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We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the…

Strongly Correlated Electrons · Physics 2014-05-16 F. G. Eich , M. Di Ventra , G. Vignale

The time evolution of an extended quantum system can be theoretically described in terms of the Schwinger-Keldysh functional integral formalism, whose action conveniently encodes the information about the dynamics. We show here that the…

Statistical Mechanics · Physics 2015-11-11 L. M. Sieberer , A. Chiocchetta , A. Gambassi , U. C. Täuber , S. Diehl

We consider a one-dimensional run-and-tumble particle (RTP) confined by an external potential and coupled to a thermal reservoir. Starting from the corresponding Fokker-Planck equation, we derive an explicit expression for the local entropy…

Statistical Mechanics · Physics 2025-09-11 Oded Farago

Finite temperature corrections to the effective potential and the energy-momentum tensor of a scalar field are computed in a perturbed Minkoswki space-time. We consider the explicit mode decomposition of the field in the perturbed geometry…

High Energy Physics - Theory · Physics 2018-06-27 Franco D. Albareti , Antonio L. Maroto , Francisco Prada

An expression for the internal energy of a fluid element in a weakly coupled, magnetized, anisotropic plasma is derived from first principles. The result is a function of entropy, particle density and magnetic field, and as such plays the…

Plasma Physics · Physics 2015-06-11 R. D. Hazeltine , S. M. Mahajan , P. J. Morrison

We formulate a thermodynamic theory applicable to both classical and quantum systems. These systems are depicted as thermodynamic system-bath models capable of handling isothermal, isentropic, thermostatic, and entropic processes. Our…

Statistical Mechanics · Physics 2024-06-25 Shoki Koyanagi , Yoshitaka Tanimura

In this work we analyze the simultaneous emergence of diffusive energy transport and local thermalization in a nonequilibrium one-dimensional quantum system, as a result of integrability breaking. Specifically, we discuss the local…

Statistical Mechanics · Physics 2016-11-21 J. J. Mendoza-Arenas , S. R. Clark , D. Jaksch

I study several aspects of the path(st) integral we formulated in previous papers on energetic causal sets with Cortes and others. The focus here is on quantum field theories, including the standard model of particle physics. I show that…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Lee Smolin

We establish the Hamiltonian analysis and the canonical path integral for a local formulation of vacuum energy sequestering. In particular, by considering the state of the universe as a superposition of vacuum states corresponding to…

High Energy Physics - Theory · Physics 2016-08-10 R. Bufalo , J. Klusoň , M. Oksanen

It has recently been shown that relativistic quantum theory leads to a local interpretation of quantum mechanics wherein the universal wavefunction in configuration space is entirely replaced with an ensemble of local fluid equations in…

Quantum Physics · Physics 2024-03-27 Mordecai Waegell

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces has been proposed. This single postulate replaces the assumptions on…

Statistical Mechanics · Physics 2015-06-05 Leonid M. Martyushev , V. D. Seleznev

Some of the well-known effects regarding the vacuum are revisited under the formalism of the imaginary-time field theory. From these effects, they could imply the existence of one thermal vacuum in different circumstances. The…

General Relativity and Quantum Cosmology · Physics 2013-12-03 Yi-Cheng Huang

We report model calculations of the time-dependent internal energy and entropy for a single quasi-free massive quantum particle at a constant temperature. We show that the whole process started from a fully coherent quantum state to…

Statistical Mechanics · Physics 2013-03-20 Jian-Ping Peng

If the diffeomorphism symmetry of general relativity is fully implemented into a path integral quantum theory, the path integral leads to a partition function which is an invariant of smooth manifolds. We comment on the physical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hendryk Pfeiffer

Vacuum energy and other spectral functions of Laplace-type differential operators have been studied approximately by classical-path constructions and more fundamentally by boundary integral equations. As the first step in a program of…

Mathematical Physics · Physics 2009-07-21 S. A. Fulling

The effects of dissipation on the thermodynamic properties of nonlinear quantum systems are approached by the path-integral method in order to construct approximate classical-like formulas for evaluating thermal averages of thermodynamic…

Statistical Mechanics · Physics 2016-11-23 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

This work continues the investigation in two recent papers on the quantum thermodynamics of spacetimes, 1) placing what was studied in [1] for thermal quantum fields in the context of early universe cosmology, and 2) extending the…

High Energy Physics - Theory · Physics 2024-11-26 Jen-Tsung Hsiang , Yu-Cun Xie , Bei-Lok Hu

We introduce configuration space path integrals for quantum fields interacting with classical fields. We show that this can be done consistently by proving that the dynamics are completely positive directly, without resorting to master…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Jonathan Oppenheim , Zachary Weller-Davies

An entropic formulation of relativistic continuum mechanics is developed in the Landau-Lifshitz frame. We introduce two spatial scales, one being the small scale representing the linear size of each material particle and the other the large…

High Energy Physics - Theory · Physics 2011-09-02 Masafumi Fukuma , Yuho Sakatani

In a thermal field theory, the cumulants of the momentum distribution can be extracted from the dependence of the Euclidean path integral on a shift in the fields built into the temporal boundary condition. When combined with the Ward…

High Energy Physics - Lattice · Physics 2015-05-30 Leonardo Giusti , Harvey B. Meyer