### Critical dynamics of relativistic diffusion

Schweitzer D, Schlichting S, Smekal L von (2021)
arXiv:2110.01696.

Preprint | Englisch

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Autor*in
Schweitzer, Dominik; Schlichting, SörenUniBi ; Smekal, Lorenz von
Abstract / Bemerkung
We study the dynamics of self-interacting scalar fields with Z2 symmetry governed by a relativistic diffusion equation in the vicinity of a critical point. We calculate spectral functions of the order parameter in mean-field approximation as well as using first-principles classical-statistical lattice simulations in real-time. We observe that the spectral functions are well-described by single Breit-Wigner shapes. Away from criticality, the dispersion matches the expectations from the mean-field approach. At the critical point, the spectral functions largely keep their Breit-Wigner shape, albeit with non-trivial power-law dispersion relations. We extract the characteristic time-scales as well as the dynamic critical exponent z, verifying the existence of a dynamic scaling regime. In addition, we derive the universal scaling functions implied by the Breit-Wigner shape with critical power-law dispersion and show that they match the data. Considering equations of motion for a system coupled to a heat bath as well as an isolated system, we perform this study for two different dynamic universality classes, both in two and three spatial dimensions.
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv:2110.01696
Page URI
https://pub.uni-bielefeld.de/record/2958523

### Zitieren

Schweitzer D, Schlichting S, Smekal L von. Critical dynamics of relativistic diffusion. arXiv:2110.01696. 2021.
Schweitzer, D., Schlichting, S., & Smekal, L. von (2021). Critical dynamics of relativistic diffusion. arXiv:2110.01696
Schweitzer, D., Schlichting, S., and Smekal, L. von (2021). Critical dynamics of relativistic diffusion. arXiv:2110.01696.
Schweitzer, D., Schlichting, S., & Smekal, L. von, 2021. Critical dynamics of relativistic diffusion. arXiv:2110.01696.
D. Schweitzer, S. Schlichting, and L. von Smekal, “Critical dynamics of relativistic diffusion”, arXiv:2110.01696, 2021.
Schweitzer, D., Schlichting, S., Smekal, L. von: Critical dynamics of relativistic diffusion. arXiv:2110.01696. (2021).
Schweitzer, Dominik, Schlichting, Sören, and Smekal, Lorenz von. “Critical dynamics of relativistic diffusion”. arXiv:2110.01696 (2021).

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### Quellen

arXiv: 2110.01696

Inspire: 1938740