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We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar…

Materials Science · Physics 2010-09-03 Yong S. Chen , Woosong Choi , Stefanos Papanikolaou , James P. Sethna

The structural and magnetic properties of the hexagonal four-layer form of SrMnO$_3$ have been investigated by combining magnetization measurements, electron diffraction and high-resolution synchrotron X-ray and neutron powder diffraction.…

Strongly Correlated Electrons · Physics 2007-05-23 A. Daoud-Aladine , C. Martin , L. C. Chapon , M. Hervieu , K. S. Knight , M. Brunelli , P. G. Radaelli

We find three distinct phases; a tubular phase, a planar phase, and the spherical phase, in a triangulated fluid surface model. It is also found that these phases are separated by discontinuous transitions. The fluid surface model is…

Statistical Mechanics · Physics 2009-11-13 Hiroshi Koibuchi

The origin of rigidity in disordered materials is an outstanding open problem in statistical physics. Previously, a class of 2D cellular models has been shown to undergo a rigidity transition controlled by a mechanical parameter that…

Soft Condensed Matter · Physics 2023-01-18 Matthias Merkel , Lisa Manning

Many models of fractal growth patterns (like Diffusion Limited Aggregation and Dielectric Breakdown Models) combine complex geometry with randomness; this double difficulty is a stumbling block to their elucidation. In this paper we…

Statistical Mechanics · Physics 2007-05-23 Benny Davidovich , M. J. Feigenbaum , H. G. E. Hentschel , Itamar Procaccia

A progress report on two recent theoretical approaches proposed to understand the physics of irreversible fractal aggregates showing up a structural transition from a rather dense to a more multibranched growth is presented. In the first…

Condensed Matter · Physics 2008-08-31 E. Canessa

The study of grain boundary phase transitions is an emerging field until recently dominated by experiments. The major bottleneck in exploration of this phenomenon with atomistic modeling has been the lack of a robust computational tool that…

Materials Science · Physics 2018-02-21 Qiang Zhu , Amit Samanta , Bingxi Li , Robert E. Rudd , Timofey Frolov

An asteroid spun up to its critical limit has unique surface mechanical properties that its gravity and the centrifugal force largely balance, creating a relaxation environment where low-energy events such as mass shedding may trigger…

Earth and Planetary Astrophysics · Physics 2023-04-26 Zhijun Song , Yang Yu , Bin Cheng , Jing Lv , Hexi Baoyin

Moir\'e superstructures arising at twisted 2D interfaces have recently attracted the attention of the scientific community due to exotic quantum states and unique mechanical and tribological behaviors that they exhibit. Here, we predict the…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Andrea Silva , Xiang Gao , Melisa M. Gianetti , Roberto Guerra , Nicola Manini , Andrea Vanossi , Michael Urbakh , Oded Hod

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

Statistical Mechanics · Physics 2009-11-11 A. Milchev , M. Mueller , K. Binder

Fracture processes in multi-phase solids are inherently complex due to multiple competing mechanisms. Here, we investigate the elastic and fracture behaviour of two-phase solids, comprising a fragile phase and a tough phase using a…

Statistical Mechanics · Physics 2025-06-17 Subrat Senapati , Anuradha Banerjee , R Rajesh

The adhesion dynamics of a membrane confined between two permeable walls is studied using a two-dimensional hydrodynamic model. The membrane morphology decomposes into adhesion patches on the upper and the lower walls and obeys a nonlinear…

Soft Condensed Matter · Physics 2014-09-16 Thomas Le Goff , Paolo Politi , Olivier Pierre-Louis

In this paper we focus on crystal surfaces led out of equilibrium by a growth or erosion process. As a consequence of that the surface may undergo morphological instabilities and develop a distinct structure: ondulations, mounds or…

Materials Science · Physics 2015-06-05 Paolo Politi

Using a coarse molecular-dynamics (CMD) approach with an appropriate choice of coarse variable (order parameter), we map the underlying effective free-energy landscape for the melting of a crystalline solid. Implementation of this approach…

Materials Science · Physics 2009-11-11 Miguel A. Amat , Ioannis G. Kevrekidis , Dimitrios Maroudas

In this work the coupled motion of two different phases of {\Sigma}5(210)[001] grain boundaries were investigated by molecular dynamics simulations of fcc Cu. The effect of interfacial structural phase transitions is shown to have a…

Materials Science · Physics 2015-06-19 Timofey Frolov

A long-standing goal of materials science is to understand, predict and control the evolution of microstructures in crystalline materials. Most microstructure evolution is controlled by interface motion; hence, the establishment of rigorous…

Materials Science · Physics 2022-02-14 Jian Han , David J. Srolovitz , Marco Salvalaglio

As a departure from existing continuum approaches for describing the stability and evolution of surfaces of crystalline materials, this article provides a description of surface evolution based on the physics of the main feature imposed by…

Condensed Matter · Physics 2009-11-07 V. B. Shenoy , L. B. Freund

Modeling the spontaneous evolution of morphology in natural systems and its preservation by proportionate growth remains a major scientific challenge. Yet, it is conceivable that if the basic mechanisms of growth and the coupled kinetic…

Soft Condensed Matter · Physics 2020-12-30 Virginia von Streng , Rami Abi-Akl , Bianca Giovanardi , Tal Cohen

Protein folding, peptide aggregation and crystallization, as well as adsorption of molecules on soft or solid substrates have an essential feature in common: In all these processes, structure formation is guided by a collective, cooperative…

Statistical Mechanics · Physics 2009-02-12 Michael Bachmann , Wolfhard Janke

Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation…

Statistical Mechanics · Physics 2007-07-24 Hiroshi Koibuchi