Elementary Thermo-mechanical Systems and Higher Order Constraints
| Autor: | Maximiliano Palacios Amaya, Sergio Daniel Grillo, Hernán Cendra |
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| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
Physical system Observable 01 natural sciences 010101 applied mathematics Mechanical system Formalism (philosophy of mathematics) symbols.namesake 0103 physical sciences symbols Discrete Mathematics and Combinatorics Applied mathematics 0101 mathematics 010301 acoustics Finite set Lagrangian Thermo mechanical First law of thermodynamics Mathematics |
| Zdroj: | Qualitative Theory of Dynamical Systems. 19 |
| ISSN: | 1662-3592 1575-5460 |
| DOI: | 10.1007/s12346-020-00371-8 |
| Popis: | In this paper we study a class of physical systems that combine a finite number of mechanical and thermodynamic observables. We call them elementary thermo-mechanical systems (ETMS). We introduce these systems by means of simple examples, and we obtain their (time) evolution equations by using, essentially, the Newton’s laws and the First Law of Thermodynamics only. We show that such equations are similar to those defining certain constrained mechanical systems. From that, and addressing the main aim of the paper, we give a general definition of ETMS, in a variational formalism, as a particular subclass of the Lagrangian higher order constrained systems. |
| Databáze: | OpenAIRE |
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