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Related papers: Theory of Microphase Separation in Elastomers

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We study the coarsening of strongly microphase separated membrane domains in the presence of recycling of material. We study the dynamics of the domain size distribution under both scale-free and size-dependent recycling. Closed form…

Subcellular Processes · Quantitative Biology 2018-05-11 S. Alex Rautu , G. Rowlands , M. S. Turner

The application of an external field often renders empirical criteria for identifying liquid-gas phase transitions ambiguous. Here, we demonstrate that the finite-size scaling of the density profile provides a definitive criterion to…

Statistical Mechanics · Physics 2025-10-28 Chong Zha , Yanshuang Chen , Cheng-Ran Du , Peng Tan , Yuliang Jin

We propose an extended kinematics of nominally elastic continuum solids allowing one to describe their mechanical interaction with micro-scale loading devices. The main new ingredient is the concept of a micro-displacement tensor which…

Soft Condensed Matter · Physics 2025-10-21 Giuseppe Zurlo , Lev Truskinovsky

The evolution of the contact zone between pure surfactant and solvent has been studied by mesoscale simulation. It is found that mesophase formation becomes diffusion controlled and follows the equilibrium phase diagram adiabatically almost…

Soft Condensed Matter · Physics 2009-11-07 P. Prinsen , P. B. Warren , M. A. J. Michels

When a polymer solution undergoes viscoelastic phase separation, the polymer-rich phase forms a network-like structure even if it is a minor phase. This unique feature is induced by polymer dynamics, which are constrained by the temporal…

Soft Condensed Matter · Physics 2021-03-31 Kenji Yoshimoto , Takashi Taniguchi

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

Liquid-liquid phase separation of liquids exhibiting interconversion between alternative states has been proposed as an underlying mechanism for fluid polyamorphism, and may be of relevance to protein function and intracellular…

Statistical Mechanics · Physics 2021-12-08 Betul Uralcan , Thomas J. Longo , Mikhail A. Anisimov , Frank H. Stillinger , Pablo G. Debenedetti

Phase separation plays an role in determining the self-assembly of biological and soft-matter systems. In biological systems, liquid-liquid phase separation inside a cell leads to the formation of various macromolecular aggregates. The…

Soft Condensed Matter · Physics 2024-03-26 Tanmay Biswas , Gerhard Kahl , Gaurav P. Shrivastav

We study dynamic heterogeneities in a model glass-former whose overlap with a reference configuration is constrained to a fixed value. The system phase-separates into regions of small and large overlap, so that dynamical correlations remain…

Disordered Systems and Neural Networks · Physics 2012-07-19 C. Cammarota , A. Cavagna , I. Giardina , G. Gradenigo , T. S. Grigera , G. Parisi , P. Verrocchio

To model mechanically-driven phase transformations using the phase-field theory, suitable models are needed for describing the mechanical fields related to individual phase-fields in the interfacial regions. They play a crucial role in…

Numerical Analysis · Mathematics 2025-09-22 Mohammad Sarhil , Oleg Shchyglo , Hesham Salama , Dominik Brands , Ingo Steinbach , Jörg Schröder

Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

Semicrystalline polymers (SCP) represent important class of materials used in many applications from packaging to transportation to electronics to pharmaceuticals. Understanding the structure and dynamics of the crystalline and amorphous…

Soft Condensed Matter · Physics 2025-04-28 Valeriy V. Ginzburg

Multiscale modelling is a new paradigm that has emerged in recent times to study the well-known problem of the process-structure-property relationship in the area of materials science and engineering. For obtaining the desired performance…

Materials Science · Physics 2023-10-10 Rupesh Chafle , Vishal Panwar , Kaushik Das , Somnath Bhowmick , Rajdip Mukherjee

We present a lattice model to study the equilibrium phase diagram of ordered alloys with one magnetic component that exhibits a low temperature phase separation between paramagnetic and ferromagnetic phases. The model is constructed from…

Materials Science · Physics 2009-11-07 Jordi Marcos , Eduard Vives , Teresa Castan

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surface energy term that depends in turn on the elastic…

Analysis of PDEs · Mathematics 2020-05-13 Diego Grandi , Martin Kružík , Edoardo Mainini , Ulisse Stefanelli

A general criterion for the existence of phase separation in driven one-dimensional systems is proposed. It is suggested that phase separation is related to the size dependence of the steady-state currents of domains in the system. A…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , E. Levine , D. Mukamel , G. M. Schutz , J. Torok

We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

Disordered Systems and Neural Networks · Physics 2016-08-14 Anaël Lemaître , Christiane Caroli

We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanishes much faster than the characteristic scale of the…

Analysis of PDEs · Mathematics 2026-05-14 Marin Bužančić , Igor Velčić , Josip Žubrinić

Microalloying elements tend to segregate to the matrix-precipitate phase boundaries to reduce the interfacial energy. The segregation mechanism is emerging as a novel design strategy for developing precipitation-hardened alloys with…

Materials Science · Physics 2022-01-11 Sourabh Bhagwan Kadambi , Srikanth Patala