On correlations and fluctuations of time-averaged densities and currents with general time-dependence
Abstrak
We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated and time-averaged thermodynamic currents of diffusion processes with a general time dependence on all time scales. In particular, we generalize the results from Dieball and Godec (2022 Phys. Rev. Lett. 129 140601); Dieball and Godec (2022 Phys. Rev. Res. 4 033243); Dieball and Godec (2022 arXiv:2206.04034 [cond-mat.stat-mech]) to additive functionals with explicit time dependence and transient or non-ergodic overdamped diffusion. As an illustration we apply the results to two-dimensional harmonically confined overdamped diffusion in a rotational flow evolving from a non-stationary initial distribution.
Topik & Kata Kunci
Penulis (2)
Cai Dieball
A. Godec
Akses Cepat
- Tahun Terbit
- 2022
- Bahasa
- en
- Total Sitasi
- 5×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1088/1751-8121/aca304
- Akses
- Open Access ✓