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Related papers: Eutectic Growth in Two-Phase Multicomponent Alloys

200 papers

Hydrodynamics is known to have strong effects on the kinetics of phase separation. There exist open questions on how such effects manifest in systems under confinement. Here, we have undertaken extensive studies of the kinetics of phase…

Soft Condensed Matter · Physics 2025-11-03 Saikat Basu , Suman Majumder , Raja Paul , Subir K. Das

The epitaxial growth process of a high symmetry surface occurs because adatoms meet and nucleate new islands, that eventually coalesce and complete atomic layers. During multilayer growth, nucleation usually takes place on top of terraces…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Claudio Castellano

We analyze the effect of interphase boundary anisotropy on the dynamics of lamellar eutectic solidification fronts, in the limit that the lamellar spacing varies slowly along the envelope of the front. In the isotropic case, it is known…

Materials Science · Physics 2021-01-05 Maxime Ignacio , Mathis Plapp

We develop a global bifurcation theory for two classes of nonlinear elastic materials. It is supposed that they are subjected to anti-plane shear deformation and occupy an infinite cylinder in the reference configuration. Curves of…

Analysis of PDEs · Mathematics 2021-01-21 Thomas Hogancamp

Linear-response quantum electrodynamical density functional theory (QEDFT) enables the description of molecular spectra under strong coupling to quantized photonic modes, such as those in optical cavities. Recently, this approach was…

Chemical Physics · Physics 2025-07-11 Lukas Konecny , Valeriia P. Kosheleva , Michael Ruggenthaler , Michal Repisky , Angel Rubio

We develop a stochastic approach for describing 3D-phase transformations ruled by time-dependent correlated nucleation at solid surfaces. The kinetics is expressed as a series of correlation functions and, at odds with modeling based on…

Statistical Mechanics · Physics 2018-09-26 M. Tomellini , S. Politi

The possibility of finding multistability in the density and current of an interacting nanoscale junction coupled to semi-infinite leads is studied at various levels of approximation. The system is driven out of equilibrium by an external…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 E. Khosravi , A. -M. Uimonen , A. Stan , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction…

Analysis of PDEs · Mathematics 2022-11-01 Rufat Badal , Manuel Friedrich , Joscha Seutter

The mechanisms of stability or instability in the strained alloy film growth are of intense current interest to both theorists and experimentalists. We consider dislocation-free, coherent, growing alloy films which could exhibit a…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

Recently, there has been a considerable progress on the issue of the thermodynamic second law, which is known as the law of entropy increase or irreversibility. In particular, a novel symmetry known as the Gallavotti-Cohen symmetry is found…

Statistical Mechanics · Physics 2018-08-01 Hyunggyu Park

Laser surface remelting of as-cast Al-Ge eutectic alloy is shown to produce ultrafine lamellar eutectic morphology with interlamellar spacing refined up to ~60 nm and composed of FCC Al solid solution and unusual AlxGey intermetallic phases…

Materials Science · Physics 2025-01-03 Arkajit Ghosh , Wenqian Wu , Tao Ma , Ashwin J. Shahani , Jian Wang , Amit Misra

In this paper we address some modelling issues related to biological growth. Our treatment is based on a recently-proposed, general formulation for growth within the context of Mixture Theory (Journal of the Mechanics and Physics of Solids,…

Tissues and Organs · Quantitative Biology 2011-11-09 H. Narayanan , E. M. Arruda , K. Grosh , K. Garikipati

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

We propose a unifying, analytical theory accounting for the self-organization of colloidal systems in nano- or micro-cluster phases. We predict the distribution of cluter sizes with respect to interaction parameters and colloid…

Soft Condensed Matter · Physics 2009-11-13 Nicolas Destainville , Lionel Foret

The preparation of two-dimensional transition metal dichalcogenides on an industrially relevant scale will rely heavily on bottom-up methods such as chemical vapour deposition. In order to obtain sufficiently large quantities of…

Materials Science · Physics 2022-08-18 E. Pollmann , A. Maas , D. Marnold , A. Hucht , R. Neubieser , M. Stief , L. Madauß , M. Schleberger

A theory is presented for a nonequilibrium phase transition in the two-dimensional Hubbard model coupled to electrodes. Nonequilibrium magnetic and superconducting phase diagram is determined by the Keldysh method, where the electron…

Strongly Correlated Electrons · Physics 2011-08-30 Takashi Oka , Hideo Aoki

A continuum dynamical model is developed to determine the morphological and compositional instabilities on the free surface of heteroepitaxial alloy films in the absence of growth. We use linear stability analysis to study the early…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Rashmi C. Desai

We consider a theory of quantum thermodynamics with multiple conserved quantities (or charges). To this end, we generalize the seminal results of Sparaciari et al. [PRA 96:052112, 2017] to the case of multiple, in general non-commuting…

The self-consistent rate theory for surface growth in the submonolayer regime is generalized from mono- to multi-component systems, which are formed by codeposition of different types of atoms or molecules. As a new feature, the theory…

Materials Science · Physics 2015-06-19 Mario Einax , Philipp Maass , Wolfgang Dieterich

In this paper I propose a new model for representing the formation energies of multicomponent crystalline alloys as a function of atom types. In the cases when displacements of atoms from their equilibrium positions are not large, the…

Computational Physics · Physics 2017-08-02 Alexander Shapeev