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Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

In this paper, we study the phase field models with fractional-order in time. The phase field models have been widely used to study coarsening dynamics of material systems with microstructures. It is known that phase field models are…

Numerical Analysis · Mathematics 2018-03-15 Lizhen Chen , Jia Zhao , Hong Wang

Surface structure of a restricted ballistic deposition(RBD) model is examined on a one-dimensional staircase with free boundary conditions. In this model, particles can be deposited only at the steps of the staircase. We set up recurrence…

Condensed Matter · Physics 2009-10-22 Hyunggyu Park , Meesoon Ha , In-mook Kim

Mixed order transitions are those which show a discontinuity of the order parameter as well as a divergent correlation length. We show that the behaviour of the order parameter correlation function along the transition line of mixed order…

Statistical Mechanics · Physics 2019-09-04 Mustansir Barma , Satya N. Majumdar , David Mukamel

Scaling of surface fluctuations of polycrystalline CdTe/Si(100) films grown by hot wall epitaxy are studied. The growth exponent of surface roughness and the dynamic exponent of the auto-correlation function in the mound growth regime agree…

Statistical Mechanics · Physics 2014-01-28 R. A. L. Almeida , S. O. Ferreira , T. J. Oliveira , F. D. A. Aarao Reis

Steady state dynamics of clustering, long range order, and inelastic collapse are experimentally observed in vertically shaken granular monolayers. At large vibration amplitudes, particle correlations show only short range order like…

Soft Condensed Matter · Physics 2009-10-31 J. S. Olafsen , J. S. Urbach

Growing attention has been drawn in the past years to the \alpha-phase (1/3 monolayer) of Sn on Ge(111), which undergoes a transition from the low temperature (3x3) phase to the room temperature (\sqrt3 x \sqrt3)R30 one. On the basis of…

Statistical Mechanics · Physics 2009-10-31 L. Floreano , D. Cvetko , G. Bavdek , M. Benes , A. Morgante

We study the fractional Langevin equation with fractional $\alpha$-order and linear friction terms of a system coupled to white and colored thermal baths using both analytical and numerical methods. We find analytical expressions for the…

Statistical Mechanics · Physics 2024-11-13 David Santiago Quevedo , Robin C. Verstraten , Cristiane Morais Smith

We study the thermally fluctuating state of a bi-layer cuprate superconductor under the periodic action of a staggered field oscillating at optical frequencies. This analysis distills essential elements of the recently discovered phenomenon…

Superconductivity · Physics 2015-03-13 R. Höppner , B. Zhu , T. Rexin , A. Cavalleri , L. Mathey

We study the phase-ordering dynamics of a quasi-classical Holstein model. At half-filling, the zero-temperature ground state is a commensurate charge-density-wave (CDW) with alternating occupied and empty sites. This quasi-classical…

Statistical Mechanics · Physics 2025-12-09 Ho Jang , Yang Yang , Gia-Wei Chern

We study effective actions for order parameter fluctuations at low temperature in layered d-wave superconductors such as the cuprates. The order parameter lives on the bonds of a square lattice and has two amplitude and two phase modes…

Superconductivity · Physics 2009-10-31 Arun Paramekanti , Mohit Randeria , T. V. Ramakrishnan , S. S. Mandal

A spin-glass system with a smooth or fractal outer surface is studied by renormalization-group theory, in bulk spatial dimension d=3. Independently varying the surface and bulk random-interaction strengths, phase diagrams are calculated.…

Disordered Systems and Neural Networks · Physics 2025-02-18 Yiğit Ertaç Pektaş , E. Can Artun , A. Nihat Berker

A stochastic PDE, describing mesoscopic fluctuations in systems of weakly interacting inertial particles of finite volume, is proposed and analysed in any finite dimension $d\in\mathbb{N}$. It is a regularised and inertial version of the…

Analysis of PDEs · Mathematics 2021-02-10 Federico Cornalba , Tony Shardlow , Johannes Zimmer

We derive generalized Fluctuation-Dissipation Relations (FDR) holding for a general stochastic dynamics that includes as subcases both equilibrium models for passive colloids and non-equilibrium models used to describe active particles. The…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini

We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to <111> and <200> reciprocal lattice vectors, which are…

Materials Science · Physics 2010-07-01 Kuo-An Wu , Ari Adland , Alain Karma

We investigate the phase behaviour of a two-dimensional colloidal model system of ultra-soft particles on a substrate which varies periodically along one spatial direction. Our calculations are based on mean-field density functional theory…

Soft Condensed Matter · Physics 2021-03-17 Alexander Kraft , Sabine H. L. Klapp

We discuss static fluctuations of the d-wave superconducting order parameter $\Delta$ in CuO$_2$ planes, due to quasiparticle scattering by charged dopants. The analysis of two-particle anomalous Green functions at $T = 0$ permits to…

Superconductivity · Physics 2009-11-10 V. M. Loktev , Yu. G. Pogorelov , V. M. Turkowski

Microcanonical Monte Carlo simulations of a polydisperse soft-spheres model for liquids and colloids have been performed for very large polydispersity, in the region where a phase-separation is known to occur when the system (or part of it)…

Soft Condensed Matter · Physics 2011-08-31 L. A. Fernandez , V. Martin-Mayor , B. Seoane , P. Verrocchio

In the absence of vortices or phase slips, the phase dynamics of exciton-polariton condensates was shown to map onto the Kardar-Parisi-Zhang (KPZ) equation, which describes the stochastic growth of a classical interface. This implies that…

Quantum Gases · Physics 2024-05-28 Félix Helluin , Léonie Canet , Anna Minguzzi

The temporal evolution of equilibrium fluctuations for surface steps of monoatomic height is analyzed studying one-dimensional solid-on-solid models. Using Monte Carlo simulations, fluctuations due to periphery-diffusion (PD) as well as due…

Statistical Mechanics · Physics 2014-07-31 Walter Selke
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