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We analyse features of the patterns formed from a simple model for a martensitic phase transition. This is a fragmentation model that can be encoded by a general branching random walk. An important quantity is the distribution of the…

Probability · Mathematics 2018-10-19 Pierluigi Cesana , Ben Hambly

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

The significance of thermal fluctuations on nucleation in structural first-order phase transitions has been examined. The prototype case of martensitic transitions has been experimentally investigated by means of acoustic emission…

Materials Science · Physics 2016-08-31 Francisco J. Perez-Reche , Eduard Vives , Lluis Manosa , Antoni Planes

Martensitic transformation in steels is responsible for their very high strength and has thus been studied for more than one century since the first works of Martens. However, there is not yet simple physical theory. A rigorous…

Materials Science · Physics 2013-08-20 Cyril Cayron

Using a modified Lennard-Jones model for anisotropic particles, we present results of molecular dynamics simulation in two dimensions. In one-component systems, we find crystallization, a Berezinskii-Kosterlitz-Thouless phase, and a…

Soft Condensed Matter · Physics 2011-12-23 Kyohei Takae , Akira Onuki

Molecular dynamics simulations are performed to investigate the structural phase transition in body-centered cubic (bcc) single crystal iron under high strain rate loading. We study the nucleation and growth of the hexagonal-close-packed…

Materials Science · Physics 2015-05-14 Baotian Wang , Jianli Shao , Guangcai Zhang , Weidong Li , Ping Zhang

The main goal of this paper is to understand the formation of hexagonal patterns from the dynamical transition theory point of view. We consider the transitions from a steady state of an abstract nonlinear dissipative system. To shed light…

Mathematical Physics · Physics 2020-08-26 Taylan Şengül

Bidirectional variants of stochastic many particle models for transport by molecular motors show a strong tendency to form macroscopic clusters on static lattices. Inspired by the fact that the microscopic tracks for molecular motors are…

Biological Physics · Physics 2013-05-29 M. Ebbinghaus , C. Appert-Rolland , L. Santen

We propose a framework to model elastic properties of polycrystals by coupling crystal orientational degrees of freedom with elastic strains. Our model encodes crystal symmetries and takes into account explicitly the strain compatibility…

Materials Science · Physics 2009-11-07 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

Cholesteric liquid crystals exhibit great morphological richness of static metastable states. Understanding the transitions between such states is key for the development of switchable devices. We show, using a quasi-one-dimensional model,…

Soft Condensed Matter · Physics 2022-08-17 Yucen Han , James Dalby , Benjamin MGD Carter , Apala Majumdar , Thomas Machon

Spin crossover frameworks and molecular crystals display fascinating collective behaviours. This includes multi-step transitions with hysteresis and a wide variety of long-range ordered patterns of high-spin and low-spin metal centres. From…

Strongly Correlated Electrons · Physics 2020-11-25 Jace Cruddas , B. J. Powell

The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic…

Soft Condensed Matter · Physics 2024-11-26 Tim Dullweber , Roman Belousov , Anna Erzberger

The succession of suggested mechanisms of solid-state phase transitions - Second-order, Lambda, Martensitic, Displacive, Topological, Order-Disorder, Soft-mode, Incommensurate, Scaling and Quantum - are analyzed and explained why they…

Materials Science · Physics 2013-12-30 Yuri Mnyukh

Crystal lattice deformations can be described microscopically by explicitly accounting for the position of atoms or macroscopically by continuum elasticity. In this work, we report on the description of continuous elastic fields derived…

Materials Science · Physics 2019-04-25 Marco Salvalaglio , Axel Voigt , Ken R. Elder

We report simulations on the homogeneous liquid-fcc nucleation of charged colloids for both low and high contact energy values. As a precursor for crystal formation, we observe increased local order at the position where the crystal will…

Soft Condensed Matter · Physics 2014-11-03 Kai Kratzer , Axel Arnold

The dynamic transition between the ordered flow and the plastic flow is studied for a two-dimensional driven vortex lattice, in the presence of sharp and dense pinning centers, from numerical simulations. For this system, which does not…

Superconductivity · Physics 2009-11-07 L. Fruchter

We discuss the interrelation between phase transitions in interacting lattice or continuum models, and the existence of infinite clusters in suitable random-graph models. In particular, we describe a random-geometric approach to the phase…

Probability · Mathematics 2007-05-23 H. -O. Georgii

The vortex lattice melting transition in single crystals Bi2Sr2CaCu2O8+d was studied by the in-plane resistivity measurements in magnetic fields tilted away from the c-axis to the ab-plane. In order to avoid the surface barrier effect which…

Superconductivity · Physics 2009-10-31 J. Mirkovic , S. E. Savel'ev , E. Sugahara , K. Kadowaki

We observe a structural phase transition between two configurations of a superradiant crystal by coupling a Bose-Einstein condensate to an optical cavity and applying imbalanced transverse pump fields. We find that this first order phase…

Materials with an allotropic phase transformation can result in the formation of microstructures where grains have orientation relationships (ORs) determined by the transformation history. These microstructures influence the final material…

Materials Science · Physics 2021-10-01 Ruth Birch , Thomas Benjamin Britton