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A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by…

量子物理 · 物理学 2023-01-18 Vladimir A. Yurovsky

In statistical mechanics, measuring the number of available states and their probabilities, and thus the system's entropy, enables the prediction of the macroscopic properties of a physical system at equilibrium. This predictive capacity…

统计力学 · 物理学 2023-12-14 Mathias Casiulis , Stefano Martiniani

We use the extended uncertainty principle (EUP) in order to obtain the R\'{e}nyi entropy for a black hole (BH). The result implies that the non-extensivity parameter, appeared in the R\'{e}nyi entropy formalism, may be evaluated from the…

广义相对论与量子宇宙学 · 物理学 2019-11-12 H. Moradpour , C. Corda , A. H. Ziaie , S. Ghaffari

We develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems. The relevant uncertainty principle is…

量子物理 · 物理学 2015-05-19 R. Srikanth , Subhashish Banerjee

We study the quantification of coherence in infinite dimensional systems, especially the infinite dimensional bosonic systems in Fock space. We show that given the energy constraints, the relative entropy of coherence serves as a…

量子物理 · 物理学 2016-01-27 Yu-Ran Zhang , Lian-He Shao , Yongming Li , Heng Fan

Entropy is the distinguishing and most important concept of our efforts to understand and regularize our observations of a very large class of natural phenomena, and yet, it is one of the most contentious concepts of physics. In this…

量子物理 · 物理学 2007-05-23 Elias P. Gyftopoulos

Under the scenario of generalized measurements, it can be questioned how much of quantum uncertainty can be attributed to measuring device, independent of the uncertainty in the measured system. On the course to answer the question, we…

量子物理 · 物理学 2016-08-01 Kyunghyun Baek , Wonmin Son

By making use of a recently proposed framework for the inference of thermodynamic irreversibility in bosonic quantum systems, we experimentally measure and characterize the entropy production rates in the non-equilibrium steady state of two…

Thermal fluctuations are not large enough to lead to state changes in granular materials. However, such materials do achieve reproducible bulk properties, suggesting that they are controlled by an underlying statistical mechanics analogous…

软凝聚态物质 · 物理学 2020-05-13 James D Sartor , Eric I Corwin

Algorithmic entropy can be seen as a special case of entropy as studied in statistical mechanics. This viewpoint allows us to apply many techniques developed for use in thermodynamics to the subject of algorithmic information theory. In…

数学物理 · 物理学 2013-02-27 John C. Baez , Mike Stay

In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can study certain embedded systems within a hybrid system as…

Integrability in string/field theories is known to emerge when considering dynamics in the moduli space of physical theories. This implies that one has to look at the dynamics with respect to unusual time variables like coupling constants…

高能物理 - 理论 · 物理学 2007-05-23 A. Mironov

Entropy has emerged as a dynamic, interdisciplinary, and widely accepted quantitative measure of uncertainty across different disciplines. A unified understanding of entropy measures, supported by a detailed review of their theoretical…

概率论 · 数学 2025-03-21 Naveen Kumar , Ambesh Dixit , Vivek Vijay

We rederive the thermodynamical properties of a non interacting gas in the presence of a minimal uncertainty in length. Apart from the phase space measure which is modified due to a change of the Heisenberg uncertainty relations, the…

高能物理 - 理论 · 物理学 2016-09-06 Musongela Lubo

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

量子物理 · 物理学 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

After the justification of the maximum entropy approach for equilibrium thermodynamic system, and of a maximum path entropy algorithm for nonequilibrium thermodynamic systems by virtue of the principle of virtual work, we present in this…

统计力学 · 物理学 2007-12-18 Qiuping A. Wang

The uncertainty on measurements, given by the Heisenberg principle, is a quantum concept usually not taken into account in General Relativity. From a cosmological point of view, several authors wonder how such a principle can be reconciled…

广义相对论与量子宇宙学 · 物理学 2020-08-26 Salvatore Capozziello , Micol Benetti , Alessandro D. A. M Spallicci

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

统计力学 · 物理学 2007-05-23 V. V. Ryazanov , S. G. Shpyrko

This study explores the cosmological constant problem and modified uncertainty principle within a unified framework inspired by a void-dominated scenario. In a recent paper~\cite{Yusofi:2022hgg}, voids were modeled as spherical bubbles of…

广义相对论与量子宇宙学 · 物理学 2024-05-14 S. Ahmadi , E. Yusofi , M. A. Ramzanpour

In the previous papers (Kui\'{c} et al. in Found Phys 42:319-339, 2012; Kui\'{c} in arXiv:1506.02622, 2015), it was demonstrated that applying the principle of maximum information entropy by maximizing the conditional information entropy,…

统计力学 · 物理学 2016-06-14 Domagoj Kuic