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The fluid flow across an unbounded horizontal plate embedded with uniform mass diffusion is studied in this article together with the impacts of the chemical reaction and parabolic motion, while the temperature and concentration of the…

Dynamical Systems · Mathematics 2024-10-08 P. Sivakumar , R. M. Madhusudhan , R. Muthucumaraswamy , A. Ramamoorthy

We employ the IllustrisTNG simulation data to investigate the turbulent and thermal motions of the cosmic baryonic fluid. With continuous wavelet transform techniques, we define the pressure spectra, or density-weighted velocity power…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-12 Yun Wang , Ping He

We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally…

Fluid Dynamics · Physics 2017-07-12 Jaroslav Hron , Vojtěch Miloš , Vít Průša , Ondřej Souček , Karel Tůma

A method is proposed for the calculation of vibrational quantum and thermal expectation values of physical properties from first principles. Thermal lines are introduced: these are lines in configuration space parametrized by temperature,…

Materials Science · Physics 2016-01-08 Bartomeu Monserrat

Decomposition formulas associated with the Lauricella multivariable hypergeometric functions were known, however, due to the recurrence of those formulas, additional difficulties may arise in the applications. Further study of the…

Analysis of PDEs · Mathematics 2019-05-29 Tuhtasin Ergashev

In this communication we introduce a pair of coupled continuum equations to model overlayer growth with evaporation-accretion due to thermal or mechanical agitations of the substrate. We gain insight into the dynamics of growth via one-loop…

Statistical Mechanics · Physics 2009-11-07 Ain-ul Huda , Omjyoti Dutta , Abhijit Mookerjee

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

Partially or totally unsolved questions in number theory and geometry especially, such as coloration problems, elementary geometric conjectures, partitions, generalized periods of a number, length of a generalized period, arithmetic and…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

We develop the laws of thermodynamics in terms of general exponential families. By casting learning (log-loss minimization) problems in max-entropy and statistical mechanics terms, we translate thermodynamics results to learning scenarios.…

Statistical Mechanics · Physics 2025-01-07 Akshay Balsubramani

Given a truncated perturbation expansion of a physical quantity, one can, under certain circumstances, obtain lower or upper bounds (or both) to the sum of the full perturbation series by using the Borel transform and a variational…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh R. Parwani

Raising the temperature of a material enhances the thermal motion of particles. Such an increase in thermal energy commonly leads to the melting of a solid into a fluid and eventually vaporises the liquid into a gaseous phase of matter.…

A previously tested differential equation method for generating low temperature series expansion for diagonal spin-spin correlation functions in the d=2 Ising model is extended to generate the non-universal terms for arbitrary separation of…

Statistical Mechanics · Physics 2007-05-23 Ranjan Kumar Ghosh

The dynamics of the dissipative two-level system at zero temperature is studied using three different cumulant expansion techniques. The relative merits and drawbacks of each technique are discussed. It is found that a new technique, the…

Condensed Matter · Physics 2009-10-28 D. R. Reichman , F. L. H. Brown , P. Neu

We report accelerating diffusive solutions to the diffusion equation with a constant diffusion tensor. The maximum values of the diffusion density evolve in an accelerating fashion described by Airy functions. We show the diffusive…

Statistical Mechanics · Physics 2021-06-29 Felipe A. Asenjo , Sergio A. Hojman

An often used rule that the thermal correction to the self-energy is the thermal phase-space times the forward scattering amplitude from target particles is shown to be the leading term in an exact multiple scattering expansion. Starting…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sangyong Jeon , Paul J. Ellis

We study, both numerically and analytically, the development of equilibrium after preheating. We show that the process is characterised by the appearance of Kolmogorov spectra and the evolution towards thermal equilibrium follows…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Micha , I. I. Tkachev

Data from a number of different experimental measurements have been used to construct caloric curves for five different regions of nuclear mass. These curves are qualitatively similar and exhibit plateaus at the higher excitation energies.…

Nuclear Experiment · Physics 2009-11-07 J. B. Natowitz , R. Wada , K. Hagel , T. Keutgen , M. Murray , A. Makeev , L. Qin , P. Smith , C. Hamilton

Projectile like fragments emerging from heavy ion collision have an excitation energy which is often labeled by a temperature. This temperature was recently calculated using a geometric model. We expand the geometric model to include also…

Nuclear Theory · Physics 2015-06-17 S. Mallik , S. Das Gupta , G. Chaudhuri

We propose and investigate a general form of the dissipative coefficient $\Gamma=C_{\phi}T^{m}/\phi^{m-1}$ in warm inflation. We focus on discussing the strong dissipative processes $r=\Gamma/3H\gg1$ in the thermal state of approximate…

High Energy Physics - Phenomenology · Physics 2010-04-15 Yi Zhang

The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approximations of the Fourier law, via memory relaxations and…

Analysis of PDEs · Mathematics 2022-07-05 Filippo Dell'Oro , Vittorino Pata
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