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We describe our modelling of the radiatively cooling shocks and their thin shells with various numerical tools in different physical and calculational setups. We inspect structure of the dense shell, its formation and evolution, pointing…

High Energy Astrophysical Phenomena · Physics 2016-05-05 D. A. Badjin , S. I. Glazyrin , K. V. Manukovskiy , S. I. Blinnikov

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

A simple, though rarely considered, thought experiment on relativistic rotation is described in which internal inconsistencies in the theory of relativity seem to arise. These apparent inconsistencies are resolved by appropriate insight…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert D. Klauber

The fractal structure of spin clusters and their boundaries in the critical two-dimensional (2D) Ising model is investigated numerically. The fractal dimensions of these geometrical objects are estimated by means of Monte Carlo simulations…

Statistical Mechanics · Physics 2009-11-10 Wolfhard Janke , Adriaan M. J. Schakel

We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a pertubative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas…

Statistical Mechanics · Physics 2009-11-13 R. Chakrabarti , R. Chandrashekar , S. S. Naina Mohammed

Fractal structures are observed in the universe in two very different ways. Firstly, in the gas forming the cold interstellar medium in scales from 10^{-4} pc till 100 pc. Secondly, the galaxy distribution has been observed to be fractal in…

Astrophysics · Physics 2015-06-24 H. J. de Vega , N. S'anchez , F. Combes

In this paper we discuss the entanglement properties of a thermal non-relativistic free bosonic field. We demonstrate how to formally construct spatial modes in order to use a continuous variable separability criterion and show that the…

Quantum Physics · Physics 2007-06-13 L. Heaney , J. Anders , V. Vedral

Convection occurs ubiquitously on and in rotating geophysical and astrophysical bodies. Prior spherical shell studies have shown that the convection dynamics in polar regions can differ significantly from the lower latitude, equatorial…

Fluid Dynamics · Physics 2023-01-18 T. Gastine , J. M. Aurnou

Starting from the second law of thermodynamics applied to an isolated system consisting of the system surrounded by an extremely large medium, we formulate a general non-equilibrium thermodynamic description of the system when it is out of…

Statistical Mechanics · Physics 2015-05-14 P. D. Gujrati

The divergence of the thermal conductivity in the thermodynamic limit is thoroughly investigated. The divergence law is consistently determined with two different numerical approaches based on equilibrium and non-equilibrium simulations. A…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri , Roberto Livi , Antonio Politi

Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Such phenomena are quite commonly observed in Nature, ranging…

Statistical Mechanics · Physics 2007-05-23 Ning-Ning Pang , Hisen-Ching Kao , Wen-Jer Tzeng

Multifractal dimensions allow for characterizing the localization properties of states in complex quantum systems. For ergodic states the finite-size versions of fractal dimensions converge to unity in the limit of large system size.…

Statistical Mechanics · Physics 2019-10-30 Arnd Bäcker , Masudul Haque , Ivan M. Khaymovich

Fractals and multifractals and their associated scaling laws provide a quantification of the complexity of a variety of scale invariant complex systems. Here, we focus on lattice multifractals which exhibit complex exponents associated with…

Statistical Mechanics · Physics 2009-04-14 W. -X. Zhou , D. Sornette

We study the conditions under which thermal fluctuations generated in the contracting phase of a non-singular bouncing cosmology can lead to a scale-invariant spectrum of cosmological fluctuations at late times in the expanding phase. We…

High Energy Physics - Theory · Physics 2009-08-05 Yi-Fu Cai , Wei Xue , Robert Brandenberger , Xinmin Zhang

We show that by changing a single non-dimensional number, the thermal Rossby number, global atmospheric simulations with only axisymmetric forcing pass from an Earth-like atmosphere to a superrotating atmosphere that more resembles the…

Earth and Planetary Astrophysics · Physics 2015-05-19 Jonathan L. Mitchell , Geoffrey K. Vallis

The dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the existence of a fundamental scaling ratio (b_1). We address time-dependent physical…

Statistical Mechanics · Physics 2009-11-13 M. A. Bab , G. Fabricius , Ezequiel V. Albano.

The relationship between a decaying strong turbulence and kinetic instabilities in a slowly expanding plasma is investigated using two-dimensional (2-D) hybrid expanding box simulations. We impose an initial ambient magnetic field…

Studies of non-equilibrium dynamics of cosmological phase transitions may involve a scalar field interacting weakly with the energy-momentum tensor of a thermal plasma. At late times, when the scalar field is approaching equilibrium, it…

High Energy Physics - Phenomenology · Physics 2018-04-27 G. Jackson , M. Laine

We investigate the thermodynamics of non-relativistic and relativistic ideal gases on the spacetime with noncommutative fuzzy geometry. We first find that the heat capacities of the non-relativistic ideal boson and fermion on the fuzzy…

High Energy Physics - Theory · Physics 2009-09-28 Wung-Hong Huang

We compute deviations from ideal gas behavior of the pressure, density, and Bose-Einstein condensation temperature of a relativistic gas of charged scalar bosons caused by the current-current interaction induced by electromagnetic quantum…

High Energy Physics - Theory · Physics 2021-11-10 D. M. Reis , C. A. A. de Carvalho