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Tropical limit for macroscopic systems in equilibrium defined as the formal limit of Boltzmann constant k going to 0 is discussed. It is shown that such tropical limit is well-adapted to analyse properties of systems with highly degenerated…

数学物理 · 物理学 2015-05-20 M. Angelelli , B. Konopelchenko

We study the issue of temperature in a steady system around a black hole event horizon, contrasting it with the appearance of divergence in a thermal equilibrium system. We focus on a spherically symmetric system governed by general…

广义相对论与量子宇宙学 · 物理学 2024-01-04 Hyeong-Chan Kim

We study the transition probabilities of a two-point measurement on a quantum system, initially prepared in a thermal state. We find two independent constraints on the difference between transition probabilities when the system is prepared…

介观与纳米尺度物理 · 物理学 2025-05-20 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Inès Safi , Janine Splettstoesser

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

数学物理 · 物理学 2012-01-24 Nikolaj A. Veniaminov

We introduce "local uncertainty relations" in thermal many body systems. Using these relations, we derive basic bounds. These results include the demonstration of universal non-relativistic speed limits (regardless of interaction range),…

量子物理 · 物理学 2022-07-14 Zohar Nussinov , Saurish Chakrabarty

A theoretical proposal that Coulomb-coupled quantum dots can be used as quantum probes to determine the temperature of a sample (i.e., an electronic reservoir) is proposed. Through the regulation of the positive or negative voltage bias in…

介观与纳米尺度物理 · 物理学 2019-08-13 Yanchao Zhang , Jincan Chen

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

统计力学 · 物理学 2016-04-11 Gianmaria Falasco , Marco Baiesi

This paper deals with Coulomb gases at an intermediate temperature regime. We define a local empirical field and identify a critical temperature scaling. We show that if the scaling of the temperature is supercritical, the local empirical…

概率论 · 数学 2023-05-23 David Padilla-Garza

We derive equations of motion for the reduced density matrix of a heavy quarkonium in contact with a quark-gluon plasma in thermal equilibrium. These equations allow in particular a proper treatment of the regime when the temperature of the…

高能物理 - 唯象学 · 物理学 2018-10-17 Jean-Paul Blaizot , Miguel Angel Escobedo

We have investigated the effect of the long-range Coulomb interaction on the one-particle excitation spectrum of n-type Germanium, using tunneling spectroscopy on mechanically controllable break junctions. The tunnel conductance was…

强关联电子 · 物理学 2009-10-31 B. Sandow , K. Gloos , R. Rentzsch , A. N. Ionov , W. Schirmacher

We study Coulomb blockade effects in the thermodynamic quantities of a weakly disordered metallic grain coupled to a metallic lead by a tunneling contact with a large conductance $g_T$. We consider the case of broken time-reversal symmetry…

介观与纳米尺度物理 · 物理学 2009-11-07 I. S. Beloborodov , A. V. Andreev

We consider the real $\beta$-ensemble (or 1D log-gas) of dimension $N$ in the high-temperature regime, \textit{i.e.} where the inverse temperature $\beta$ scales as $N\beta=2P$ with $P$ a fixed positive parameter. We establish the large-$N$…

概率论 · 数学 2026-05-12 Charlie Dworaczek Guera

This paper discusses relativistic corrections to the thermal Coulomb potential for simple atomic systems. The theoretical description of the revealed thermal corrections is carried out within the framework of relativistic quantum…

原子物理 · 物理学 2021-05-19 D. Solovyev , T. Zalialiutdinov , A. Anikin

A method for computing the thermopower in interacting systems is proposed. This approach, which relies on Monte Carlo simulations, is illustrated first for a diatomic chain of hard-point elastically colliding particles and then in the case…

统计力学 · 物理学 2015-10-01 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function $E$ defined on all bounded open sets of $\R^3$. Our aim is to give…

数学物理 · 物理学 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

Temperature of a finite-sized system fluctuates due to the thermal fluctuations. However, a systematic mathematical framework for measuring or estimating the temperature is still underdeveloped. Here, we incorporate the estimation theory in…

统计力学 · 物理学 2026-03-17 Shaoyong Zhang , Zhaoyu Fei , Xiaoguang Wang

We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Decreasing the temperature, obtained in a standard way through…

统计力学 · 物理学 2026-04-03 Hyeongjin Kim , Souvik Bandyopadhyay , Anatoli Polkovnikov

We demonstrate that the differential magnetic susceptibility of a fractional quantum Hall disk, representing a Coulomb island in a Fabry--Perot interferometer, is exactly proportional to the island's conductance and its paramagnetic peaks…

介观与纳米尺度物理 · 物理学 2015-03-13 Lachezar S. Georgiev

This paper analyzes a transient thermo-electromagnetic problem arising in the modeling of induction heating processes. Unlike previous studies that focused on steady-state scenarios, we consider a time-dependent thermal problem coupled with…

数值分析 · 数学 2026-04-29 D. Gómez , B. López-Rodríguez , P. Salgado , P. Venegas

The model under consideration is an asymmetric two-dimensional Coulomb gas of positively (q_1=+1) and negatively (q_2=-1/2) charged pointlike particles, interacting via a logarithmic potential. This continuous system is stable against…

统计力学 · 物理学 2007-05-23 L. Samaj