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Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

The equilibrium behavior of binary mixtures can be understood through the competition of energy scales, which classifies their corresponding phase diagrams into distinct topological regimes (Types I-IV). However, in many soft-matter…

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

General Finance · Quantitative Finance 2021-02-03 Sergey Rashkovskiy

We present some novel thermodynamic ideas based on the Maupertuis principle. By considering Hamiltonians written in terms of appropriate action-angle variables we show that thermal states can be characterized by the action variables and by…

Statistical Mechanics · Physics 2008-04-15 V. Garcia-Morales , J. Pellicer , J. A. Manzanares

A set of nonlinear equations for the macroscopic theory of elastic semiconductors is derived which generalizes the seminal work of Tiersten by including the inertia of the mobile charge carriers. The equations obtained can describe carrier…

Materials Science · Physics 2024-03-13 Jiashi Yang

Validity of local equilibrium has been questioned for non-equilibrium systems which are characterized by delayed response. In particular, for systems with non-zero thermodynamic inertia, the assumption of local equilibrium leads to negative…

Statistical Mechanics · Physics 2015-07-29 K. S. Glavatskiy

The temperature of a mechanical body has a kinetic interpretation: it describes the relative motion of particles within the body. Since the relative velocity of two particles is a Lorentz invariant, so is the temperature. In statistical…

Classical Physics · Physics 2019-02-15 Nikodem Popławski

I present a microscopic framework in which quantum phenomena emerge from particle-particle interactions governed by Newton's second law of motion. Within this approach, stationary states and quantized energy spectra arise naturally for the…

Quantum Physics · Physics 2025-11-19 Dennis M. Heim

In any physical theory that admits true indeterminism, the thermodynamic arrow of time can arise regardless of the system's initial conditions. Hence on such theories time's arrow emerges out of the basic physical interactions. The example…

Quantum Physics · Physics 2007-05-23 Shahar Dolev , Avshalom C. Elitzur , Meir Hemmo

The information shared among observables representing processes of interest is traditionally evaluated in terms of macroscale measures characterizing aggregate properties of the underlying processes and their interactions. Traditional…

Information Theory · Computer Science 2018-01-31 Rui A. P. Perdigão

A key feature of non-equilibrium thermodynamics is the Markovian, deterministic relaxation of coarse observables such as, for example, the temperature difference between two macroscopic objects which evolves independently of almost all…

Quantum Physics · Physics 2014-04-08 Hendrik Niemeyer , Kristel Michielsen , Hans de Raedt , Jochen Gemmer

The thermal expansion of a fluid combined with a temperature-dependent viscosity introduces nonlinearities in the Navier-Stokes equations unrelated to the convective momentum current. The couplings generate the possibility for net fluid…

Soft Condensed Matter · Physics 2009-11-13 Franz M. Weinert , Jonas A. Kraus , Thomas Franosch , Dieter Braun

The relationship between microsystems and macrosystems is considered in the context of quantum field formulation of statistical mechanics: it is argued that problems on foundations of quantum mechanics can be solved relying on this…

Quantum Physics · Physics 2015-06-26 L. Lanz , O. Melsheimer , B. Vacchini

The internal layers of neutron stars are expected to contain several superfluid components that can significantly affect their dynamics. The description of such objects should rely on hydrodynamic models in which it is possible to…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Lorenzo Gavassino , Marco Antonelli

Thermodynamics can be formulated in either of two approaches, the phenomenological approach, which refers to the macroscopic properties of systems, and the statistical approach, which describes systems in terms of their microscopic…

Quantum Physics · Physics 2019-05-01 Mirjam Weilenmann , Lea Krämer Gabriel , Philippe Faist , Renato Renner

The short time behavior of a disturbed system is influenced by off-shell motion and best characterized by the reduced density matrix possessing high energetic tails. We present analytically the formation of correlations due to collisions in…

Quantum Physics · Physics 2016-11-23 Klaus Morawetz , Václav Špička , Pavel Lipavský

The dynamics of irreversible relaxation of non-equilibrium macroscopic systems is discussed. Arguments are developed showing that the general process is supported by two independent successive mechanisms. One is mixing and it follows pure…

chao-dyn · Physics 2008-02-03 X de Hemptinne

In this article, we present an approach for the thermodynamics of phase oscillators induced by an internal multiplicative noise. We analytically derive the free energy, entropy, internal energy, and specific heat. In this framework, the…

Statistical Mechanics · Physics 2016-06-01 Pedro D. Pinto , Fernando A. Oliveira , Andre L. A. Penna

High-scale string inflationary models are in well-known tension with low-energy supersymmetry. A promising solution involves models where the inflaton is the volume of the extra dimensions so that the gravitino mass relaxes from large…

High Energy Physics - Theory · Physics 2016-01-20 Michele Cicoli , Francesco Muia , Francisco Gil Pedro

Inertia of a particle is due to its mass as well as intrinsic spin. The latter is revealed via the coupling of intrinsic spin with rotation. The spin-rotation coupling and the concomitant spin-gravity coupling are discussed in connection…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Bahram Mashhoon