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Recent experimental observations have suggested that topological defects can facilitate the creation of sharp features in developing embryos. Whereas these observations echo established knowledge about the interplay between geometry and…

Soft Condensed Matter · Physics 2023-07-25 Ludwig A. Hoffmann , Livio Nicola Carenza , Luca Giomi

We theoretically investigate the pattern formation observed when a fluid flows over a solid substrate that can dissolve or melt. We use a turbulent mixing description that includes the effect of the bed roughness. We show that the…

Fluid Dynamics · Physics 2017-11-22 P. Claudin , O. Duran , B. Andreotti

This study explores how thermal disequilibrium during melt-infiltration and melt-rock interaction may modify the continental lithosphere from beneath. Using an idealized 1D model of thermal disequilibrium between melt-rich channels and the…

Geophysics · Physics 2020-12-29 Mousumi Roy

We introduce a time-dependent Eulerian-Lagrangian length-scale and an inverse locality hypothesis which explain scalings of second order one-particle Lagrangian structure functions observed in Kinematic Simulations (KS) of homogeneous…

Chaotic Dynamics · Physics 2007-05-23 M. A. I. Khan J. C. Vassilicos

Non-uniform temperature fields are analyzed, which arise in the problems of formation of the steady shock wave at impact and ramp loading of metals, exit of the steady shock wave to the free surface, and the shock wave passing through the…

Fluid Dynamics · Physics 2020-10-06 Konstantin V. Khishchenko , Alexander E. Mayer

We use direct numerical simulation to study the temporal evolution of a perturbation localized on the turbulent layer that typically separates a cloud from the surrounding clear air. Across this shearless layer, a turbulent kinetic energy…

A hydrodynamic formulation for accretion flow channeled by a dipolar magnetic field is constructed using a curvi-linear coordinate system natural to the field structure. We solve the hydrodynamic equations and determine the velocity,…

Astrophysics · Physics 2007-05-23 J. B. G. Canalle , Kinwah Wu , Mark Cropper , Gavin Ramsay , Curtis Saxton

We study continuum percolation with disks, a variant of continuum percolation in two-dimensional Euclidean space, by applying tools from topological data analysis. We interpret each realization of continuum percolation with disks as a…

Statistical Mechanics · Physics 2018-08-08 Leo Speidel , Heather A. Harrington , S. Jonathan Chapman , Mason A. Porter

Quasi-Keplerian flow, a special regime of Taylor-Couette co-rotating flow, is of great astrophysical interest for studying angular momentum transport in accretion disks. The well-known magnetorotational instability (MRI) successfully…

Fluid Dynamics · Physics 2024-10-08 Dongdong Wan , Rikhi Bose , Mengqi Zhang , Xiaojue Zhu

We use one-dimensional two-zone time-dependent accretion disk models to study the long-term evolution of protostellar disks subject to mass addition from the collapse of a rotating cloud core. Our model consists of a constant surface…

Solar and Stellar Astrophysics · Physics 2015-05-18 Zhaohuan Zhu , Lee Hartmann , Charles Gammie

We present a numerical method for spatially 1.5-dimensional and time-dependent studies of accretion disks around black holes, that is originated from a combination of the standard pseudo-spectral method and the adaptive domain decomposition…

Astrophysics · Physics 2009-06-23 Shuang-Liang Li , Li Xue , Ju-Fu Lu

Recent cutting-edge experiments have provided {\it in situ} structure characterization and measurements of the pressure ($P$), density ($\bar{\rho}$) and temperature ($T$) of shock compressed silicon in the 100 GPa range of pressures and…

Materials Science · Physics 2024-12-12 M. W. C. Dharma-wardana , Dennis D. Klug , Hannah Poole , G. Gregori

We consider a geometrically thin, Keplerian disk in the orbital plane of a binary black hole (BHBH) consisting of a spinning primary and low-mass secondary (mass ratio q < 1). To account for the principle effects of general relativity (GR),…

High Energy Astrophysical Phenomena · Physics 2013-06-18 Stuart L. Shapiro

We use Smoothed Particle Hydrodynamics to study viscous accretion flows around a weakly magnetic neutron star. We show the formation of multiple ``boundary" layers in presence of both cooling and viscosity. We find that with the…

High Energy Astrophysical Phenomena · Physics 2019-06-26 Ayan Bhattacharjee , Sandip K. Chakrabarti

We provide a comprehensive quantitative analysis of localized and extended topological defects in the steady state of 2D passive and active repulsive Brownian disk systems. We show that, both in and out-of-equilibrium, the passage from the…

We introduce several new models whose common feature is to take into account effects from topological vorticity. The macroscopic unknown is driven by a dissipative anomalous diffusion (of SQG-type) and is coupled with the orientation of the…

Analysis of PDEs · Mathematics 2026-01-27 Fanghua Lin , Yannick Sire , Yantao Wu , Yifu Zhou

A luminous body embedded in an accretion disk can generate asymmetric density perturbations that lead to a net torque and thus orbital migration of the body. Linear theory has shown that this heating torque gives rise to a migration term…

Earth and Planetary Astrophysics · Physics 2020-10-21 Amelia Hankla , Yan-Fei Jiang , Philip Armitage

Amorphous solids exhibit intrinsic, local structural transitions, that give rise to the well known quantum-mechanical two-level systems at low temperatures. We explain the microscopic origin of the electric dipole moment of these two-level…

Disordered Systems and Neural Networks · Physics 2009-11-11 Vassiliy Lubchenko , Robert J. Silbey , Peter G. Wolynes

We describe the growth of vesicles, due to the accretion of lipid molecules to their surface, in terms of linear irreversible thermodynamics. Our treatment differs from those previously put forward by consistently including the energy of…

Statistical Mechanics · Physics 2009-11-13 Duccio Fanelli , Alan J. McKane

Context. The dynamics of a low-mass protoplanet accreting solids is influenced by the heating torque, which was found to suppress inward migration in protoplanetary disks with constant opacities. Aims. We investigate the differences of the…

Earth and Planetary Astrophysics · Physics 2019-06-26 Ondřej Chrenko , Michiel Lambrechts