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Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

Soft Condensed Matter · Physics 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

Soft Condensed Matter · Physics 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

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…

Soft Condensed Matter · Physics 2016-08-31 P. -M. König , R. Roth , K. R. Mecke

Present-day thermodynamics has long outgrown the initial frames of the heat-engine theory and transmuted into a rather general macroscopic method for studying kinetics of various transfer processes in their inseparable connection with the…

General Physics · Physics 2014-04-02 V. A Etkin

Thermoelectricity is traditionally explained via Onsager's irreversible, flux-force framework. The coupled flows of heat and electric charge are modelled as steady-state flows, driven by the thermodynamic forces defined in terms of the…

Statistical Mechanics · Physics 2022-01-03 Jasleen Kaur , Ramandeep S. Johal

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of…

Mathematical Physics · Physics 2007-05-23 Sebastiano Pennisi , Maria Cristina Carrisi , Antonio Scanu

The modern theory of elasticity and the first law of thermodynamics are cornerstones of engineering science that share the concept of reversibility. Engineering researchers have known for four decades that the modern theory violates the…

Soft Condensed Matter · Physics 2019-11-21 Christopher M. Szalwinski

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

A generally relativistic theory of thermodynamics is developed, based on four main physical principles: heat is a local form of energy, therefore described by a thermal energy tensor; conservation of mass, equivalent to conservation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

The theory of irreversible thermodynamics for arbitrarily curved lipid membranes is presented here. The coupling between elastic bending and irreversible processes such as intra-membrane lipid flow, intra-membrane phase transitions, and…

Soft Condensed Matter · Physics 2018-03-28 Amaresh Sahu , Roger A. Sauer , Kranthi K. Mandadapu

The continuum equations of fluid mechanics are rederived with the intention of keeping certain mechanical and thermodynamic concepts separate. A new "mechanical" mass density is created to be used in computing inertial quantities, whereas…

Fluid Dynamics · Physics 2017-01-25 Melissa Morris

Experiments show that all the derivatives of the thermo-physical variables are nearly constant. The constant value of the derivatives indicates linear relationship between the variables. Neither the volume coefficient of thermal expansion…

Chemical Physics · Physics 2007-05-23 Jozsef Garai

'Relativistic thermodynamics' should be understood not as a generalization of a non-relativistic theory but as an application of a general thermodynamic framework, neutral as to spacetime setting and allowing arbitrary conserved quantities,…

Statistical Mechanics · Physics 2025-08-06 David Wallace

Implicit rate-type constitutive relations utilizing discontinuous functions provide a novel approach to the purely phenomenological description of the inelastic response of solids undergoing finite deformation. However, this type of…

Soft Condensed Matter · Physics 2020-07-02 David Cichra , Vít Průša

Active matter describes systems whose constituents convert energy from their surroundings into directed motion, such as bacteria or catalytic colloids. We establish a thermodynamic law for dilute suspensions of interacting active particles…

Statistical Mechanics · Physics 2025-07-22 Lennart Dabelow , Ralf Eichhorn

A unified thermodynamic framework for characterization of functional materials is developed. This framework encompasses linear reversible and irreversible processes with thermal, electrical, magnetic, and/or mechanical effects coupled. The…

Materials Science · Physics 2016-10-07 Sushma Santapuri

The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must…

Materials Science · Physics 2017-12-06 J. S. Langer

A simple and effective approach to thermodynamics is suggested, which solves the major difficulties in the traditional presentation of the subject. The internal energy is introduced from the behavior of deformable bodies, whereas the…

General Physics · Physics 2012-03-13 Rodrigo de Abreu , Vasco Guerra
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