Gravity analog model of non-equilibrium thermodynamics

@article{Aibara2019GravityAM,
  title={Gravity analog model of non-equilibrium thermodynamics},
  author={Noriaki Aibara and Naoaki Fujimoto and So Katagiri and Mayumi Saitou and Akio Sugamoto and Takashi Yamamoto and Tsukasa Yumibayashi},
  journal={Progress of Theoretical and Experimental Physics},
  year={2019}
}
The non-equilibrium thermodynamics of Onsager and Machlup and of Hashitsume is reformulated as a gravity analog model, in which thermodynamic variables, kinetic coefficients, and generalized forces form, respectively, coordinates and metric tensor and vector fields in a space of thermodynamic variables. The relevant symmetry of the model is the general coordinate transformation. Then, the entropy production is classified into three categories, when a closed path is depicted as a thermodynamic… Expand
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References

SHOWING 1-10 OF 59 REFERENCES
Riemannian geometry in thermodynamic fluctuation theory
Although thermodynamic fluctuation theory originated from statistical mechanics, it may be put on a completely thermodynamic basis, in no essential need of any microscopic foundation. This reviewExpand
Space-Time Approach to Non-Relativistic Quantum Mechanics
Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event whichExpand
Classification of Gravitational Instanton symmetries
We classify the action of one parameter isometry groups of Gravitational Instantons, complete non singular positive definite solutions of the Einstein equations with or without Λ term. The fixedExpand
A Statistical Theory of Linear Dissipative Systems
On the basis of the joint probability for the two states occurring at different times proposed by Onsager, the theory of Brownian motion is generalized to the case of isolated systems such as treatedExpand
Theory of Many-Particle Systems. I
This is the first of a series of papers dealing with many-particle systems from a unified, nonperturbative point of view. It contains derivations and discussions of various field-theoreticalExpand
Non-equilibrium thermodynamics as gauge fixing.
By considering a thermodynamic force as gauge field, we extend constitutive equations of Onsager's non-equilibrium thermodynamics to non-linear equations. In Onsager's non-equilibrium thermodynamics,Expand
The fluctuation-dissipation theorem
The linear response theory has given a general proof of the fluctuation-dissipation theorem which states that the linear response of a given system to an external perturbation is expressed in termsExpand
Generalized Heisenberg-Euler formula in Abelian gauge theory with parity violation
A generalized Heisenberg-Euler formula is given for an Abelian gauge theory having vector as well as axial vector couplings to a massive fermion. So, the formula is applicable to a parity-violatingExpand
The Theory of a general quantum system interacting with a linear dissipative system
A formalism has been developed, using Feynman's space-time formulation of nonrelativistic quantum mechanics whereby the behavior of a system of interest, which is coupled to other external quantumExpand
On gauge invariance and vacuum polarization
This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve onlyExpand
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