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Related papers: Pattern formation during nonequilibrium crystalliz…

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Ductile metals undergo a considerable amount of plastic deformation before failure. Void nucleation, growth and coalescence is the mechanism of failure in such metals. {\alpha}/{\beta} titanium alloys are ductile in nature and are widely…

Materials Science · Physics 2020-02-12 Umair Bin Asim , M Amir Siddiq , Robert M McMeeking , Mehmet E Kartal

DNA-coated colloids can self-assemble into an incredible diversity of crystal structures, but applications of this technology are limited by poor understanding and control over the dynamical crystallization pathways. To address this…

Soft Condensed Matter · Physics 2021-06-01 Alexander Hensley , William M. Jacobs , W. Benjamin Rogers

This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of…

Materials Science · Physics 2024-04-16 Manas Vijay Upadhyay , Jorge Viñals

Classical theories of crystal nucleation and growth from the liquid assume activated processes that are interface limited, with the atoms individually joining the growing interface by jumps that occur at a rate that is determined by the…

Atomic Physics · Physics 2023-01-02 Fangzheng Chen , Zohar Nussinov , K. F. Kelton

This Article presents a nonequilibrium thermodynamic theory for the mean-field precipitation, aggregation and pattern formation of colloidal clusters. A variable gradient energy coefficient and the arrest of particle diffusion upon…

Soft Condensed Matter · Physics 2018-10-17 Thomas Petersen , Martin Z. Bazant , Roland J. M. Pellenq , Franz-Josef Ulm

A mesoscopic model is proposed to explain the anomalous dynamics in a supercooled liquid as its glass transition temperature is approached from above. The model is based on the assumption of $\beta$ organized $\alpha$ process, with the…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

The formation of self assembled structures such as micelles has been intensively studied and is well understood. The ability of a solution of amphiphilic molecules to develop micelles is depending on the concentration and characterized by…

Soft Condensed Matter · Physics 2019-05-13 Simon Raschke , Andreas Heuer

We present thermodynamic relationships between the free energy of the phase-field crystal (PFC) model and thermodynamic state variables for bulk phases under hydrostatic pressure. This relationship is derived based on the thermodynamic…

Materials Science · Physics 2015-02-09 Victor W. L. Chan , Nirand Pisutha-Arnond , Katsuyo Thornton

We determine the non-equilibrium grain size distribution during the crystallization of a solid in $d$ dimensions at fixed thermodynamic conditions, for the random nucleation and growth model, and in absence of grain coalescence. Two…

Materials Science · Physics 2013-10-25 Kimberly S. Lokovic , Ralf B. Bergmann , Andreas Bill

While biological crystallization processes have been studied on the microscale extensively, models addressing the mesoscale aspects of such phenomena are rare. In this work, we investigate whether the phase-field theory developed in…

Fluctuations in thermal many-particle systems reflect fundamental dynamical processes in both equilibrium and nonequilibrium (NEQ) physics. In NEQ systems \cite{ritort} fluctuations are important in a variety of contexts ranging from…

Statistical Mechanics · Physics 2012-01-17 Marco G. Mazza , Martin Schoen

The active Phase-Field-Crystal (aPFC) model combines elements of the Toner-Tu theory for self-propelled particles and the classical Phase-Field-Crystal (PFC) model that describes the transition between liquid to crystalline phases. In the…

Pattern Formation and Solitons · Physics 2021-02-25 Lukas Ophaus , Johannes Kirchner , Svetlana V. Gurevich , Uwe Thiele

Below the melting temperature $T_m$ crystals are the stable phase of typical elemental or molecular systems. However, cooling down a liquid below $T_m$, crystallization is anything but inevitable. The liquid can be supercooled, eventually…

Disordered Systems and Neural Networks · Physics 2017-03-07 M. Zanatta , L. Cormier , L. Hennet , C. Petrillo , F. Sacchetti

Gaining fundamental understanding of crystal nucleation processes in metal alloys is crucial for the development and design of high-performance materials with targeted properties. Yet, crystallization is a complex non-equilibrium process…

Materials Science · Physics 2022-12-09 Grisell Díaz Leines , Angelos Michaelides , Jutta Rogal

Phase field crystals (PFC) are a tool for simulating materials at the atomic level. They combine the small length-scale resolution of molecular dynamics (MD) with the ability to simulate dynamics on mesoscopic time scales. We show how PFC…

Materials Science · Physics 2015-05-13 P. F. Tupper , Martin Grant

Rapid solidification experiments on thin film aluminum samples reveal the presence of lattice orientation gradients within crystallizing grains. To study this phenomenon, a single-component phase-field crystal (PFC) model that captures the…

When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical…

Statistical Mechanics · Physics 2025-03-24 Fan Zhong

The metastable vapor-liquid coexistence of short-range attractive fluids hinders the formation of crystal nuclei, which in turn makes difficult the progress of the system towards its vapor-solid ground state. In this letter we show that…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Gerardo Odriozola , Felipe Jiménez-Ángeles , Pedro Orea

We report a metadynamics simulation study of crystallization in a deep undercooled metallic glass-forming liquid by developing appropriate collective variables. Through a combined analysis of free energy surface (FES) and atomic-level…

Disordered Systems and Neural Networks · Physics 2020-02-25 Wen-Xiong Song , Yong Yang , Weihua Wang , Pengfei Guan

We systematically study the relationship between equilibrium and non-equilibrium phase diagrams of a system of short-ranged attractive colloids. Using Monte Carlo and Brownian dynamics simulations we find a window of enhanced…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Eduardo Sanz , Marjolein Dijkstra