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Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

Soft Condensed Matter · Physics 2021-09-02 Josef Málek , Ondřej Souček

Recent thermal Hall experiment pumped new energy into the problem of $\nu=5/2$ quantum Hall effect, which motivated novel interpretations based on formation of mesoscopic puddles made of Pfaffian and anti-Pfaffian topological orders. Here,…

Strongly Correlated Electrons · Physics 2020-10-07 W. Zhu , D. N. Sheng , Kun Yang

We experimentally verify the Jarzynski and W\"ojcik quantum heat exchange fluctuation relation by implementing the interferometric technique in liquid-state Nuclear Magnetic Resonance setup and study the exchange heat statistics between two…

Statistical Mechanics · Physics 2019-10-30 Soham Pal , T S Mahesh , Bijay Kumar Agarwalla

Upper bounds on projective rigidity of each homogeneously embedded homogeneous variety are determined; and a new, invariant characterization of the Fubini forms is given.

Differential Geometry · Mathematics 2011-12-08 J. M. Landsberg , C. Robles

A common framework for quantum mechanics, thermodynamics and information theory is presented. It is accomplished by reinterpreting the mathematical formalism of Everett's many-worlds theory of quantum mechanics and augmenting it to include…

Quantum Physics · Physics 2007-05-23 I. Devetak , A. E. Staples

We investigate the quantum Mpemba effect from the perspective of non-equilibrium quantum thermodynamics by studying relaxation dynamics of quantum systems coupled to a Markovian heat bath, which are described by Davies maps. Starting from a…

Quantum Physics · Physics 2024-10-08 Mattia Moroder , Oisín Culhane , Krissia Zawadzki , John Goold

This paper shows a fundamental thermodynamic similarity between thermoelectric and photovoltaic energy converters which, at open circuit, can be represented as isochoric engines generating a finite chemical potential which appears as…

Applied Physics · Physics 2025-11-21 Tom Markvart

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

Statistical Mechanics · Physics 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

It has been shown that contact geometry is the proper framework underlying classical thermodynamics and that thermodynamic fluctuations are captured by an additional metric structure related to Fisher's Information Matrix. In this work we…

Mathematical Physics · Physics 2015-08-27 A. Bravetti , C. S. Lopez-Monsalvo , F. Nettel

We compare the asymmetry-induced exchange splitting delta_1 of the bright-exciton ground-state doublet in self-assembled (In,Ga)As/GaAs quantum dots, determined by Faraday rotation, with its homogeneous linewidth gamma, obtained from the…

In his article "Unitary Representations and Complex Analysis", David Vogan gives a characterization of the continuous invariant Hermitian forms defined on the compactly supported sheaf cohomology groups of certain homogeneous analytic…

Representation Theory · Mathematics 2022-07-29 Tim Bratten , Mauro Natale

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland

We give a thermodynamically consistent description of simultaneous heat and particle transport, as well as of the associated cross-effects, in the framework of a chaotic dynamical system, a generalized multibaker map. Besides the density, a…

chao-dyn · Physics 2009-10-31 Laszlo Matyas , Tamas Tel , Jurgen Vollmer

When the process of a system in contact with a heat bath is described by classical Langevin equation, the method of stochastic energetics [K. Sekimoto, J. Phys. Soc. Jpn. vol. 66 (1997) p.1234] enables to derive the form of Helmholtz free…

Statistical Mechanics · Physics 2009-10-30 Ken Sekimoto , Shin-ichi Sasa

General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction…

Representation Theory · Mathematics 2007-05-23 Robert P Boyer

In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent…

High Energy Physics - Theory · Physics 2020-09-01 J. M. Munoz-Castaneda , L. Santamaria-Sanz , M. Donaire , M. Tello-Fraile

Two recent topics on a formal thermodynamic analogy of intracellular diffusivity fluctuations observed experimentally in normal/anomalous diffusion are reported. Not only the analogs of the quantity of heat and work as well as the internal…

Statistical Mechanics · Physics 2026-04-22 Yuichi Itto

In this paper, we present a Lagrangian formalism for nonequilibrium thermodynamics. This formalism is an extension of the Hamilton principle in classical mechanics that allows the inclusion of irreversible phenomena in both discrete and…

Mathematical Physics · Physics 2015-10-06 François Gay-Balmaz , Hiroaki Yoshimura

In this work, we study different quantum thermodynamic functions (QTFs) of a cold atom subjected to an artificial non-Abelian uniform magnetic field and linearly coupled to a quantum heat bath through either usual coordinate-coordinate…

Quantum Gases · Physics 2017-08-03 Asam Rajesh , Malay Bandyopadhyay , A. M. Jayannavar

A fluctuation relation for the heat exchange of an open quantum system under a thermalizing Markovian dynamics is derived. We show that the probability of that the system absorbs an amount of heat from its bath, at a given time interval,…

Quantum Physics · Physics 2018-04-09 Mehdi Ramezani , Mehdi Golshani , Ali T. Rezakhani