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In this paper we formulate a geometric theory of thermal stresses. Given a temperature distribution, we associate a Riemannian material manifold to the body, with a metric that explicitly depends on the temperature distribution. A change of…

Mathematical Physics · Physics 2015-05-14 Arkadas Ozakin , Arash Yavari

An irreversible thermodynamical theory of solids is presented where the kinematic quantities are defined in an automatically objective way. Namely, auxiliary elements like reference frame, reference time and reference configuration are…

Classical Physics · Physics 2015-12-22 Tamás Fülöp

Geometric evolution represents a fundamental aspect of many physical phenomena. In this paper we consider the geometric evolution of structures that undergo topological changes. Topological changes occur when the shape of an object evolves…

Soft Condensed Matter · Physics 2019-06-11 James E. McClure , Steffen Berg , Ryan T. Armstrong

We use a one dimensional hydrodynamical code to study the evolution of spherically symmetric perturbations in the framework of Modified Newtonian Dynamics (MOND). The code evolves spherical gaseous shells in an expanding Universe by…

Astrophysics · Physics 2009-11-11 Adi Nusser , Etienne Pointecouteau

We have developed a new theory relating partial molar volumes of binary mixtures to the specific (Voronoi) volumes. A simple relation gives new insight into the physical meaning of partial molar volumes in terms of the actual volumes…

Chemical Physics · Physics 2025-04-21 Kristian Polanco Olsen , Bjorn Hafskjold , Anders Lervik , Alex Hansen

The nonisothermal single-component theory of droplet nucleation (Alekseechkin, 2014) is extended to binary case; the droplet volume V, composition x, and temperature T are the variables of the theory. An approach based on macroscopic…

Chemical Physics · Physics 2015-09-02 Nikolay V. Alekseechkin

We show that thermodynamics can be formulated naturally from the intrinsic geometry of phase space alone-without postulating an ensemble, which instead emerges from the geometric structure itself. Within this formulation, phase transitions…

Statistical Mechanics · Physics 2025-12-03 Loris Di Cairano

The mechanical behaviors of polycrystalline solids are determined by the interplay between phenomena governed by two different thermodynamic temperatures: the configurational effective temperature that controls the density of dislocations,…

Materials Science · Physics 2016-12-28 J. S. Langer

The pivotal point of the paper is to discuss the behavior of temperature, pressure, energy density as a function of volume along with determination of caloric EoS from following two model: $w(z)=w_{0}+w_{1}\ln(1+z)$ & $…

General Physics · Physics 2015-03-09 Sridip Pal , Ritabrata Biswas

We review the main aspects of geometrothermodynamics, a formalism that uses contact geometry and Riemannian geometry to describe the properties of thermodynamic systems. We show how to handle in a geometric way the invariance of classical…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Orlando Luongo , Hernando Quevedo

A geometrically nonlinear theory for field dislocation thermomechanics based entirely on measurable state variables is proposed. Instead of starting from an ordering-dependent multiplicative decomposition of the total deformation gradient…

Materials Science · Physics 2024-12-18 Gabriel Dante Lima-Chaves , Amit Acharya , Manas Vijay Upadhyay

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

We analyse the evolution of cosmological perturbations which leads to the formation of large voids in the distribution of galaxies. We assume that perturbations are spherical and all components of the Universe - radiation, matter and dark…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Maksym Tsizh , Bohdan Novosyadlyj

A thermal spectrum is often taken as a signature that the emitted probe has reached detailed balance with the surrounding medium. We show that this interpretation is not generally valid by studying how the microscopic emission kernel…

High Energy Physics - Phenomenology · Physics 2026-05-01 Xingjian Lu , Shuzhe Shi

Under the fluctuation of the electric charge and atomic mass, this paper considers the theory of the thin film depletion layer formation of an ensemble of finitely excited, non-empty $d/f$-orbital heavy materials, from the thermodynamic…

Statistical Mechanics · Physics 2015-05-20 S. Bellucci , B. N. Tiwari

We present a relativistic quantum mechanics of a point mass with absolute thermodynamic time and temperature, combined to a single complex parameter of evolution. In this theory, the geometric time is introduced as one of space-time…

High Energy Physics - Theory · Physics 2007-05-23 Vadim V. Asadov , Oleg V. Kechkin

A new statistical approach is presented to study the thermal instability process of optically thin unmagnetized plasma. In this approach the time evolution of mass distribution function over temperature is calculated. This function…

Astrophysics · Physics 2009-10-30 A. F. Illarionov , I. V. Igumenshchev

We are presenting the basic ingredients of a stringy mechanism able to resolve both the Hagedorn instabilities of finite temperature superstrings as well as the initial singularity of the induced cosmology in arbitrary dimensions. These are…

High Energy Physics - Theory · Physics 2015-05-28 Costas Kounnas , Herve Partouche , Nicolaos Toumbas

In this note, we explore the thermodynamic properties of the universe in the background of the generalized energy-momentum-squared gravity. We derive the energy density of matter from the non-standard continuity equation and use it in our…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Prabir Rudra , Behnam Pourhassan

A version of massive gravity, namely conformal massive gravity, is employed to study the behavior of thermodynamic geometry for both the static and the rotating regular black holes. Whereas in thermodynamic geometry singularity can be…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Saheb Soroushfar , Reza Saffari , Amare Abebe , Haidar Sheikhahmadi
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