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Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

Advances in high-precision dielectric spectroscopy has enabled access to non-linear susceptibilities of polar molecular liquids. The observed non-monotonic behavior has been claimed to provide strong support for theories of dynamic arrest…

Soft Condensed Matter · Physics 2021-07-07 Thomas Speck

We perform molecular-dynamics simulations of a molecular system in supercooled states for different values of inertia parameters to provide evidence that the long-time dynamics depends only on the equilibrium structure. This observation is…

Soft Condensed Matter · Physics 2009-11-10 S. -H. Chong , F. Sciortino

We use computer simulations to study the cooling rate dependence of the stability and energetics of model glasses created at constant pressure conditions and compare the results with glasses formed at constant volume conditions. To examine…

Soft Condensed Matter · Physics 2016-12-21 Hannah Staley , Elijah Flenner , Grzegorz Szamel

We study a thermo-poroelasticity model which describes the interaction between the deformation of an elastic porous material and fluid flow under non-isothermal conditions. The model involves several parameters that can vary significantly…

Numerical Analysis · Mathematics 2025-12-24 Mingchao Cai , Miroslav Kuchta , Jingzhi Li , Ziliang Li , Kent-Andre Mardal

Using concepts from classical density functional theory (DFT) we investigate the freezing of a two-dimensional (2D) system of ultra-soft particles in a one-dimensional (1D) external potential; a phenomenon often called laser-induced…

Soft Condensed Matter · Physics 2020-02-05 Alexander Kraft , Sabine H. L. Klapp

The transition of a fluid to a rigid glass upon cooling is a common route of transformation from liquid to solid that embodies the most poorly understood features of both phases1,2,3. From the liquid perspective, the puzzle is to understand…

Soft Condensed Matter · Physics 2009-01-23 Asaph Widmer-Cooper , Heidi Perry , Peter Harrowell , David R. Reichman

We show that the vibrational response of a glassy liquid at finite frequencies can be described by continuum mechanics despite the vast degeneracy of the vibrational ground state; standard continuum elasticity assumes a unique ground state.…

Disordered Systems and Neural Networks · Physics 2015-06-23 Dmytro Bevzenko , Vassiliy Lubchenko

A dynamic linear thermo-poroelasticity model, containing inertial and relaxation terms with second-order time derivatives, is investigated in this paper. The mathematical and numerical analysis of this model is performed in the frequency…

Numerical Analysis · Mathematics 2025-11-25 Hongpeng Li , Cristian Carcamo , Hongxing Rui , Volker John

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a…

Analysis of PDEs · Mathematics 2015-02-03 Mamadou Diagne , Peipei Shang , Zhiqiang Wang

Phase equilibria between regions of different thickness in thin liquid films stabilized by colloidal particles are investigated using a quasi-two-dimensional thermodynamic formalism. Appropriate equilibrium conditions for the film tension,…

Soft Condensed Matter · Physics 2009-11-11 J. Blawzdziewicz , E. Wajnryb

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

Soft Condensed Matter · Physics 2007-05-23 M. D. Shattuck

We simulate the compression of a two-component Lennard-Jones liquid at a variety of constant temperatures using a molecular dynamics algorithm in an isobaric-isothermal ensemble. The viscosity of the liquid increases with pressure,…

chem-ph · Physics 2009-10-22 Shelly L. Shumway , Andrew S. Clarke , Hannes Jónsson

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

In this study, identical experiments of bottom-cooled solidification fluidic mixtures that exhibit faceted and dendritic microstructures were performed. The strength of compositional convection was correlated with the solidifying…

Soft Condensed Matter · Physics 2020-10-05 Virkeshwar Kumar , G. S. Abhishek , Atul Srivastava , Shyamprasad Karagadde

We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a non-linear flexible shell. The fluid is described by the full Navier--Stokes--Fourier system. The shell constitutes an unknown part of the…

Analysis of PDEs · Mathematics 2021-11-18 Dominic Breit , Sebastian Schwarzacher

In this paper we consider an exactly solvable model which displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated to different…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , F. Ritort

We simulate solidification in a narrow channel through the use of a phase-field model with an adaptive grid. In different regimes, we find that the solid can grow in fingerlike steady-state shapes, or become unstable, exhibiting unsteady…

Materials Science · Physics 2007-05-23 Mohsen Sabouri-Ghomi , Nikolas Provatas , Martin Grant

We investigate numerically the finite-size scaling properties of the domain wall energies in the three-dimensional gauge glass model. From the analysis of results obtained for systems of linear sizes $3\le L\le 8$ we conclude that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Maucourt , D. R. Grempel

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
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