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We consider an effective interface model on a hard wall in (1+1) dimensions, with conservation of the area between the interface and the wall. We prove that the equilibrium fluctuations of the height variable converge in law to the solution…

Probability · Mathematics 2007-11-06 Lorenzo Zambotti

We propose a locally adaptive non-hydrostatic model and apply it to wave propagation generated by a moving bottom. This model is based on the non-hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation,…

Numerical Analysis · Mathematics 2025-05-26 Kemal Firdaus , Jörn Behrens

The one--loop determinant computed around the kink solution in the 3D $\phi^4$ theory, in cylindrical geometry, allows one to obtain the partition function of the interface separating coexisting phases. The quantum fluctuations of the…

High Energy Physics - Theory · Physics 2016-09-06 Paolo Provero , Stefano Vinti

We consider the phase equilibria of a fluid confined in a deep capillary groove of width $L$ with identical side walls and a bottom made of a different material. All walls are completely wet by the liquid. Using density functional theory…

Soft Condensed Matter · Physics 2014-11-25 A. O. Parry , A. Malijevský , C. Rascón

This paper explores the similarity of the streamwise velocity fluctuations in a channel. In the analysis, we employ a one-dimensional scalar variant of the proper orthogonal decomposition (POD). This approach naturally motivates the…

Fluid Dynamics · Physics 2024-01-01 Christoffer Hansen , Jens N. Sørensen , Xiang I. A. Yang , Mahdi Abkar

We study charge excitation spectra in the two-dimensional $t$-$J$ model on a square lattice to explore a charge-order tendency recently found in electron-doped cuprates around the carrier density 0.15. The static susceptibility of $d$-wave…

Strongly Correlated Electrons · Physics 2015-09-30 Hiroyuki Yamase , Matías Bejas , Andrés Greco

The propagation of a dissipative solitary wave across an interface is studied in a binary complex plasma. The experiments were performed under microgravity conditions in the PK-3 Plus Laboratory on board the International Space Station…

We use the classical version of the density-functional theory in the weighted-density approximation to build up the entire phase diagram and the interface structure of a two-dimensional lattice-gas model which is known, from previous…

Statistical Mechanics · Physics 2011-10-25 S. Prestipino , P. V. Giaquinta

We study the phases of the 1+1 dimensional Non-Commutative Open String theory on a circle. We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge.…

High Energy Physics - Theory · Physics 2009-10-31 Vatche Sahakian

The problem of two-phase flow in straight capillaries of polygonal cross section displays many of the dynamic characteristics of rapid interfacial motions associated with pore-scale displacements in porous media. Fluid inertia is known to…

Fluid Dynamics · Physics 2018-07-03 Alexander Yelkhovsky , W. Val Pinczewski

In this supplementary paper we present some details on the solid-liquid interface detection, the deduction of the non-equilibrium free energy, the analysis of the granular temperature and energy per mode, a validation of the small slope…

Soft Condensed Matter · Physics 2013-04-10 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We analyze density-density correlations of expanding clouds of weakly interacting two-dimensional Bose gases below and above the Berezinskii-Kosterlitz-Thouless transition, with particular focus on short-time expansions. During…

Quantum Gases · Physics 2014-05-13 Vijay Pal Singh , Ludwig Mathey

The equal-time pairing correlation function of the two-dimensional t-J model on a square lattice is studied using a high-temperature expansion method. The sum of the pairing correlation, its spatial dependence, and the correlation length…

Strongly Correlated Electrons · Physics 2009-11-11 Takashi Koretsune , Masao Ogata

We study various properties of bosons in two dimensions interacting only via onsite hardcore repulsion. In particular, we use the lattice spin-wave approximation to calculate the ground state energy, the density, the condensate density and…

Superconductivity · Physics 2007-05-23 K. Bernardet , G. G. Batrouni , J. -L. Meunier , G. Schmid , M. Troyer , A. Dorneich

We study the local response to long wavelength fluctuations in cosmological $N$-body simulations, focusing on the matter and halo power spectra, halo abundance and non-linear transformations of the density field. The long wavelength mode is…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Tobias Baldauf , Uroš Seljak , Leonardo Senatore , Matias Zaldarriaga

Our understanding of both structure and dynamics of adsorbed liquids heavily relies on the capillary wave Hamiltonian, but a thorough test of this model is still lacking. Here we study the capillary wave fluctuations of a liquid film with…

Soft Condensed Matter · Physics 2013-09-06 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho

We consider the behavior of the OPE density $c(\Delta,\ell)$ for conformal four-point functions in the flat-space limit where all scaling dimensions become large. We find evidence that the density reduces to the partial waves $f_\ell(s)$ of…

High Energy Physics - Theory · Physics 2024-03-08 Balt C. van Rees , Xiang Zhao

The study of capillary wave scattering by a circular region with different interfacial properties from the rest of an otherwise homogeneous interface is motivated by experiments on wave attenuation at a monolayer covered air-water interface…

Condensed Matter · Physics 2016-08-31 T. Chou , S. K. Lucas , H. A. Stone

We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional…

Strongly Correlated Electrons · Physics 2008-12-10 Federico L. Bottesi , Guillermo R. Zemba

The dynamics of phase-separated interfaces shape the behavior of both passive and active condensates. While surface tension in equilibrium systems minimizes interface length, non-equilibrium fluxes can destabilize flat or constantly curved…

Soft Condensed Matter · Physics 2025-05-27 Florian Raßhofer , Simon Bauer , Alexander Ziepke , Ivan Maryshev , Erwin Frey
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