Are Onsager's reciprocal relations necessary to apply Thermodynamic Extremal Principles?

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Are Onsager's reciprocal relations necessary to apply Thermodynamic Extremal Principles? / Hackl, Klaus; Fischer, Franz-Dieter; Zickler, Gerald et al.
In: Journal of the mechanics and physics of solids, Vol. 135.2020, No. February, 103780, 08.11.2019.

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@article{1b40d4dbb15e4a72b3d1bdad3e984ebb,
title = "Are Onsager's reciprocal relations necessary to apply Thermodynamic Extremal Principles?",
abstract = "Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the Principles are up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those in the magnetic field. However, we can demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles provides to non-reciprocal relations between the thermodynamic forces and fluxes. Such a novel idea may contribute to a better understanding of physics behind non-reciprocal systems.",
author = "Klaus Hackl and Franz-Dieter Fischer and Gerald Zickler and Jiri Svoboda",
year = "2019",
month = nov,
day = "8",
doi = "10.1016/j.jmps.2019.103780",
language = "English",
volume = "135.2020",
journal = "Journal of the mechanics and physics of solids",
issn = "0022-5096",
publisher = "Elsevier",
number = "February",

}

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TY - JOUR

T1 - Are Onsager's reciprocal relations necessary to apply Thermodynamic Extremal Principles?

AU - Hackl, Klaus

AU - Fischer, Franz-Dieter

AU - Zickler, Gerald

AU - Svoboda, Jiri

PY - 2019/11/8

Y1 - 2019/11/8

N2 - Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the Principles are up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those in the magnetic field. However, we can demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles provides to non-reciprocal relations between the thermodynamic forces and fluxes. Such a novel idea may contribute to a better understanding of physics behind non-reciprocal systems.

AB - Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the Principles are up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those in the magnetic field. However, we can demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles provides to non-reciprocal relations between the thermodynamic forces and fluxes. Such a novel idea may contribute to a better understanding of physics behind non-reciprocal systems.

U2 - 10.1016/j.jmps.2019.103780

DO - 10.1016/j.jmps.2019.103780

M3 - Article

VL - 135.2020

JO - Journal of the mechanics and physics of solids

JF - Journal of the mechanics and physics of solids

SN - 0022-5096

IS - February

M1 - 103780

ER -