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We derive the nonlinear fractional surface wave equation that governs compression waves at an interface that is coupled to a viscous bulk medium. The fractional character of the differential equation comes from the fact that the effective…

Fluid Dynamics · Physics 2017-11-29 Julian Kappler , Shamit Shrivastava , Matthias F. Schneider , Roland R. Netz

Most of our current understanding of phase separation is based on ideas that disregard correlaions. Here we illuminate unexpected effects of correlations on the structure and thermodynamics of interfaces and in turn phase separation, which…

Statistical Mechanics · Physics 2024-03-15 Kristian Blom , Noah Ziethen , David Zwicker , Aljaž Godec

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

For harmonic-trapped atomic systems, we report system-independent non-adiabatic features in the response to interaction ramps. We provide results for several different systems in one, two, and three dimensions: bosonic and fermionic Hubbard…

Quantum Gases · Physics 2013-05-06 Masudul Haque , F. E. Zimmer

We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy induced by dislocations that compensate the lattice misfit…

Analysis of PDEs · Mathematics 2019-02-19 Silvio Fanzon , Mariapia Palombaro , Marcello Ponsiglione

The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity $v$, which increases as $v \sim (F-F_c)^\theta$ for…

Condensed Matter · Physics 2009-10-28 Heiko Leschhorn , Thomas Nattermann , Semjon Stepanow , Lei-Han Tang

We derive a formula, useful for first-principles calculations, which relates the free energy of an oxide/metal interface to the free energies of surfaces and the work of separation of the interface. We distinguish the latter {\it…

Materials Science · Physics 2007-05-23 Iskander G. Batirev , Ali Alavi , Michael W. Finnis

We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed by the usual compressible MHD equations, while in the vacuum region we…

Analysis of PDEs · Mathematics 2014-07-22 Davide Catania , Marcello D'Abbicco , Paolo Secchi

In signed networks with simultaneous friendly and hostile interactions, there is a general tendency to a global structural balance, based on the dynamical model of links status. Although the structural balance represents a state of the…

Physics and Society · Physics 2019-07-24 F. Rabbani , Amir H. Shirazi , G. R. Jafari

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We consider interface fluctuations on a two-dimensional layered lattice where the couplings follow a hierarchical sequence. This problem is equivalent to the diffusion process of a quantum particle in the presence of a one-dimensional…

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Ferenc Szalma

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , S. Meyer , M. Pütz

In this work, the relaxation process of the spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice has been investigated by a method which combines the statistical equilibrium theory and the…

Statistical Mechanics · Physics 2012-09-28 Erol Vatansever , Hamza Polat

We study a system of $N$ non-intersecting $(1+1)$-dimensional fluctuating elastic interfaces (`vicious bridges') at thermal equilibrium, each subject to periodic boundary condition in the longitudinal direction and in presence of a…

Statistical Mechanics · Physics 2015-05-13 Céline Nadal , Satya N. Majumdar

We study how the propagation speed of interfaces in the Allen-Cahn phase field model for phase transformations in solids consisting of the elasticity equations and the Allen-Cahn equation depends on two parameters of the model. The two…

Mathematical Physics · Physics 2017-04-04 Hans-Dieter Alber

An energy-based liquid-vapor interface detection method is presented using molecular dynamics (MD) simulations of liquid menisci confined between two parallel plates under equilibrium and evaporation/condensation conditions. This method…

Chemical Physics · Physics 2021-09-02 Mustafa Ozsipahi , Yigit Akkus , Chinh Thanh Nguyen , Ali Beskok

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, of negligible diameter, made up of two consecutive sections of different, isotropic and homogeneous materials. At the…

Analysis of PDEs · Mathematics 2021-09-10 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form…

Statistical Mechanics · Physics 2019-02-05 Fabio D. A. Aarao Reis , Olivier Pierre-Louis

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

Spectra of thermal fluctuations of a wide range of interfaces, from liquid/air, viscoelastic material/air, liquid/liquid, to liquid/viscoelastic material interfaces, were measured over 100 Hz to 10 MHz frequency range. The obtained spectra…

Soft Condensed Matter · Physics 2017-05-31 Kenichiro Aoki , Takahisa Mitsui