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Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

Quantum Physics · Physics 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki

In this work we elaborate on two recently discovered invariance principles, according to which transport coefficients are, to a large extent, independent of the microscopic definition of the densities and currents of the conserved…

Statistical Mechanics · Physics 2021-07-20 Federico Grasselli , Stefano Baroni

Thermodynamics is based on a coarse-grained approach, from which its fundamental variables emerge, effectively erasing the complicate details of the microscopic dynamics within a macroscopic system. The strength of Thermodynamics lies in…

Quantum Physics · Physics 2025-04-17 Gabriel Fernandez Ferrari , Łukasz Rudnicki , Lucas Chibebe Céleri

Our previous study [1] has demonstrated that the gauge theory is a proper framework for characterizing the local temporal and spatial interactions in inhomogeneous elastic media. However, in that study temporal interactions were interpreted…

Classical Physics · Physics 2025-06-10 Zhihai Xiang

We assume that markovian dynamics on a finite graph enjoys a gauge symmetry under local scalings of the probability density, derive the transformation law for the transition rates and interpret the thermodynamic force as a gauge potential.…

Statistical Mechanics · Physics 2015-05-30 Matteo Polettini

In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be gauge invariant. In particular, mass, entropy, angular momentum, electric charge and their respective chemical potentials, temperature, horizon…

High Energy Physics - Theory · Physics 2022-11-21 K. Hajian , M. M. Sheikh-Jabbari , B. Tekin

The thermal conductivity of classical multi-component fluids is seemingly affected by the intrinsic arbitrariness in the definition of the atomic energies and it is ill-conditioned numerically, when evaluated from the Green-Kubo theory of…

Statistical Mechanics · Physics 2019-09-30 Riccardo Bertossa , Federico Grasselli , Loris Ercole , Stefano Baroni

The Green-Kubo theory of thermal transport has long be considered incompatible with modern simulation methods based on electronic-structure theory, because it is based on such concepts as energy density and current, which are ill-defined at…

Statistical Mechanics · Physics 2018-08-20 Stefano Baroni , Riccardo Bertossa , Loris Ercole , Federico Grasselli , Aris Marcolongo

The first law of thermodynamics imposes not just a constraint on the energy-content of systems in extreme quantum regimes, but also symmetry-constraints related to the thermodynamic processing of quantum coherence. We show that this…

Quantum Physics · Physics 2015-04-15 Matteo Lostaglio , Kamil Korzekwa , David Jennings , Terry Rudolph

Our fundamental theories, i.e., the quantum theory and general relativity, are invariant under time reversal. Only when we treat system from the point of view of thermodynamics, i.e., averaging between many subsystem components, an arrow of…

History and Philosophy of Physics · Physics 2024-10-01 Francesca Vidotto

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

It is shown that the structure of thermodynamics is "form invariant", when it is derived using maximum entropy principle for various choices of entropy and even beyond equilibrium. By the form invariance of thermodynamics, it is meant that…

Quantum Physics · Physics 2015-11-12 Avijit Misra , Uttam Singh , Manabendra Nath Bera , A. K. Rajagopal

Black hole thermodynamics provides a rare window into the elusive quantum nature of gravity. In the first-order formalism for gravitational theories, where torsion and gauge freedom are present, it has been suggested that the first law of…

General Relativity and Quantum Cosmology · Physics 2025-12-15 O. Ramirez , Y. Bonder

This paper explores the non-equilibrium behavior of thermodynamics at the apparent horizon of isotropic and homogeneous universe model in $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet invariant and trace of…

General Relativity and Quantum Cosmology · Physics 2018-03-13 M. Sharif , Ayesha Ikram

We showed that the principle of nongravitating vacuum energy, when formulated in the first order formalism, solves the cosmological constant problem. The most appealing formulation of the theory displays a local symmetry associated with the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

Underlying the classical thermodynamic principles are analogous microscopic laws, arising from the fundamental axioms of quantum mechanics. These define quantum thermodynamic variables such as quantum work and heat and characterize the…

Quantum Physics · Physics 2023-05-03 Roie Dann , Ronnie Kosloff

In this work I revisit the notion of gauge invariance in thermal transport and show, in the simplest and most general possibile terms, why heat conductivity is unaffected by the specific choice of energy density. I provide the minimal and…

Statistical Mechanics · Physics 2025-12-15 Stefano Baroni

Based on the recent work [1,2], we formulate the first law and the second law of stochastic thermodynamics in the framework of general relativity. These laws are established for a charged Brownian particle moving in a heat reservoir and…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Tao Wang , Yifan Cai , Long Cui , Liu Zhao

We develop the principle of nongravitating vacuum energy, which is implemented by changing the measure of integration from $\sqrt{-g}d^{D}x$ to an integration in an internal space of $D$ scalar fields $\phi_{a}$. As a consequence of such a…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

We establish the foundations of a nonequilibrium theory of quantum thermodynamics for noninteracting open quantum systems strongly coupled to their reservoirs within the framework of the nonequilibrium Green functions (NEGF). The energy of…

Statistical Mechanics · Physics 2015-03-18 Massimiliano Esposito , Maicol A. Ochoa , Michael Galperin
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