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To investigate the consequences of component confinement such as at a glass transition and the well-known energy or enthalpy gap (between the glass and the perfect crystal at absolute zero, see text), we follow our previous approach [Phys.…

统计力学 · 物理学 2015-03-17 P. D. Gujrati

In this article the study of four dimensional spaces with NUT charges and their ground states is continued. In particular, through the introduction of an improved action principle containing topological densities, it is shown that these…

广义相对论与量子宇宙学 · 物理学 2017-07-19 Rodrigo Aros

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

统计力学 · 物理学 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

In this paper we develop a theoretical description of the correlations between ultra-cold bosons after free expansion from confinement in an optical lattice. We consider the system evolution during expansion and give criteria for a far…

其他凝聚态物理 · 物理学 2008-07-23 E. Toth , A. M. Rey , P. B. Blakie

This paper studies the stability of an abstract thermoelastic system with Cattaneo's law, which describes finite heat propagation speed in a medium. We introduce a region of parameters containing coupling, thermal dissipation, and possible…

偏微分方程分析 · 数学 2024-09-23 Chenxi Deng , Zhong-Jie Han , Zhaobin Kuang , Qiong Zhang

When two initially thermal many-body systems start interacting strongly, their transient states quickly become non-Gibbsian, even if the systems eventually equilibrate. To see beyond this apparent lack of structure during the transient…

量子物理 · 物理学 2023-08-15 Karen V. Hovhannisyan , Somayyeh Nemati , Carsten Henkel , Janet Anders

This paper tests how effectively the bound states of strongly interacting gauge theories are amenable to an emergent description as a thermal ensemble. This description can be derived from a conjectured minimum free energy principle, with…

核理论 · 物理学 2023-04-05 Pouya Asadi , Varun Vaidya

Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of…

We apply the method of shortcuts to adiabaticity to nonequilibrium systems. For unitary dynamics, the system Hamiltonian is separated into two parts. One of them defines the adiabatic states for the state to follow and the nonadiabatic…

统计力学 · 物理学 2017-11-27 Kazutaka Takahashi

Most elemental metals under ambient conditions adopt simple structures such as BCC, FCC and HCP in specific groupings across the Periodic Table, and on compression, many of these elements undergo transitions to surprisingly complex…

材料科学 · 物理学 2022-06-27 Yuanhui Sun , Lei Zhao , Chris J. Pickard , Russell J. Hemley , Yonghao Zheng , Maosheng Miao

We present an example counter to the widely-accepted concept on equilibrium states that "Any thermodynamic equilibrium state of two component systems is determined by specifying 4 thermodynamic variables that include at least 1 extensive…

软凝聚态物质 · 物理学 2018-05-16 Yuki Norizoe , Toshihiro Kawakatsu

Equilibrium statistical mechanics rests on the assumption of ergodic dynamics of a system modulo the conservation laws of local observables: extremization of entropy immediately gives Gibbs' ensemble (GE) for energy conserving systems and a…

统计力学 · 物理学 2022-04-20 Asmi Haldar , Arnab Das

The idealized mode coupling theory (MCT) is applied to colloidal systems interacting via short-range attractive interactions of Yukawa form. At low temperatures MCT predicts a slowing down of the local dynamics and ergodicity breaking…

软凝聚态物质 · 物理学 2009-10-31 J. Bergenholtz , M. Fuchs

This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production…

统计力学 · 物理学 2015-06-02 Christian Maes

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

统计力学 · 物理学 2020-08-28 Philipp Strasberg

We discuss a semi-implicit numerical scheme that allows for minimizing the bending energy of curves within certain isotopy classes. To this end we consider a weighted sum of the bending energy and the tangent-point functional. Based on…

数值分析 · 数学 2018-04-09 Sören Bartels , Philipp Reiter

Thermodynamics is usually developed starting from entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example in the context of local…

统计力学 · 物理学 2020-11-17 Stefan Floerchinger , Tobias Haas

Zurek, Habib and Paz [W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett. {\bf 70} (1993)\ 1187] have characterized the set of states of maximal stability defined as the set of states having minimum entropy increase due to interaction…

量子物理 · 物理学 2009-10-28 Michael R. Gallis

Conformal field theories in curved backgrounds have been used to describe inhomogeneous one-dimensional systems, such as quantum gases in trapping potentials and non-equilibrium spin chains. This approach provided, in a elegant and simple…

统计力学 · 物理学 2019-03-26 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

Given an energy-dissipating port-Hamiltonian system, we characterise the exponential decay of the energy via the model ingredients under mild conditions on the Hamiltonian density $\mathcal{H}$. In passing, we obtain generalisations for…

偏微分方程分析 · 数学 2024-02-29 Sascha Trostorff , Marcus Waurick
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