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Related papers: Thermo-Density Coupling in PFC Type Models for the…

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Material properties controlled by evolving defect structures, such as mechanical response, often involve processes spanning many length and time scales which cannot be modeled using a single approach. We present a variety of new results…

Materials Science · Physics 2015-06-19 Joel Berry , Nikolas Provatas , Jörg Rottler , Chad W. Sinclair

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. The goals of this paper are to characterize the behavior of…

Statistical Mechanics · Physics 2009-11-13 Chase E. Zachary , Frank H. Stillinger , Salvatore Torquato

We compare predictions from two familiar models of the metastable supercooled liquid respectively constructed with thermodynamic and dynamic approach. In the so called density functional theory (DFT) the free energy $F[\rho]$ of the liquid…

Statistical Mechanics · Physics 2016-04-20 Leishangthem Premkumar , Neeta Bidhoodi , Shankar P. Das

Thermal transport properties of amorphous carbon has attracted increasing attention due to its extreme thermal properties: It has been reported to have among the highest thermal conductivity for bulk amorphous solids up to $\sim$ 37…

Disordered Systems and Neural Networks · Physics 2024-05-14 Jaeyun Moon , Zhiting Tian

We investigate the thermal radiation and thermal near-field energy density of a metal-coated semi-infinite body for different substrates. We show that the surface polariton coupling within the metal coating leads to an enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Svend-Age Biehs

The anisotropic phase-field crystal model recently proposed and used by Prieler et al. [J. Phys.: Condens. Matter 21, 464110 (2009)] is derived from microscopic density functional theory for anisotropic particles with fixed orientation.…

Materials Science · Physics 2015-05-27 Muhammad Ajmal Choudhary , Daming Li , Heike Emmerich , Hartmut Löwen

The conserved Swift-Hohenberg equation (or Phase-Field-Crystal [PFC] model) provides a simple microscopic description of the thermodynamic transition between fluid and crystalline states. Combining it with elements of the Toner-Tu theory…

Pattern Formation and Solitons · Physics 2018-09-18 Lukas Ophaus , Svetlana V. Gurevich , Uwe Thiele

In materials science the phase field crystal approach has become popular to model crystallization processes. Phase field crystal models are in essence Landau-Ginzburg-type models, which should be derivable from the underlying microscopic…

Soft Condensed Matter · Physics 2013-05-30 M. Oettel , S. Dorosz , M. Berghoff , B. Nestler , T. Schilling

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

Soft Condensed Matter · Physics 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

The phase field crystal (PFC) approach extends the notion of phase field models by describing the topology of the microscopic structure of a crystalline material. One of the consequences is that local variation of the interatomic distance…

Materials Science · Physics 2016-05-18 V. Heinonen , C. V. Achim , T. Ala-Nissila

We present a simple density functional theory for the solid phases of systems of particles interacting via soft-core potentials. In particular, we apply the theory to particles interacting via repulsive point Yukawa and Gaussian pair…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

Despite decades of intense study, the mechanisms underlying the extraordinary dynamics of supercooled liquids as they approach the glass transition remain, at best, mis-characterized, and at worst, misunderstood. A long standing endeavor is…

Disordered Systems and Neural Networks · Physics 2017-01-04 Nicholas B. Weingartner , Chris Pueblo , K. F. Kelton , Zohar Nussinov

We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive…

Materials Science · Physics 2009-11-11 Peter Stefanovic , Mikko Haataja , Nikolas Provatas

A nonlocal phase-field crystal (NPFC) model is presented as a nonlocal counterpart of the local phase-field crystal (LPFC) model and a special case of the structural PFC (XPFC) derived from classical field theory for crystal growth and…

Numerical Analysis · Mathematics 2026-05-20 Qiang Du , Kai Wang , Jiang Yang

This paper studies the thermo-poroelasticity model. By introducing an intermediate variable, we transform the original three-field model into a four-field model. Building upon this four-field model, we present both a coupled finite element…

Numerical Analysis · Mathematics 2025-07-23 Mingchao Cai , Jingzhi Li , Ziliang Li , Qiang Liu

We derive a phase field crystal model that couples the diffusive evolution of a microscopic structure with the fast dynamics of a macroscopic velocity field, explicitly accounting for the relaxation of elastic excitations. This model…

Materials Science · Physics 2022-10-26 Vidar Skogvoll , Marco Salvalaglio , Luiza Angheluta

Conventional phase-field models often drive solid-solid interfaces to coalesce when in close proximity. This feature limits their use for processes like diffusion bonding, where the interfaces might need to remain distinct under certain…

Materials Science · Physics 2026-02-20 Maryam Khodadad , Noel Walkington , Suresh Kalyanam , Matteo Pozzi , Kaushik Dayal

We present a coupled cluster and linear response theory to compute properties of many-electron systems at non-zero temperatures. For this purpose, we make use of the thermofield dynamics, which allows for a compact wavefunction…

Chemical Physics · Physics 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria