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In this paper we construct a q-analogue of the Legendre transformation, where q is a matrix of formal variables defining the phase space braidings between the coordinates and momenta (the extensive and intensive thermodynamic observables).…

Quantum Algebra · Mathematics 2015-05-14 Artur E. Ruuge , Freddy van Oystaeyen

Relativistic heat transport in electron-two-temperature plasmas with density gradients has been investigated. The Legendre expansion analysis of relativistically modified kinetic equations shows that strong inhibition of heat flux appears…

Plasma Physics · Physics 2009-11-10 Mitsuru Honda

Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

When analyzing thermodynamic and kinetic properties of crystals whose anisotropy is not large and the considered effects do not relate to the existence of singled-out directions in crystals, one may use a more simple model of an isotropic…

Statistical Mechanics · Physics 2020-04-15 Yu. M. Poluektov

This Chapter introduces QCD at finite temperature and density. We first present the formulation of the thermal theory in the Euclidean path integral formalism. We then describe how the strong dynamics at high temperature can be inspected…

High Energy Physics - Phenomenology · Physics 2026-02-24 Matteo Bresciani

Thermal rectification which is a diode-like behavior of heat flux has been studied over a long time. However, a universal and systematic physical description is still lacking. In this letter, a perturbation theory of thermal rectification…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Chuang Zhang , Meng An , Zhaoli Guo , Songze Chen

In this paper Quantum Mechanics with Fundamental Length is built as a deformation of Quantum Mechanics. To this aim an approach is used which does not take into account commutator deformation as usually it is done, but density matrix…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. E. Shalyt-Margolin , J. G. Suarez

Solid He-4 is viewed as a nearly perfect Debye solid. Yet, recent calorimetry measurements by the PSU group (J. Low Temp. Phys. 138, 853 (2005) and Nature 449, 1025 (2007)) indicate that at low temperatures the specific heat has both cubic…

Materials Science · Physics 2011-04-08 M. J. Graf , A. V. Balatsky , Z. Nussinov , I. Grigorenko , S. A. Trugman

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour

The thermodynamic dislocation theory presented in preceding papers is used here to describe shear-banding instabilities. Central ingredients of the theory are a thermodynamically defined effective configurational temperature, and a formula…

Materials Science · Physics 2016-12-02 J. S. Langer

We study the thermoelectric transport under shear strain in two spatial dimensional quantum matter using the holographic duality. General analytic formulae for the DC thermoelectric conductivities subjected to finite shear strain are…

High Energy Physics - Theory · Physics 2022-12-28 Teng Ji , Li Li , Hao-Tian Sun

The Heisenberg algebra is deformed with the set of parameters ${q, l,\lambda}$ to generate a new family of generalized coherent states respecting the Klauder criteria. In this framework, the matrix elements of relevant operators are exactly…

Mathematical Physics · Physics 2012-11-15 Joseph Désiré Bukweli , Mahouton Norbert Hounkonnou

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

A precise calculation that translates shifts of X-ray K-absorption edges to variations of thermodynamic properties allows quantitative characterization of interior thermodynamic properties of warm dense plasmas by X-ray absorption…

Plasma Physics · Physics 2016-03-23 Shen Zhang , Shijun Zhao , Wei Kang , Ping Zhang , Xian-Tu He

It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or first-) class constraints. (Saclay, T93/027).

High Energy Physics - Theory · Physics 2015-06-26 Sergey V. Shabanov

The classical limit of quantum q-oscillators suggests an interpretation of the deformation as a way to introduce non linearity. Guided by this idea, we considered q-fields, the partition fumction, and compute a consequence on specific heat…

High Energy Physics - Theory · Physics 2015-06-26 V. I. Man'ko G. Marmo , S. Solimeno , F. Zaccaria

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

Statistical Mechanics · Physics 2014-08-27 L. S. Metlov

We propose a novel coupled dark energy model which is assumed to occur as a q-deformed scalar field and investigate whether it will provide an expanding universe phase. We consider the q-deformed dark energy as coupled to dark matter…

General Relativity and Quantum Cosmology · Physics 2016-12-09 Emre Dil

A general scheme for determining and studying hydrodynamic type systems describing integrable deformations of algebraic curves is applied to cubic curves. Lagrange resolvents of the theory of cubic equations are used to derive and…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Y. Kodama , B. Konopelchenko , L. Martinez Alonso , E. Medina

The approach of nonequilibrium evolution thermodynamics earlier offered is developed. It helps to describe the processes of defect formation within the adiabatic approximation. The basic equations system depends on the initial defects…

Materials Science · Physics 2015-10-23 A. V. Khomenko , D. S. Troshchenko , L. S. Metlov