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The recently developed Perturbed-Chain Statistical Associating Fluid Theory (PC-SAFT) is investigated for a wide range of model parameters including the parameter m representing the chain length and the thermodynamic temperature T and…

Soft Condensed Matter · Physics 2009-11-11 L. Yelash , M. Mueller , W. Paul , K. Binder

Accurately modeling and predicting complex dynamical systems, particularly those involving force exchange and dissipation, is crucial for applications ranging from fluid dynamics to robotics, but presents significant challenges due to the…

Robotics · Computer Science 2025-06-24 Andrea Testa , Søren Hauberg , Tamim Asfour , Leonel Rozo

We study the phase diagram and finite temperature properties of an integrable generalization of the one-dimensional super-symmetric t-J model containing interactions explicitly breaking parity-time reversal (PT) symmetries. To this purpose,…

Statistical Mechanics · Physics 2017-08-08 T. S. Tavares , G. A. P. Ribeiro

In this paper a general multi-phase-field model is presented which is an extension and modification of the model proposed by Folch and Plapp for three phase fields [R. Folch and M. Plapp, Phys. Rev. E 72 011602 (2005)] to the arbitrary…

Materials Science · Physics 2013-06-07 E. Pogorelov , J. Kundin , H. Emmerich

The favored phase field method (PFM) has encountered challenges in the finite strain fracture modeling of nearly or truly incompressible hyperelastic materials. We identified that the underlying cause lies in the innate contradiction…

Numerical Analysis · Mathematics 2022-05-04 Fucheng Tian , Jun Zeng , Mengnan Zhang , Liangbin Li

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

Materials Science · Physics 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

The multi-phase-field approach is generalized to treat capillarity-driven diffusion parallel to the surfaces and phase-boundaries, i.e. the boundaries between a condensed phase and its vapor and the boundaries between two or multiple…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Raphael Schiedung , Reza Darvishi Kamachali , Ingo Steinbach , Fathollah Varnik

In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General Navier Boundary Condition is developed based on the concept…

Numerical Analysis · Mathematics 2020-01-29 Lingyue Shen , Huaxiong Huang , Ping Lin , Zilong Song , Shixin Xu

A mean-field density-functional model for three-phase equilibria in fluids (or other soft condensed matter) with two spatially varying densities is analyzed analytically and numerically. The interfacial tension between any two out of three…

Statistical Mechanics · Physics 2019-08-14 Kenichiro Koga , Joseph O. Indekeu

Using contact geometry we give a new characterization of a simple but important class of thermodynamical systems which naturally satisfy the first law of thermodynamics (total energy preservation) and the second law (increase of entropy).…

A parameterization strategy for molecular models on the basis of force fields is proposed, which allows a rapid development of models for small molecules by using results from quantum mechanical (QM) ab initio calculations and thermodynamic…

Chemical Physics · Physics 2009-04-22 Bernhard Eckl , Jadran Vrabec , Hans Hasse

Measuring the mechanical response of liquid interfaces without direct contact remains a major experimental challenge, particularly in liquid-liquid systems where no solid reference exists. Here, we develop a frequency-modulation atomic…

Soft Condensed Matter · Physics 2026-05-29 Lucie Corral , Christian Curtil , Medhi Lagaize , Marc Leonetti , Hubert R. Klein

We investigate generalized potentials for a mean-field density functional theory of a three-phase contact line. Compared to the symmetrical potential introduced in our previous article [1], the three minima of these potentials form a small…

Statistical Mechanics · Physics 2013-02-12 Chang-You Lin , Michael Widom , Robert F. Sekerka

We investigate bulk thermodynamic and microscopic structural properties of amorphous solids in the framework of the phase-field crystal (PFC) model. These are metastable states with a non-uniform density distribution having no long-range…

Soft Condensed Matter · Physics 2024-09-11 Shaho Abdalla , Andrew J. Archer , László Gránásy , Gyula I. Tóth

We self-consistently derive a formalism that couples a Phase Field Crystal (PFC) density field to thermal transport. It yields a theory for non-uniform transient temperature and density evolution, and includes local latent heat release…

Atomic and Molecular Clusters · Physics 2019-05-22 Gabriel Kocher , Nikolas Provatas

This paper introduces a new structural phase field crystal (PFC) type model that expands the PFC methodology to a wider class of structurally complex crystal structures than previously possible. Specifically, our new approach allows for…

Materials Science · Physics 2016-02-03 Matthew Seymour , Nikolas Provatas

In this study we present a compressible test-field method (CTFM) for computing $\alpha$ effect and turbulent magnetic diffusivity tensors, as well as those relevant for mean ponderomotive force and mass source, applied to the full MHD…

Fluid Dynamics · Physics 2022-06-15 Maarit J. Käpylä , Matthias Rheinhardt , Axel Brandenburg

Peridynamics formulates the balance of linear momentum as an integro-differential equation, making it naturally suited for fracture modeling without special treatment of discontinuities. The bond-associated correspondence formulation…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Kai Partmann , Christian Wieners , Michael Ortiz , Kerstin Weinberg

While obtaining theoretical predictions for dissipation during sliding motion is a difficult task, one regime that allows for analytical results is the so-called noncontact regime, where a probe is weakly interacting with the surface over…

Materials Science · Physics 2021-12-08 Miru Lee , Richard L. C. Vink , Cynthia A. Volkert , Matthias Krüger

Phase-field modeling -- a continuous approach to discontinuities -- is gaining popularity for simulating rock fractures due to its ability to handle complex, discontinuous geometry without an explicit surface tracking algorithm. None of the…

Geophysics · Physics 2022-11-24 Fan Fei , Jinhyun Choo , Chong Liu , Joshua A. White