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We study a generalized Kardar-Parisi-Zhang (KPZ) equation [Jana et al., Phys. Rev. E 109, L032104 (2024)] that sets the paradigm for universality in roughening of growing nonequilibrium surfaces without any conservation laws but with…

统计力学 · 物理学 2025-07-29 Debayan Jana , Abhik Basu

Interplay between kinetic roughening and phase ordering is studied in a growth SOS model with two kinds of particles and Ising-like interaction by Monte Carlo simulations. We found that, for a sufficiently large coupling, growth is strongly…

材料科学 · 物理学 2009-10-31 M. Kotrla , M. Predota , F. Slanina

Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower.…

We show that stochastically driven nonequilibrium conserved growth models admit generic strong coupling phases for sufficiently strong nonlocal chemical potentials underlying the dynamics. The models exhibit generic roughening transitions…

统计力学 · 物理学 2025-11-19 Debayan Jana , Abhik Basu

A class of solid-on-solid growth models with short range interactions and sequential updates is studied. The models exhibit both smooth and rough phases in dimension d=1. Some of the features of the roughening transition which takes place…

统计力学 · 物理学 2009-10-30 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

Recent observations of the growth of protein crystals have identified two different growth regimes. At low supersaturation, the surface of the crystal is smooth and increasing in size due to the nucleation of steps at defects and the…

软凝聚态物质 · 物理学 2015-05-14 James F. Lutsko , Vasileios Basios , Gregoire Nicolis , John J. Kozak , Mike Sleutel , Dominique Maes

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

软凝聚态物质 · 物理学 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This…

凝聚态物理 · 物理学 2009-10-28 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

The ``crumpling" transition, between rigid and crumpled surfaces, has been object of much discussion over the past years. The common lore is that such transition should be of second order. However, some lattice versions of the rigidity term…

高能物理 - 格点 · 物理学 2009-10-22 M. Baig , D. Espriu

The existence of a crumpled phase for self-avoiding elastic surfaces was postulated more than three decades ago using simple Flory-like scaling arguments. Despite much effort, its stability in a microscopic environment has been the subject…

软凝聚态物质 · 物理学 2026-02-26 M. C. Gandikota , Shibananda Das , A. Cacciuto

We studied interplay between kinetic roughening and phase ordering in 1+1 dimensional single-step solid-on-solid growth model with two kinds of particles and Ising-like interaction. Evolution of both geometrical and compositional properties…

统计力学 · 物理学 2009-10-30 Miroslav Kotrla , Milan Predota

A theory for surface transitions in the presence of a disordered pinning potential is presented. Arbitrary disorder correlations are treated in the framework of a dynamical functional renormalization group. The roughening transition, where…

凝聚态物理 · 物理学 2009-10-28 Stefan Scheidl

Substrate disorder effects on the scaling properties of growing crystalline surfaces in solidification or epitaxial deposition processes are investigated. Within the harmonic approach there is a phase transition into a low-temperature…

凝聚态物理 · 物理学 2016-08-31 Yan-Chr Tsai , Yonathan Shapir

Motivated by a series of experiments that revealed a temperature dependence of the dynamic scaling regime of growing surfaces, we investigate theoretically how a nonequilibrium growth process reacts to a sudden change of system parameters.…

统计力学 · 物理学 2015-05-14 Yen-Liang Chou , Michel Pleimling , R. K. P. Zia

An intrinsic curvature model is investigated using the canonical Monte Carlo simulations on dynamically triangulated spherical surfaces of size upto N=4842 with two fixed-vertices separated by the distance 2L. We found a first-order…

统计力学 · 物理学 2009-11-11 S. Obata , M. Egashira , T. Endo , H. Koibuchi

Flat surface phases are unstable during growth and known to become rough. This does not exclude the possibility that surface reconstruction order persists in rough growing surfaces, in analogy with so-called equilibrium reconstructed rough…

统计力学 · 物理学 2007-05-23 Chen-Shan Chin , Marcel den Nijs

The morphology of a growing crystal surface is studied in the case of an unstable two-dimensional step flow. Competition between bunching and meandering of steps leads to a variety of patterns characterized by their respective instability…

统计力学 · 物理学 2012-07-19 A. Verga

We simulate a growth model with restricted surface relaxation process in d=1 and d=2, where d is the dimensionality of a flat substrate. In this model, each particle can relax on the surface to a local minimum, as the Edwards-Wilkinson…

统计力学 · 物理学 2009-11-07 T. J. da Silva , J. G. Moreira

We found that the order for the crumpling transition of an intrinsic curvature model changes depending on the distance between two boundary vertices fixed on the surface of spherical topology. The model is a curvature one governed by an…

统计力学 · 物理学 2007-05-23 H. Koibuchi

Polymerized phantom membranes are revisited using a nonperturbative renormalization group approach. This allows one to investigate both the crumpling transition and the low-temperature, flat, phase in any internal dimension D and embedding…

统计力学 · 物理学 2009-11-13 J. -P. Kownacki , D. Mouhanna
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