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The question of whether the hyper-dissipative (HD) Napier-Stokes (NS) system can exhibit spontaneous formation of singularities in the super-critical regime--the hyper-diffusion being generated by a fractional power of the Laplacian, say…

Analysis of PDEs · Mathematics 2025-02-25 Zoran Grujic , Liaosha Xu

An initially planar shock wave propagating into a medium of non-uniform density will be perturbed, leading to the generation of post-shock velocity perturbations. Using numerical simulations we study this phenomenon in the case of…

We demonstrate theoretically that the characteristic feature of a 2D system undergoing $N$ consequent Lifshitz topological transitions is the occurrence of spikes of entropy per particle $s$ of a magnitude $\pm \ln 2/(J-1/2)$ with $2 \leq J…

Mesoscale and Nanoscale Physics · Physics 2017-09-01 V. Yu. Tsaran , A. V. Kavokin , S. G. Sharapov , A. A. Varlamov , V. P. Gusynin

In this article some of the hydrodynamical (HD) aspects of steady shocks as described by the steady-state shock model are reviewed and discussed. It is found that, at least in some of the contexts in which the steady-state model is used,…

Astrophysics · Physics 2015-05-13 A. Preite Martinez

In eruptive solar flares, termination shocks (TSs), formed when high-speed reconnection outflows collide with closed dense flaring loops, are believed to be one of the possible candidates for plasma heating and particle acceleration. In…

Solar and Stellar Astrophysics · Physics 2018-12-26 Chengcai Shen , Xiangliang Kong , Fan Guo , John C. Raymond , Bin Chen

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

The eigenstate thermalization hypothesis (ETH) is a successful theory that establishes the criteria for ergodicity and thermalization in isolated quantum many-body systems. In this work, we investigate the thermalization properties of…

The electronic structure of FeSe, the simplest iron based superconductor (Fe-SC), conceals a potential of dramatic increase of Tc that realizes under pressure or in a single layer film. This is also the system where nematicity, the…

Superconductivity · Physics 2017-02-14 Yu. V. Pustovit , A. A. Kordyuk

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

Soft Condensed Matter · Physics 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

Synchrotron emission is ubiquitous in explosive astrophysical events -- it is a natural byproduct of shocks formed when matter expelled by the explosion collides with ambient material. This emission is well-observed in various classes of…

High Energy Astrophysical Phenomena · Physics 2024-11-13 Ben Margalit , Eliot Quataert

On the one hand, the dissipated heat of a thermodynamic work extraction process upper bounds the non-predictive information, which the associated system encodes about its environment. Thus, emergent information processing capabilities can…

Neurons and Cognition · Quantitative Biology 2020-09-10 Kai Ueltzhöffer

In strongly-correlated systems the electronic properties at the Fermi energy (EF) are intertwined with those at high energy scales. One of the pivotal challenges in the field of high-temperature superconductivity (HTSC) is to understand…

If and how an isolated quantum system thermalizes despite its unitary time evolution is a long-standing, open problem of many-body physics. The eigenstate thermalization hypothesis (ETH) postulates that thermalization happens at the level…

Quantum Gases · Physics 2018-11-06 Anna Posazhennikova , Mauricio Trujillo-Martinez , Johann Kroha

Higher-order dispersion can lead to intriguing dynamics that are becoming a focus of modern hydrodynamics research. Such systems occur naturally, for example in shallow water waves and nonlinear optics, for which several types of novel…

Quantum Gases · Physics 2021-06-15 Maren E. Mossman , Edward S. Delikatny , Michael McNeil Forbes , Peter Engels

From Navier-Stokes turbulence numerical simulations we show that for the extended self similarity (ESS) method it is essential to take the third order structure function taken with the modulus and called $D_3^*(r)$, rather than the standard…

chao-dyn · Physics 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

Short abstract: We present fully 3-D simulations of supersonic, radiatively cooling intermittent jets with intermediate and long variability periods (that is, periods of the order of or longer than, the dynamical time scale of the jet).…

Astrophysics · Physics 2009-10-22 E. M. de Gouveia Dal Pino , W. Benz

We develop a method of stochastic differential equation to simulate electron acceleration at astrophysical shocks. Our method is based on It\^{o}'s stochastic differential equations coupled with a particle splitting, employing a skew…

High Energy Astrophysical Phenomena · Physics 2015-03-09 Ryo Yamazaki , Tatsuo Yoshida , Yuka Tsuchihashi , Ryosuke Nakajima , Yutaka Ohira , Shohei Yanagita

In the framework of the planar t-J model for cuprates we analyze the development of a pseudo gap in the density of states, which at low doping starts to emerge for temperatures T<J and persists up to the optimum doping. The analysis is…

Strongly Correlated Electrons · Physics 2007-05-23 A. Ramsak , P. Prelovsek , I. Sega

The aim of this paper is to discuss some basic notions regarding generic glass forming systems composed of particles interacting via soft potentials. Excluding explicitly hard-core interaction we discuss the so called `glass transition' in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jean-Pierre Eckmann , Itamar Procaccia

We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment with the aid of step-like initial conditions. Dispersive regularization of the ensuing hydrodynamic…

Pattern Formation and Solitons · Physics 2024-08-20 Sathyanarayanan Chandramouli , Simeon I. Mistakidis , Garyfallia C. Katsimiga , Panayotis G. Kevrekidis