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Grant support

We thank H. Buhmann, E. Hankiewicz, C. Hoyos, O. Kashuba, L. Molenkamp, V. Muller, and B. Trauzettel for useful discussions. We gratefully acknowledge support from the DFG via SFB 1170 "Topological and Correlated Electronics at Surfaces and Interfaces." We also thank the referees for constructive comments.

Analysis of institutional authors

Fernandez, David RodriguezAuthor

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February 6, 2023
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Strongly coupled electron fluids in the Poiseuille regime

Publicated to:PHYSICAL REVIEW B. 98 (19): - 2018-11-30 98(19), DOI: 10.1103/PhysRevB.98.195143

Authors: Erdmenger, Johanna; Matthaiakakis, Ioannis; Meyer, Rene; Fernandez, David Rodriguez;

Affiliations

Julius Maximilians Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany - Author

Abstract

In the context of describing electrons in solids as a fluid in the hydrodynamic regime, we consider a flow of electrons in a channel of finite width, i.e., a Poiseuille flow. The electrons are accelerated by a constant electric field. We develop the appropriate relativistic hydrodynamic formalism in 2+1 dimensions and show that the fluid has a finite dc conductivity due to boundary-induced momentum relaxation, even in the absence of impurities. We use methods involving the AdS/CFT correspondence to examine the system in the strong-coupling regime. We calculate and study velocity profiles across the channel, from which we obtain the differential resistance dV/dI. We find that dV/dI decreases with increasing current I as expected for a Poiseuille flow, also at strong coupling and in the relativistic velocity regime. Moreover, we vary the coupling strength by varying eta/s, the ratio of shear viscosity over entropy density. We find that dV/dI decreases when the coupling is increased. We also find that strongly coupled fluids are more likely to become ultrarelativistic and turbulent. These conclusions are insensitive to the presence of impurities. In particular, we predict that in channels which are clearly in the hydrodynamic regime already at small currents, the DC channel resistance strongly depends on eta/s.

Keywords

FlowResistanceShear viscosityTransport

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal PHYSICAL REVIEW B due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2018, it was in position 29/148, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 6.14, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Aug 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-08-02, the following number of citations:

  • WoS: 11

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-08-02:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 20.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 20 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.5.
  • The number of mentions on the social network X (formerly Twitter): 2 (Altmetric).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Germany.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (RODRIGUEZ FERNANDEZ, DAVID).