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We have studied thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. Deriving explicit expressions for thermodynamic quantities…

量子气体 · 物理学 2015-07-10 Abdulla Rakhimov , Iman N. Askerzade

In this note we revisit the Kovacs effect, concerning the way in which the volume of a glass-forming liquid, which has been driven out of equilibrium, changes with time while the system evolves towards a metastable state. The theoret- ical…

软凝聚态物质 · 物理学 2017-11-16 F. Aliotta , R. C. Ponterio , F. Saija , P. V. Giaquinta

Local thermal equilibrium generally implies the absence of heat flux within a fluid. We find the relations between a set of thermodynamic variables of a fluid on a general spacetime and those defined on a conformally connected spacetime,…

广义相对论与量子宇宙学 · 物理学 2025-07-09 Bhera Ram , Bibhas Ranjan Majhi

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

统计力学 · 物理学 2015-05-14 J. M. Deutsch

The energy of a dislocation loop in a continuum elastic solid under pressure is considered within the framework of classical mechanics. For a circular loop, this is a function with a maximum at pressures that are well within reach of…

其他凝聚态物理 · 物理学 2015-05-30 Felipe Barra , Fernando Lund , Nicolás Mujica , Sergio Rica

Amorphous solids tend to present an abundance of soft elastic modes, which diminish their transport properties, generate heterogeneities in their elastic response, and affect non-linear processes like thermal activation of plasticity. This…

软凝聚态物质 · 物理学 2016-06-22 Le Yan , Eric DeGiuli , Matthieu Wyart

We show that fundamental thermodynamic relations can be derived from deterministic mechanics for a non-ergodic system. This extend a similar derivation for ergodic systems and suggests that ergodicity should not be considered as a…

统计力学 · 物理学 2018-11-13 V. L. Kulinskii , K. S. Glavatskiy

In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seventy years later, the topic is not fully understood: while…

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

Among the various laboratory studies to investigate the Thermo-Hydro-Mechanical (THM) behaviour of Boom clay, relatively few were devoted to the time dependent behaviour, limiting any relevant analysis of the long-term behaviour of the…

经典物理 · 物理学 2009-04-24 Yu-Jun Cui , Trung Tinh Le , Anh-Minh Tang , Pierre Delage , Xiang-Ling Li

An effective temperature $T_{\rm eff}$ which differs from the bath temperature is believed to play an essential role in the theory of elasto-plasticity of amorphous solids. The definition of a measurable $T_{\rm eff}$ in the literature on…

统计力学 · 物理学 2015-05-14 Laurent Boue' , H. G. E. Hentschel , Itamar Procaccia , Ido Regev , Jacques Zylberg

We explore the instabilities developed in a fluid in which viscosity depends on temperature. In particular, we consider a dependency that models a very viscous (and thus rather rigid) lithosphere over a convecting mantle. To this end, we…

流体动力学 · 物理学 2014-02-13 Jezabel Curbelo , Ana M. Mancho

The invariance under co-ordinate transformations of a set of partial differential equations can lead to the possibility of invisibility cloaking, whereby an anomaly in the interior of a body is shielded from an external observer. The form…

经典物理 · 物理学 2019-03-18 F. Syvret , D. Al-Attar

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

材料科学 · 物理学 2009-11-13 Th. Voigtmann

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

统计力学 · 物理学 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We study volume transition phenomenon in hydrogels within the framework of Flory-Rehner thermodynamic modelling; we show that starting from different models for the Flory parameter different conclusions can be achieved, in terms of…

软凝聚态物质 · 物理学 2016-04-20 Emilio N. M. Cirillo , Paola Nardinocchi , Giulio Sciarra

We examine the dependence of a thermodynamic potential of a fluid on the geometry of its container. If motion invariance, continuity, and additivity of the potential are fulfilled, only four morphometric measures are needed to describe…

软凝聚态物质 · 物理学 2016-08-31 P. -M. König , R. Roth , K. R. Mecke

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

统计力学 · 物理学 2015-08-10 Lina Gu , Jiulin Du

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

统计力学 · 物理学 2010-02-10 François Sausset , Gilles Tarjus

We show that, in nonequilibrium systems with small heat flows, there is a time-scale dependent effective temperature which plays the same role as the thermodynamical temperature, in that it controls the direction of heat flows and acts as a…

无序系统与神经网络 · 物理学 2009-10-28 Leticia F. Cugliandolo , Jorge Kurchan , Luca Peliti