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According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal compressible two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable,…

Fluid Dynamics · Physics 2025-08-11 Junkai Wang , Qiaolin He

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…

Statistical Mechanics · Physics 2019-10-14 V. V. Ryazanov

We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths beyond perturbation theory. Our approach is based on the exact time-local quantum master equation for the reduced open…

Quantum Physics · Physics 2022-05-31 Alessandra Colla , Heinz-Peter Breuer

We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a two-order parameter description in terms of charge density and polarization, we derive a…

Soft Condensed Matter · Physics 2023-02-08 Ralf Blossey , Rudolf Podgornik

Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solutions to these systems in their fractional forms, which is a…

Analysis of PDEs · Mathematics 2025-01-13 Qasim Khan

In this paper, we study a hyperbolic-parabolic coupled system arising in nonlinear three-dimensional thermoelasticity. We establish the global well-posedness and asymptotic behavior of solutions. Our main result shows that, a thermoelastic…

Analysis of PDEs · Mathematics 2026-03-11 Chuang Ma , Bin Guo

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

Quantum Physics · Physics 2014-11-24 Vitalii Semin , Francesco Petruccione

A thermodynamically consistent framework able to model either diffusive and displacive phase transitions is proposed. The first law of thermodynamics, the balance of linear momentum equation and the Cahn-Hilliard equation for solute mass…

Materials Science · Physics 2015-03-17 Mirko Maraldi , Luisa Molari , Diego Grandi

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

Multi-component molecular machines are ubiquitous in biology. We review recent progress on describing their thermodynamic properties using autonomous bipartite Markovian dynamics. The first and second laws can be split into local versions…

Statistical Mechanics · Physics 2023-04-10 Jannik Ehrich , David A. Sivak

All current formulations of nonequilibrium thermodynamics of open chemical reaction networks rely on the assumption of non-interacting species. We develop a general theory which accounts for interactions between chemical species within a…

Statistical Mechanics · Physics 2021-03-09 Francesco Avanzini , Emanuele Penocchio , Gianmaria Falasco , Massimiliano Esposito

A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of "macrostates" (e.g. sets of "microstates"), the consequence on…

Statistical Mechanics · Physics 2015-06-03 Massimiliano Esposito

We derive a class of equations of state for a multi-phase thermodynamic system associated with a finite set of order parameters that satisfy an integrable system of hydrodynamic type. As particular examples, we discuss one-phase systems…

Mathematical Physics · Physics 2015-06-17 Giuseppe De Nittis , Paolo Lorenzoni , Antonio Moro

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature and velocity), in…

Statistical Mechanics · Physics 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

Non-equilibrium and equilibrium thermodynamics of an interacting component of a special-relativistic multi-component system is discussed by using an entropy identity. The special case of the corresponding free component is considered.

General Relativity and Quantum Cosmology · Physics 2017-01-17 Wolfgang Muschik

We set up and study a coupled problem on stationary non-isothermal flow of electrorheological fluids. The problem consist in finding functions of velocity, pressure and temperature which satisfy the motion equations, the condition of…

Mathematical Physics · Physics 2007-05-23 R. H. W. Hoppe , W. G. Litvinov

State-of-the-art simulations of high-energy nuclear collisions rely on hybrid setups, involving in particular a pre-equilibrium stage to let the system evolve from a far-from-equilibrium initial condition towards a near-equilibrated state…

Nuclear Theory · Physics 2024-10-31 Nicolas Borghini , Renata Krupczak , Hendrik Roch

Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao

The definition of nonequilibrium entropy is provided for the general nonequilibrium processes by connecting thermodynamics with statistical physics, and the principle of entropy increment in the nonequilibrium processes is also proved in…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Xiaochun Mei

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček