Special Issue "Thermodynamic Constitutive Theory and Its Application"
Deadline for manuscript submissions: 30 January 2024 | Viewed by 4177
Interests: constitutive theory: exploitation of the dissipation inequality; complex materials: mesoscopic and macroscopic theory of liquid crystals, fiber suspensions, mixtures, ferrofluids and others; internal variables and order parameters and their dynamics
Special Issues, Collections and Topics in MDPI journals
Interests: foundations of non-equilibrium-thermodynamics; quantum thermodynamics; relativistic thermodynamics; thermodynamic of discrete systems; continuum physics and constitutive theory; liquid crystals
Special Issues, Collections and Topics in MDPI journals
We invite you to contribute to the Special Issue “Thermodynamic Constitutive Theory and Its Application”.
More than half a century has passed since the foundation of Thermodynamics of Irreversible Processes by Onsager [1, 2], Meixner , Prigogine  and others, and the foundation of Rational Thermodynamics by Truesdell, Noll  and others, and there are still open questions about the role of the Second Law of Thermodynamics in constitutive theory and the method of exploiting the implications of the Second Law. Two examples are hereby mentioned: the question arises when exploiting the dissipation inequality as to whether accelerations should be included in the state space, and, in the case of higher gradient materials, the question remains as to whether derivatives of balance equations need to be taken into account as constraints. The range of applications of thermodynamic constitutive theory is broad and covers, for example, complex materials also including internal processes such as chemical reactions, electromagnetic materials, heat conduction, higher gradient materials and materials for use in engineering applications such as fluids, steel and wood. The strict application of thermodynamic constitutive theory in a relativistic framework, for quantum systems or in stochastic thermodynamics, is still under discussion.
Contributions to fundamental aspects, methods and concepts, as well as applications of phenomenological thermodynamic constitutive theory in all branches of physics, engineering and material science, are welcome.
 L. Onsager. Reciprocal Relations in Irreversible Processes I. Phys. Rev., 37:405–426, 1931.
 L. Onsager. Reciprocal Relations in Irreversible Processes II. Phys. Rev., 38:2265–2279, 1931.
 J. Meixner. Zur Thermodynamik der Thermodiffusion. Annalen der Physik, 431(5):333–356, 1941.
 I. Prigogine. Introduction to Thermodynamics of Irreversible Processes. Interscience, New York, 1961.
 C. Truesdell and W. Noll. The Non-Linear Field Theories of Mechanics. Springer Verlag, Berlin-Heidelberg-New York, 1965. Handbuch der Physik, III/3.
Prof. Dr. Christina Papenfuss
Prof. Dr. Wolfgang Muschik
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Tentative Title: Interpretation of Second Law of Thermodynamics in Extended Procedures for the Exploitation of the Entropy Inequality
Author: Vito Antonio Cimmelli
Abstract: The classical Coleman-Noll approach to the exploitation of the entropy principle regards the entropy inequality as a unilateral differential constraint on the constitutive equations describing the material properties [B. D. Coleman and W. Noll, “The thermodynamics of elastic materials with heat conduction and viscosity” , Arch. Rational Mech. Anal. 13, 167–178 (1963)]. In 1996, Muschik and Ehrentraut proved that this assumption follows by a rigorous proof, under the additional hypothesis that, except in equilibria, reversible process directions in state space do not exist [W. Muschhik and H. Ehrentraut “An amendment to the second law”, J. Non-Equilib. Thermodyn. 21, 175–192 (1996)]. In 2022 Cimmelli and Rogolino generalized this result by including such hypothesis in a more general formulation of second law of thermodynamics [V. A. Cimmelli and P. Rogolino, “The Role of the Second Law of Thermodynamics in Continuum Physics: A Muschik and Ehrentraut Theorem Revisited”, Symmetry, 14, 763 (2022]. Here, we show that the same conclusions achieved by Muschik and Ehrentraut and Cimmelli and Rogolino hold when the classical Coleman-Noll procedure for the exploitation of the entropy inequality is generalized by considering also the gradients of the fundamental balance equations as constraints for the entropy inequality.
Tentative title: Entropy analysis for a nonlinear implicit heat flux vector
Authors: Albert Denny Kirwan, Mehrdad Massoudi, Karal Gregory
Tentative submission time: the end of February 2024
Other planned authors: Patrizia Rogolino (Università degli Studi di Messina)