arXiv Open Access 2025

Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schrödinger problem

L. Bertini D. Gabrielli G. Jona-Lasinio

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Abstrak

We formulate the Schrödinger problem for interacting particle systems in the hydrodynamical regime thus extending the standard setting of independent particles. This involves the large deviations rate function for the empirical measure which is in fact a richer observable than the hydrodynamic observables density and current. In the case in which the constraints are the initial and final density, we characterize the optimal measure for the Schrödinger problem. We also introduce versions of the Schrödinger problem in which the constraints are related to the current and analyze the corresponding optimal measures.

Topik & Kata Kunci

math.PR cond-mat.stat-mech

Penulis (3)

L. Bertini

D. Gabrielli

G. Jona-Lasinio

Format Sitasi

APA MLA BibTeX

Bertini, L., Gabrielli, D., Jona-Lasinio, G. (2025). Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schrödinger problem. https://arxiv.org/abs/2506.22085

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓