Mainz 2026 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 43: Poster – Quantum Systems

Q 43.9: Poster

Wednesday, March 4, 2026, 17:00–19:00, Philo 2. OG

Fluctuations of thermal Lorentz-Hall forces inside a nonlocal conductor — •Alexander Schomburg and Carsten Henkel — Universität Potsdam, Institut für Physik und Astronomie, Germany

The Brownian motion of charges inside conductors can be treated as a fluctuating macroscopic current density, giving rise to fields that inherit the sources’ stochastic properties [1]. The mean magnetic (Lorentz) force density [2] represents a second-order correlation function of these quantities while the force autocorrelation is given in turn by fourth-order correlations. These can be reduced to the spectrum of current fluctuations. In the nonlocal treatment, the resulting expressions involve both the transverse and longitudinal parts of the dielectric function. We analyse the convergence of the frequency integrals and of the Lorentz force evaluated at the surface.

[1] S. Rytov, Y. Kravtsov and V. Tatarskii, Principles of Statistical Radiophysics 3: Elements of Random Fields (Springer, 1989)
[2] C. Henkel, Physics 6 (2024) 568

Keywords: thermal fluctuations; Lorentz force; spatial dispersion; Brownian motion in conducting media