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We have performed a detailed Monte Carlo study of a diffusionless $(1+1)$-dimensional solid-on-solid model of particle deposition and evaporation that not only tunes the roughness of an equilibrium surface but also demonstrates the need for…

Statistical Mechanics · Physics 2008-05-20 S. L. Narasimhan , A. Baumgaertner

For thermally fluctuating 2-d systems, like solid surfaces, time and space correlation of the local surface height diverge logarithmically in the rough phase, whereas saturation is obtained below the roughening transition. A 2-d Langevin…

Statistical Mechanics · Physics 2009-11-10 E. Le Goff , L. Barbier , B. Salanon

The effect of the surface coupling $J_s$ on the dependency of the layering transition temperature $T_L$ as a function of the thickness $N$, of a spin-1/2 Ising film, is studied using the mean field theory. It is found that for $J_s$ greater…

Soft Condensed Matter · Physics 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

We provide a complete description of the low temperature wetting transition for the two dimensional Solid-On-Solid model. More precisely we study the integer-valued field $(\phi(x))_{x\in \mathbb Z^2}$, associated associated to the energy…

Mathematical Physics · Physics 2018-07-04 Hubert Lacoin

We study the thermally activated oscillations, or capillary waves, of a neutral metal cluster within the liquid drop model. These deformations correspond to a surface roughness which we characterize by a single parameter $\Delta$. We derive…

Condensed Matter · Physics 2009-10-30 N. Pavloff , C. Schmit

There exists a large body of previous work using reduced two-dimensional models of the SOL, which model fluctuations in the drift-plane but approximate parallel transport with effective loss terms. Full size three-dimensional simulations of…

Plasma Physics · Physics 2022-07-27 T. E. G. Nicholas , J. Omotani , F. Riva , F. Militello , B. Dudson

This study presents an experimental dataset documenting the evolution of a turbulent boundary layer downstream of a rough-to-smooth surface transition. To investigate the effect of upstream flow conditions, two groups of experiments are…

We show from numerical simulations that a limited mobility solid-on-solid model of kinetically rough surface growth exhibits extended self-similarity analogous to that found in fluid turbulence. The range over which scale-independent…

Statistical Mechanics · Physics 2009-10-30 Arindam Kundagrami , Chandan Dasgupta , P. Punyindu , S. Das Sarma

Monte Carlo or Molecular Dynamics calculations of surfaces of Lennard-Jones systems often indicate, apart from a gradual disordering of the surface called surface melting, the presence of a phase transition at the surface, but cannot…

Condensed Matter · Physics 2009-10-28 Paul J. M. Bastiaansen , Hubert J. F. Knops

We study the scaling properties of self-flattening surfaces under global suppression on surface fluctuations. Evolution of self-flattening surfaces is described by restricted solid-on-solid type monomer deposition-evaporation model with…

Statistical Mechanics · Physics 2009-11-07 Yup Kim , S. Y. Yoon , Hyunggyu Park

We study a $d=2$ discrete solid--on--solid model of complete wetting of a rough substrate with random self--affine boundary, having roughness exponent $\zeta_s$. A suitable transfer matrix approach allows to discuss adsorption isotherms, as…

Condensed Matter · Physics 2009-10-22 G. Giugliarelli , A. L. Stella

Using statistical field theory supplemented with molecular dynamics simulations, we consider premelting on the surface of ice as a generic consequence of broken hydrogen bonds at the boundary between the condensed and gaseous phases. A…

Statistical Mechanics · Physics 2015-06-22 David T. Limmer , David Chandler

We present a comprehensive analysis of a linear growth model, which combines the characteristic features of the Edwards--Wilkinson and noisy Mullins equations. This model can be derived from microscopics and it describes the relaxation and…

Condensed Matter · Physics 2009-10-28 S. Majaniemi , T. Ala--Nissila , J. Krug

We investigate the kinetic roughening of Ar$^+$ ion-sputtered Pd(001) surface both experimentally and theoretically. \textit{In situ} real-time x-ray reflectivity and \textit{in situ} scanning tunneling microscopy show that nanoscale adatom…

Statistical Mechanics · Physics 2009-11-10 T. C. Kim , C. -M. Ghim , H. J. Kim , D. H. Kim , D. Y. Noh , N. D. Kim , J. W. Chung , J. S. Yang , Y. J. Chang , T. W. Noh , B. Kahng , J. -S. Kim

Most realistic, off-lattice surface simulations are done canonically--- conserving particles. For some applications, however, such as studying the thermal behavior of rare gas solid surfaces, these constitute bad working conditions. Surface…

Materials Science · Physics 2009-10-30 Franck Celestini , Daniele Passerone , Furio Ercolessi , Erio Tosatti

Fluctuations of isolated and pairs of ascending steps of monoatomic height are studied in the framework of SOS models, using mainly Monte Carlo techniques. Below the roughening transistion of the surface, the profiles of long steps show the…

Statistical Mechanics · Physics 2009-11-07 W. Selke , F. Szalma , J. S. Hager

Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

Statistical Mechanics · Physics 2014-09-09 Adam P. Willard , David Chandler

The discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is studied by Monte Carlo simulations. A continuous transition is found from a phase with a thermally-induced roughness to a glassy one in which…

Condensed Matter · Physics 2009-10-22 D. Cule , Y. Shapir

We calculate the low-temperature series of the free energy in absolute-value solid-on-solid (ASOS) model to order $u^{23}$ using finite-lattice method. The property of the obtained series and the behavior of their Pad\'e approximants…

High Energy Physics - Lattice · Physics 2009-10-28 H. Arisue

The well-known thermal capillary wave theory, which describes the capillary spectrum of the free surface of a liquid film, does not reveal the transient dynamics of surface waves, e.g., the process through which a smooth surface becomes…

Fluid Dynamics · Physics 2021-09-17 Yixin Zhang , James E. Sprittles , Duncan A. Lockerby