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Thermodynamics of the classical spin triangle

H.-J. Schmidt, C. Schröder, Zeitschrift Für Naturforschung A 77 (2022).

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Artikel | Veröffentlicht | Englisch
Autor*in
Schmidt, Heinz-Jürgen; Schröder, ChristianFH Bielefeld
Abstract
Abstract - The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper, we explicitly calculate thermodynamic quantities such as density of states, specific heat, susceptibility and spin autocorrelation functions. These calculations are performed (semi-)analytically and shown to agree with corresponding Monte Carlo simulations. It is shown that the thermodynamic functions depend qualitatively on the character of the system in terms of its frustration, especially w. r. t. their low temperature limit. For the long-time autocorrelation function, we find, for certain values of the coupling constants, a decay to constant values in the form of an 1/ t damped harmonic oscillation and propose a theoretical explanation.
Erscheinungsjahr
Zeitschriftentitel
Zeitschrift für Naturforschung A
Band
77
Zeitschriftennummer
11
ISSN
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FH-PUB-ID

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Schmidt, Heinz-Jürgen ; Schröder, Christian: Thermodynamics of the classical spin triangle. In: Zeitschrift für Naturforschung A Bd. 77, Walter de Gruyter GmbH (2022), Nr. 11
Schmidt H-J, Schröder C. Thermodynamics of the classical spin triangle. Zeitschrift für Naturforschung A. 2022;77(11). doi:10.1515/zna-2022-0034
Schmidt, H.-J., & Schröder, C. (2022). Thermodynamics of the classical spin triangle. Zeitschrift Für Naturforschung A, 77(11). https://doi.org/10.1515/zna-2022-0034
@article{Schmidt_Schröder_2022, title={Thermodynamics of the classical spin triangle}, volume={77}, DOI={10.1515/zna-2022-0034}, number={11}, journal={Zeitschrift für Naturforschung A}, publisher={Walter de Gruyter GmbH}, author={Schmidt, Heinz-Jürgen and Schröder, Christian}, year={2022} }
Schmidt, Heinz-Jürgen, and Christian Schröder. “Thermodynamics of the Classical Spin Triangle.” Zeitschrift Für Naturforschung A 77, no. 11 (2022). https://doi.org/10.1515/zna-2022-0034.
H.-J. Schmidt and C. Schröder, “Thermodynamics of the classical spin triangle,” Zeitschrift für Naturforschung A, vol. 77, no. 11, 2022.
Schmidt, Heinz-Jürgen, and Christian Schröder. “Thermodynamics of the Classical Spin Triangle.” Zeitschrift Für Naturforschung A, vol. 77, no. 11, Walter de Gruyter GmbH, 2022, doi:10.1515/zna-2022-0034.

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