Preprint Article Version 1 This version is not peer-reviewed

Macroscopic Internal Variables and Mesoscopic Theory: A Comparison considering Liquid Crystals

These authors contributed equally to this work.
Version 1 : Received: 26 December 2017 / Approved: 27 December 2017 / Online: 27 December 2017 (08:00:59 CET)

A peer-reviewed article of this Preprint also exists.

Papenfuss, C.; Muschik, W. Macroscopic Internal Variables and Mesoscopic Theory: A Comparison Considering Liquid Crystals. Entropy 2018, 20, 81. Papenfuss, C.; Muschik, W. Macroscopic Internal Variables and Mesoscopic Theory: A Comparison Considering Liquid Crystals. Entropy 2018, 20, 81.

Journal reference: Entropy 2018, 20, 81
DOI: 10.3390/e20010081

Abstract

Internal and mesoscopic variables differ from each other fundamentally: both are state space variables, but mesoscopic variables are additional equipped with a distribution function introducing a statistical item into consideration which is missing in connection with internal variables. Thus, the alignment tensor of liquid crystal theory can be introduced as an internal variable or as one generated by a mesoscopic background using the microscopic director as mesoscopic variable. Because the mesoscopic variable is part of the state space, the corresponding balance equations change into mesoscopic balances, and additionally an evolution equation of the mesoscopic distribution function appears. The flexibility of the mesoscopic concept is not only demonstrated for liquid crystals, but is also discussed for dipolar media and flexible fibers.

Subject Areas

mesoscopic theory; internal variables; liquid crystals; damage parameter; dipolar media; flexible fibers

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