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Related papers: Local Temperature in Curved Spacetime

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We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, corresponding to a mean-field limit where the temperature is of the…

Mathematical Physics · Physics 2024-05-08 Zied Ammari , Shahnaz Farhat , Sören Petrat

When long-range interactions are present the usual definition of temperature implies that two systems in thermal equilibrium can be at different temperatures. This local temperature has physical significance, if the sub-systems cease to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel K. L. Oi , Jonathan Oppenheim

Systems at finite temperature make up the vast majority of realistic physical scenarios. Indeed, although zero temperature is often accompanied by simpler mathematics, the richness in physical results is evident when one considers the…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Gonçalo M. Quinta

We study the effects of noncommutativity of spacetime geometry on the thermodynamical properties of the de Sitter horizon. We show that noncommutativity results in modifications in temperature, entropy and vacuum energy and that these…

General Relativity and Quantum Cosmology · Physics 2009-03-24 B. Vakili , N. Khosravi , H. R. Sepangi

In this work we solve thermo-hydrodynamical equations considering a two dimensional electron system in the integer quantum Hall regime, to calculate the spatial distribution of the local electron temperature. We start from the…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 N. Boz Yurdaşan , K. Akgüngör , A. Siddiki , İ. Sökmen

This paper discusses how particle production from the vacuum can be explained by local analysis when the field theory is defined by differential geometry on curved manifolds. We have performed the local analysis in a mathematically rigorous…

High Energy Physics - Theory · Physics 2025-07-25 Tomohiro Matsuda

The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the…

Statistical Mechanics · Physics 2013-11-13 Ivan Latella , Agustín Pérez-Madrid

The thermodynamics of local causal horizons has been shown to imply gravitational dynamics. In this essay, we discuss the principles underlying this observation, and its significance in our understanding of (quantum) gravity. We also show…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Marek Liška

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Fabian Wagner

We give an overview on a couple of recent results concerning the KMS-condition and the characterization of thermodynamic equilibrium states from a moving observer's point of view. These results include a characterization of vacuum states in…

Mathematical Physics · Physics 2007-05-23 Bernd Kuckert

Significant evidence is available to support the quantum effects of gravity that leads to the generalized uncertainty principle (GUP) and the minimum observable length. Usually quantum mechanics, statistical physics doesn't take gravity…

Quantum Gases · Physics 2020-06-24 Ya-ting Wang , He-ling Li

In contrast to recent criticism we undertake to show that the notion of Unruh temperature describes a real thermal property of the vacuum if viewed from an accelerated reference frame. We embed our investigation in a more general analysis…

General Relativity and Quantum Cosmology · Physics 2013-11-08 Manfred Requardt

This paper proposes a novel quantum effect wherein particle spectra show extra broadening due to local short-time acceleration (as well as in a deSitter spacetime background). This effect provides a simple interpretation for the…

General Relativity and Quantum Cosmology · Physics 2026-02-17 M. J. Luo

The influence of a curved spacetime $M$ on the physical behavior of an ideal gas of $N$ particles is analyzed by considering the phase space of the system as a region of the cotangent bundle $T^{*}M^{N}$ and using Souriau's Lie group…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Luis Aragón-Muñoz , Hernando Quevedo

Probing quantumness in curved spacetime is regarded as one of fundamental and important topics in the framework of relativistic quantum information. In this work, we focus on the theoretical feasibility of probing quantum properties in de…

High Energy Physics - Theory · Physics 2025-03-05 Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

The understanding of time and dynamics can be elucidated by examining the concept of entanglement in quantum theory. This particular perspective on time is referred to as the timeless approach, which posits that the universe exists in a…

General Relativity and Quantum Cosmology · Physics 2023-12-07 H. Hadi , F. Darabi , K. Atazadeh

The concept of work is studied in quantum thermostatistics of a system surrounded by an environment and driven by an external force. It is found that there emerges the gauge theoretical structure in a nonequilibrium process, the field of…

Statistical Mechanics · Physics 2009-11-11 Sumiyoshi Abe , Satoshi Kaneko

The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eduard Prugovecki

Within quantum field theory on a global monopole spacetime, we study thermal effects on a naked singularity and its relation with boundary conditions. We first obtain the two-points functions for the ground state and for thermal states of a…

High Energy Physics - Theory · Physics 2021-08-30 Lissa de Souza Campos , João Paulo M. Pitelli