Dynamical Systems and Microphysics pp 265-277 | Cite as

# Common Structure of Non-Hamiltonian Dynamical Theories of Macroscopic Physics

Chapter

## Abstract

Investigation of macroscopic physical systems led to the establishment of several levels of their perception. An excellent historical account is available in Refs. 1,2. A well established level of perception consists of a class of macroscopic systems S (the elements of S are the systems that are investigated), another class of physical systems I (the elements of I are the measurement instruments) and a dynamical theory DT. A dynamical theory DT consists of the phase space H (states of systems in S are completely characterized by elements of H),a set of fundamental, also called phenomenological, quantities Q and a family of time evolution equations
f ∈ H, q ∈ Q, parametrized by q. Through the fundamental quantities q the individuality of the systems s ∈ S is expressed. The level of perception is well established if there exists an association s → q, s ∈ S, q ∈ Q such that the theoretical consequences of (1) are in good agreement with the measurements, i.e. with the results of interactions of the systems form S with the systems in I. The association S → Q represents a part of the experience, it cannot be obtained theoretically inside the chosen level.

(1)

## Keywords

Local Equilibrium Dynamical Theory Common Structure Thermodynamic Equation Macroscopic System
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## References

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