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We derive the equation for the evolution of the curvature perturbation on the comoving time slice, $\mathcal{R}_c$, in the presence of anisotropic and non-adiabatic terms in the energy-momentum tensor of matter fields. The equation is…

广义相对论与量子宇宙学 · 物理学 2019-11-21 Atsushi Naruko , Antonio Enea Romano , Misao Sasaki , Sergio Vallejo Penas

In this paper, we present a U(1)-invariant expansion theory of the adiabatic process. As its application, we propose and discuss new sufficient adiabatic approximation conditions. In the new conditions, we find a new invariant quantity…

量子物理 · 物理学 2009-04-15 Jianda Wu , Meisheng Zhao , Jianlan Chen , Yongde Zhang

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

统计力学 · 物理学 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

For ergodic adiabatic quantum systems, we study the evolution of energy distribution as the system evolves in time. Starting from the von Neumann equation for the density operator, we obtain the quantum analogue of the Smoluchowski equation…

chao-dyn · 物理学 2015-06-24 Sudhir R. Jain

This note reviews some physical aspects of the chaotic hypothesis in nonequilibrium statistical mechanics and attempts at the physical interpretation of the fluctuation theorem as a quantitative intermittency property

混沌动力学 · 物理学 2008-02-26 Giovanni Gallavotti

Quantum adiabatic evolution, an important fundamental concept inphysics, describes the dynamical evolution arbitrarily close to the instantaneous eigenstate of a slowly driven Hamiltonian. In most systems undergoing spontaneous…

量子物理 · 物理学 2020-04-28 Min Zhuang , Jiahao Huang , Yongguan Ke , Chaohong Lee

We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an upper bound on the leading correction terms with respect to…

数学物理 · 物理学 2016-09-07 A. Joye , F. Monti , S. Guerin , H. R. Jauslin

The entropy increases enormously when a star collapses into a black hole. This entropy increase is interpreted as the decrease of the temperature due to the increase of the volume. Through these investigation the microscopic states of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Tetsuya Hara , Keita Sakai , Daigo Kajiura

In these lecture notes, we review the adiabatic theorem in quantum mechanics, focusing on a recent extension to many-body systems. The role of locality is emphasized and the relation to the quasi-adiabatic flow discussed. An important…

数学物理 · 物理学 2019-03-19 Sven Bachmann , Wojciech De Roeck , Martin Fraas

This contribution analyses the classical laws of motion by means of an approach relating time and entropy. We argue that adopting the notion of change of states as opposed to the usual derivation of Newton's laws in terms of fields a…

综合物理 · 物理学 2007-06-19 R Assumpcao

We study the dynamics of quantum-memory-assisted entropic uncertainty for a hybrid qutrit-qubit system interacting with fluctuating quantum scalar field in the background of expanding de Sitter space. We firstly derive the master equation…

量子物理 · 物理学 2019-05-06 Zhiming Huang

Natural human movements are stereotyped. They minimise cost functions that include energy, a natural candidate from mechanical and physiological points of view. In time-changing environments, however, motor strategies are modified since…

医学物理 · 物理学 2020-12-03 N. Boulanger , F. Buisseret , V. Dehouck , F. Dierick , O. White

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

广义相对论与量子宇宙学 · 物理学 2025-07-16 Tanisha Joshi

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between…

量子物理 · 物理学 2025-12-23 Hyunsoo Ha , David A. Huse , Grace M. Sommers

The transition motion of a point particle around the last stable orbit of Kerr is described at leading order in the transition-timescale expansion. Taking systematically into account all self-force effects, we prove that the transition…

广义相对论与量子宇宙学 · 物理学 2021-12-17 Geoffrey Compère , Lorenzo Küchler

The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a general expression for the density of excitations produced in…

统计力学 · 物理学 2009-11-13 Dario Patanè , Alessandro Silva , Luigi Amico , Rosario Fazio , Giuseppe E. Santoro

Here we deconstruct, and then in a reasoned way reconstruct, the concept of "entropy of a system," paying particular attention to where the randomness may be coming from. We start with the core concept of entropy as a COUNT associated with…

综合物理 · 物理学 2017-05-10 Tommaso Toffoli

To describe the nonequilibrium states of the system, a new thermodynamic parameter - system lifetime - is introduced. Statistical distributions that describe the behavior of energy and lifetime are recorded. Entropy and obtained…

统计力学 · 物理学 2019-10-14 V. V. Ryazanov

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

统计力学 · 物理学 2009-08-27 Shi-Jian Gu
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