title: Fluctuations in the presence of fields: phenomenological Gaussian approximation and a class of thermodynamic inequalities.
abstract: The fluctuations of thermodynamic systems in the presence of the fields are considered. The approach is of phenomenological nature and developed in a Gaussian approximation. The cases of a magnetizable continuum in a magnetoquasistatic field, as well as the so called discrete systems are used to exemplify the study. In the latter case one finds that the fluctuation estimators depend both on the intrinsic properties of the system and on the characteristics of the environment. Following earlier ideas of one of the authors we present a class of thermodynamic inequalities for the systems investigated in this paper. In the case of two variables these inequalities are nonquantum analogs of the well known quantum Heisenberg "uncertainty" relations. In this context, the fluctuation estimators support the idea that Boltzmann's constant k has the signification of a generic indicator of stochasticity for thermodynamic systems.
authors.affiliation: Department of Physics, Transilvania University, B-dul Eroilor 29, R-2200, Brasov, Romania. s.dumitru@unitbv.ro
authors.forename: S
authors.initials: S
authors.lastname: Dumitru
authors.forename: A
authors.initials: A
authors.lastname: Boer