Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 36: Brownian Motion and Transport

DY 36.7: Vortrag

Donnerstag, 3. April 2014, 16:45–17:00, ZEU 160

Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency — •Kay Brandner¹, Julian Stark¹, Keiji Saito², and Udo Seifert¹ — ¹II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart — ²Department of Physics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Japan 223-8522

Thermoelectric transport in non-interacting systems involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry. We derive a universal bound on the Onsager coefficients that depends only on the number of terminals [1,2]. This bound implies bounds on the efficiency and on efficiency at maximum power for heat engines and refrigerators. To illustrate our results, we introduce a simple classical model using four terminals for a thermoelectric engine based on the Nernst effect [3]. Within this set-up, the predicted bound on the efficiency can indeed be saturated for large magnetic fields and small fugacity in the thermochemical reservoirs.
[1] K. Brandner, K. Saito and U. Seifert, Phys. Rev. Lett. 110 070603 (2013)
[2] K. Brandner and U. Seifert, New J. Phys. 15 105003 (2013)
[3] J. Stark, K. Brandner, K. Saito and U. Seifert, arXiv:1310.1195v1 (2013)