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Using classical differential geometry, the problem of elastic curves and surfaces in the presence of long-range interactions $\Phi$, is posed. Starting from a variational principle, the balance of elastic forces and the corresponding…

统计力学 · 物理学 2015-06-12 J. A. Santiago , G. Chacon-Acosta , O. Gonzalez-Gaxiola

The concept of a non-equilibrium interfacial tension, defined via the work required to deform the system such that the interfacial area is changed while the volume is conserved, is investigated theoretically in the context of the relaxation…

统计力学 · 物理学 2015-10-21 Markus Bier

We study the conditions of integrability when the boundary terms are considered in the variation of the geometric contribution of the Einstein-Hilbert action. We explore the emergent physical dynamics that is obtained when we make a…

广义相对论与量子宇宙学 · 物理学 2019-07-22 Jesús Martín Romero , Luis Santiago Ridao , Mauricio Bellini

The steady state properties of an interface in a stationary Couette flow are addressed within the framework of fluctuating hydrodynamics. Our study reveals that thermal fluctuations are driven out of equilibrium by an effective shear rate…

软凝聚态物质 · 物理学 2010-04-26 Marine Thiébaud , Thomas Bickel

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

统计力学 · 物理学 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

In this paper we introduce a variational model for the study of multilayer films that allows for the treatment of both coherent and incoherent interfaces between layers. The model is designed in the framework of the theory of Stress Driven…

偏微分方程分析 · 数学 2024-01-29 Randy Llerena , Paolo Piovano

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

化学物理 · 物理学 2018-12-24 Pierre Gaspard , Raymond Kapral

A variational principle is further developed for out of equilibrium dynamical systems by using the concept of maximum entropy. With this new formulation it is obtained a set of two first-order differential equations, revealing the same…

数据分析、统计与概率 · 物理学 2019-03-22 Mario J. Pinheiro

Coupling between chemical fuel consumption and phase separation can lead to condensation at a nonequilibrium steady state, resulting in phase behaviors that are not described by equilibrium thermodynamics. Theoretical models of such…

软凝聚态物质 · 物理学 2025-05-23 Yongick Cho , William M. Jacobs

We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur at the interface, we have to consider phase transition. This…

数学物理 · 物理学 2024-01-10 Hajime Koba

By using a limit analysis for the motion equations of viscous fluid endowed with internal capillarity, we are able to propose a dynamical expression for the surface tension of moving liquid-vapour interfaces without any phenomenological…

数学物理 · 物理学 2013-11-19 Henri Gouin

Symmetries represent a fundamental constraint for physical systems and relevant new phenomena often emerge as a consequence of their breaking. An important example is provided by space- and time-translational invariance in statistical…

统计力学 · 物理学 2012-12-21 Matteo Marcuzzi , Andrea Gambassi , Michel Pleimling

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · 物理学 2008-02-03 Z. Hens , X. de Hemptinne

The approach to the analysis of the dynamic of non-equilibrium open systems within the framework of the laws of classical mechanics on the example a hard-disks is offered. This approach was based on Hamilton and Liouville generalized…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

The dynamics of an interface in a two-component Bose-Einstein condensate driven by a spatially uniform time-dependent force is studied. Starting from the Gross-Pitaevskii Lagrangian, the dispersion relation for linear waves and…

量子气体 · 物理学 2015-05-27 D. Kobyakov , V. Bychkov , E. Lundh , A. Bezett , V. Akkerman , M. Marklund

Analyzing complex fluid flow problems that involve multiple coupled domains, each with their respective set of governing equations, is not a trivial undertaking. Even more complicated is the elaborate and tedious task of specifying the…

流体动力学 · 物理学 2017-08-18 Alexandre Martin , Huaibao Zhang , Kaveh A. Tagavi

We derive the equations of nonlinear magnetoelastostatics using several variational formulations involving the mechanical deformation and an independent field representing the magnetic component. An equivalence is also discussed, modulo…

经典物理 · 物理学 2023-12-21 Basant Lal Sharma , Prashant Saxena

A self-consistent theory for the classical description of the interaction of light and matter at the nano-scale is presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured materials with…

光学 · 物理学 2020-10-07 J. V. Alvarez , Bahram Djafari-Rouhani , Dani Torrent

Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress tensor. This stress tensor can be used to express the force…

软凝聚态物质 · 物理学 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

材料科学 · 物理学 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han