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Heat transfer by large deformable drops in a turbulent flow is a complex and rich in physics system, in which drops deformation, breakage and coalescence influence the transport of heat. We study this problem coupling direct numerical…

Fluid Dynamics · Physics 2023-09-26 Francesca Mangani , Alessio Roccon , Francesco Zonta , Alfredo Soldati

We analytically investigate the thermodynamic variables of a hot and dense system, in the framework of the Tsallis non-extensive classical statistics. After a brief review, we start by recalling the corresponding massless limits for all the…

Statistical Mechanics · Physics 2016-11-30 Trambak Bhattacharyya , Jean Cleymans , Sylvain Mogliacci

We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete attractor that consists of entire discrete trajectories.…

Numerical Analysis · Mathematics 2026-04-07 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

The Tsallis entropy, which is a generalization of the Boltzmann-Gibbs entropy, plays a central role in nonextensive statistical mechanics of complex systems. A lot of efforts have recently been made on establishing a dynamical foundation…

Statistical Mechanics · Physics 2009-11-11 Sumiyoshi Abe , Yutaka Nakada

We simulate phase separated fluids using the Cahn-Hillard fluctuating hydrodynamic (CH-FHD) model and measure the statistical properties of capillary waves generated by thermal fluctuations. Our measurements are in good agreement with…

Soft Condensed Matter · Physics 2024-04-03 J. B. Bell , A. Nonaka , A. L. Garcia

We focus our attention on dynamical processes characterized by an entropic index Q<1. According to the probabilistic arguments of Tsallis and Bukman [C.Tsallis, D.J. Bukman, Phys. Rev. E 54,R2197 (1996)] these processes are subdiffusional…

Statistical Mechanics · Physics 2015-06-25 Leone Fronzoni , Paolo Grigolini , Simone Montangero

The modeling of diffusion processes on graphs is the basis for many network science and machine learning approaches. Entropic measures of network-based diffusion have recently been employed to investigate the reversibility of these…

Dynamical Systems · Mathematics 2025-10-23 Samuel Koovely , Alexandre Bovet

A fluid between two spheres, concentric or not, at different temperatures will flow in the presence of a constant gravitational force. Although there is no possible hydrostatic state, energy transport is dominated by diffusion if…

Fluid Dynamics · Physics 2015-09-22 A. D. Gallegos , C. Malaga

Patterns formed by the flow of an inhomogeneous fluid (suspension) over a smooth inclined surface were studied. It was observed that for inclination angle larger than a threshold, global fractal patterns are formed. The fractal dimensions…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maleki-Jirsaraei , B. Ghane-Motlagh , S. Baradaran , E. Shekarian , S. Rouhani

We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Grzegorz Wilk , Zbigniew Wlodarczyk

A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with diffusion. The theory is developed in the…

Mathematical Physics · Physics 2024-04-17 Alexander Mielke , Tomáš Roubíček

This paper presents a comprehensive analysis of the double-differential $p_T$ distributions of charged particles in twelve distinct pseudorapidity regions of equal width in $pp$ collisions at center-of-mass energies of 0.9, 2.36, and 7 TeV.…

High Energy Physics - Phenomenology · Physics 2024-10-21 Haifa I. Alrebdi , Muhammad Ajaz , Murad Badshah , Muhammad Waqas , Nourah A. M. Alsaif

The original canonical ensemble formalism for the nonextensive entropy thermostatistics is reconsidered. It is shown that the unambiguous connection of the statistical mechanics with the equilibrium thermodynamics is provided if the…

Statistical Mechanics · Physics 2009-11-11 A. S. Parvan

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative…

Statistical Mechanics · Physics 2015-07-20 Mebratu F. Wakeni , B. D. Reddy , A. T. McBride

The self-propulsion of +1/2 topological defects is a hallmark of active nematic fluids, where the defects are advected by the flow field they themselves generate. In this paper we propose a minimal model for defect self-propulsion in a…

Soft Condensed Matter · Physics 2025-08-08 Fridtjof Brauns , Myles O'Leary , Arthur Hernandez , Mark J. Bowick , M. Cristina Marchetti

We use well-resolved direct numerical simulations of high-Reynolds-number turbulence to study a fundamental statistical property of turbulence -- the asymmetry of velocity increments -- with likely implications on important dynamics. This…

Fluid Dynamics · Physics 2022-10-11 Katepalli R. Sreenivasan , Kartik P. Iyer , Ashvin Vinodh

To predict the mean temperature profiles in turbulent thermal convection, the thermal boundary layer (BL) equation including the effects of fluctuations has to be solved. In Shishkina et al., Phys. Rev. Lett. 114 (2015), the thermal BL…

Fluid Dynamics · Physics 2017-11-22 Olga Shishkina , Susanne Horn , Mohammad S. Emran , Emily S. C. Ching

A model to explain the statistics of the velocity gradients in the dissipation range of a turbulent flow is presented. The experimentally observed non-gaussian statistics is theoretically predicted by means of a thermodynamical analogy…

Statistical Mechanics · Physics 2007-05-23 Jacopo Bellazzini

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approach is offered that effectively propagates the statistics in time. Loss of sensitivity to an…

Fluid Dynamics · Physics 2010-05-18 Edsel A. Ammons

A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly show the thermodynamic limit and also derive the Legendre Transform…

Statistical Mechanics · Physics 2009-10-31 Ramandeep S. Johal , Renuka Rai