearly resolved in ensemble-averaged time traces. We show that these oscillations are numerical and originate from deterministic drift on the discretized momentum-space grid. We also discuss a procedure for reducing their impact in recorded observables without modifying the underlying Monte Carlo dynamics. |
| title | Low-noise Pauli-consistent ensemble Monte Carlo for graphene with electron-electron scattering |
| topic | Mathematical Physics 82M31, 82D80, 65C05 G.3; I.6.8 |
| url | https://arxiv.org/abs/2604.18517 |