Abstract: Interacting Particle Systems constitute a branch of Probability Theory deeply rooted in Statistical Physics. Its main purpose consists of describing the collective behavior of systems containing a large number of degrees of freedom. It is worth noting that the term "particle" is not confined to its literal meaning. It may refer to various entities such as cars on a highway, proteins within cells, players in a game or even infected individuals within a population. 

In this talk, we will discuss how we can establish/build such models, ensuring their existence and self-consistency.  We will examine how the enforced microscopic dynamics does not lead to contradictions and we will study the emergence of macroscopic properties using the concept of the "hydro-dynamic limit".  Specific emphasis is placed on the exploration of specific models, the extraction of precise probability distributions and the analysis of deviations from the average behavior. We complete the presentation with the concept of "Universality" by focusing on the KPZ category.

Abstract: CRYRING@ESR is a low-energy storage ring at the GSI-FAIR accelerator complex which can store highly-charged ions, produced by a local injector or by the UNILAC/SIS18 accelerator chain, after deceleration in the Experimental Storage Ring (ESR). Electron cooling is an essential technique to ensure high quality of the decelerated ion beams [1].

The electron cooler at CRYRING@ESR currently features one of the coldest electron beams available [2], which enables its use as a low-energy internal electron target, in addition to the beam cooling application. Dielectronic recombination (DR) consists of the resonant capture of an electron by an ion via an intermediate auto-ionising state and is the dominant recombination process in various plasma settings. Experiments aimed at DR take advantage of the low electron temperatures to achieve high spectroscopic resolution [3], and limiting factors include poor vacuum conditions and insufficient control of the electron energy as the cooler beam alternates quickly between the cooling and probing modes.

* This work was supported by GSI-FAIR and the Helmholtz Graduate School for Hadron and Ion Research.

References

[1] C. Krantz et al. (2021) Recommissioning of the CRYRING@ESR electron cooler. In Proceedings of the 12th International Particle Accelerator Conference (IPAC 2021), Campinas, Brazil, pp. 1816–1818.

[2] H. Danared et al. (2000) Studies of electron cooling with a highly expanded electron beam. Nuclear Instruments and Methods in Physics Research A 441:123–133.

[3] M. Lestinsky et al. (2022) First Experiments with CRYRING@ESR. Atoms 10(4):141.