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We consider partially hyperbolic diffeomorphisms $f$ with a one-dimensional central direction such that the unstable entropy exceeds the stable entropy. Our main result proves that such maps have a finite number of ergodic measures of…

Dynamical Systems · Mathematics 2024-05-09 Juan Carlos Mongez , Maria Jose Pacifico

Point defects are ubiquitous in two dimensional crystals and play a fundamental role in determining their mechanical and thermodynamical properties. When crystals are formed on a curved background, finite length grain boundaries (scars) are…

Soft Condensed Matter · Physics 2009-11-11 Mark Bowick , Homin Shin , Alex Travesset

The diffusion of intrinsic defects in 3C-SiC is studied using an ab initio method based on density functional theory. The vacancies are shown to migrate on their own sublattice. The carbon split-interstitials and the two relevant silicon…

Materials Science · Physics 2009-11-10 Michel Bockstedte , Alexander Mattausch , Oleg Pankratov

Sub-diffusion in biological systems is conventionally treated as anomalous, requiring fractional derivatives, heavy-tailed waiting times, or fitted memory kernels. We argue that this anomaly is an artifact of an incomplete phase space.…

Statistical Mechanics · Physics 2026-05-19 Patrick BarAvi

Nanoscale diffusion at the interfaces in multilayers plays a vital role in controlling their physical properties for a variety of applications. In the present work depth-dependent interdiffusion in a Si/Fe/Si trilayer has been studied with…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ajay Gupta , Dileep Kumar , Vaishali Phatak

Normal incidence ion irradiation at elevated temperatures, when amorphization is prevented, induces novel nanoscale patterns of crystalline structures on elemental semiconductors by a reverse epitaxial growth mechanism: on Ge surfaces…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Xin Ou , Adrian Keller , Manfred Helm , Jürgen Fassbender , Stefan Facsko

The planar front of a growing a crystal is often destroyed by instabilities. In the case of growth from a condensed phase, the most frequent ones are diffusion instabilities, which will be but briefly discussed in simple terms in chapter…

Materials Science · Physics 2007-05-23 Paolo Politi , Genevieve Grenet , Alain Marty , Anne Ponchet , Jacques Villain

How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder…

Statistical Mechanics · Physics 2007-05-23 Ligang Chen , Michael W. Deem

We propose a new type of morphological instability in the diffusion-limited growth of faceted crystals from the vapor phase that can explain the formation of thin ice plates at temperatures near -15 C. The instability appears when the…

Materials Science · Physics 2007-05-23 Kenneth G. Libbrecht

The experiments conducted by various scientific groups indicate that, in dense two-dimensional systems of elongated particles subjected to vibration, the pattern formation is possible. Computer simulations have evidenced that the random…

Topological defects are an essential part of the structure and dynamics of all liquid crystals, and they are particularly important in experiments and simulations on active liquid crystals. In a recent paper, Vromans and Giomi [Soft Matter,…

Soft Condensed Matter · Physics 2017-08-23 Xingzhou Tang , Jonathan V. Selinger

The nature and interplay of intrinsic point and extended defects in n-type Si-doped InN epilayers with free carrier concentrations up to 6.6x10E20cm-3 are studied using positron annihilation spectroscopy and transmission electron microscopy…

The excess entropy, Se, defined as the difference between the entropies of the liquid and the ideal gas under identical density and temperature conditions, is shown to be the critical quantity connecting the structural, diffusional and…

Soft Condensed Matter · Physics 2009-11-11 Ruchi Sharma , Somendra Nath Chakraborty , Charusita Chakravarty

The improvements of the knowledge of the seismic structure of the inner core and the complexities thereby revealed ask for a dynamical origin. Sub-solidus convection was one of the early suggestions to explain the seismic anisotropy, but it…

Geophysics · Physics 2014-08-12 Stéphane Labrosse

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

Fluid Dynamics · Physics 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che

Atomistic computer simulations are applied to investigate the atomic structure, thermal stability, and diffusion processes in Al-Si interphase boundaries as a prototype of metal-ceramic interfaces in composite materials. Some of the most…

Materials Science · Physics 2023-08-24 Ian Chesser , Raj Koju , Akshay Vellore , Yuri Mishin

Point defects play a crucial role in crystalline materials as they do not only impact the thermodynamic properties but are also central to kinetic processes. While they are necessary in thermodynamic equilibrium spontaneous defect formation…

Materials Science · Physics 2020-08-03 Erik Fransson , Paul Erhart

We report surprising morphological changes of suspension droplets (containing class II hydrophobin protein HFBI from Trichoderma reesei and water) as they evaporate with a contact line pinned on a rigid solid substrate. Both pendant and…

To simulate the transient enhanced diffusion near the surface or interface, a set of equations describing the impurity diffusion and quasichemical reactions of dopant atoms and point defects in ion-implanted layers is proposed and analyzed.…

Materials Science · Physics 2007-05-23 O. I. Velichko , Yu. P. Shaman , A. K. Fedotov , A. V. Masanik

We investigate deposit patterns and associated morphology formed after the evaporation of an aqueous droplet containing mono- and bi-dispersed colloidal particles. In particular, the combined effect of substrate heating and particle…

Fluid Dynamics · Physics 2018-07-11 Nagesh D. Patil , Rajneesh Bhardwaj , Atul Sharma