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We predict the structural interaction of crystalline solid-melt interfaces using amplitude equations which are derived from classical density functional theory or phase-field-crystal modeling. The solid ordering decays exponentially on the…

Materials Science · Physics 2015-06-12 Robert Spatschek , Ari Adland , Alain Karma

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional phase oscillator networks allow for their explicit analysis.…

Dynamical Systems · Mathematics 2024-04-18 Christian Bick , Bob Rink , Babette A. J. de Wolff

We study the long-range spatial correlations in the nonequilibrium steady state of a randomly driven granular fluid with the emphasis on obtaining the explicit form of the static structure factors. The presence of immobile particles…

Soft Condensed Matter · Physics 2013-09-04 M. Reza Shaebani , Jalal Sarabadani , Dietrich E. Wolf

We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constraints. We find that these correlations generate effective conduction channels for finite systems. At a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Wei Zhang , Sergio E. Ulloa

The rules of d-separation provide a framework for deriving conditional independence facts from model structure. However, this theory only applies to simple directed graphical models. We introduce relational d-separation, a theory for…

Artificial Intelligence · Computer Science 2013-04-16 Marc Maier , David Jensen

We study the entanglement between two coupled detectors, whose internal degrees of freedom are modeled by harmonic oscillators, interacting with a common quantum field, paying special attention to two less studied yet important features:…

Quantum Physics · Physics 2015-12-30 Jen-Tsung Hsiang , B. L. Hu

An technique is extended to estimate some critical exponents without using the expansion over the coupling constant. The data obtained is in a agreement with those found by help of the 2D Onsager method or with recent 3D results. In the…

Statistical Mechanics · Physics 2007-05-23 Andrei N. Yakunin

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

Using theories of phase ordering kinetics and of renormalization group, we derive analytically the relaxation times of the long wave-length fluctuations of a phase-separated domain boundary in the vicinity of (and below) the critical…

Statistical Mechanics · Physics 2022-06-29 Nicolas Destainville , Nelly Coulonges

Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice…

Statistical Mechanics · Physics 2013-09-17 Louk Rademaker , Yohanes Pramudya , Jan Zaanen , Vladimir Dobrosavljevic

We derive the effective potential for composite fields in a class of (quasi-) planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the…

Strongly Correlated Electrons · Physics 2009-11-10 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

Phase aberrations, despite degrading ultrasound images, also encode valuable information about the spatial distribution of the speed of sound in tissue. In pulse-echo ultrasound, we can quantify them by exploiting speckle correlations.…

Medical Physics · Physics 2025-11-20 Naiara Korta Martiartu , Michael Jaeger

We study survival and extinction of a long-range infection process on a diluted one-dimensional lattice in discrete time. The infection can spread to distant vertices according to a Pareto distribution, however spreading is also prohibited…

Probability · Mathematics 2023-10-19 Benedikt Jahnel , Anh Duc Vu

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Gunter M. Schutz

There is a growing interest, inspired by advances in technology, in the low temperature physics of thin films. These quasi-2D systems show a wide range of ordering effects including formation of striped states, reorientation transitions,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

The formation of binary correlations in plasma is studied from the quantum kinetic equation. It is shown that this formation is much faster than dissipation due to collisions. In a hot (dense) plasma the correlations are formed on the scale…

Plasma Physics · Physics 2009-10-31 K. Morawetz , V. Špička , P. Lipavský

In systems removed from equilibrium, intrinsic microscopic fluctuations become correlated over distances comparable to the characteristic macroscopic length over which the external constraint is exerted. In order to investigate this…

comp-gas · Physics 2009-10-28 Alberto Suarez , Jean Pierre Boon , Patrick Grosfils

We show that scale-scale correlations are a generic feature of slow-roll inflation theories. These correlations result from the long-time tails characteristic of the time dependent correlations because the long wavelength density…

Astrophysics · Physics 2009-10-31 Li-Zhi Fang , Wolung Lee , Jesús Pando

A simplified Ginzburg-Landau theory is presented to study generally a coupling of a first-order phase transition (FOPT) to a second-order phase transition (SOPT). We show analytically that, due to the coupling between the two phase…

Condensed Matter · Physics 2007-05-23 Fan Zhong

We study the dynamics of density fluctuations in purely diffusive systems away from equilibrium. Under some conditions the static density correlation function becomes long-ranged. We then analyze this behavior in the framework of…

Condensed Matter · Physics 2009-10-22 I. Pagonabarraga , M. Rubi