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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…

Statistical Mechanics · Physics 2007-05-23 H. Koibuchi

For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a…

Soft Condensed Matter · Physics 2020-08-10 Jack O. Law , Jacob M. Dean , Mark A. Miller , Halim Kusumaatmaja

The dynamics of the discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is investigated by Monte Carlo simulations. The mobility of the growing surface was studied as a function of a small driving force…

Condensed Matter · Physics 2009-10-28 D. Cule

We study a surface model with a self-avoiding (SA) interaction using the canonical Monte Carlo simulation technique on fixed-connectivity (FC) triangulated lattices of sphere topology. The model is defined by an area energy, a deficit angle…

Statistical Mechanics · Physics 2010-12-09 Hiroshi Koibuchi

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

Monte Carlo simulation based on Metropolis algorithm has been used with a great success to analyze the dynamic phase transition properties of a single spherical core-shell nanoparticle system with a spin-3/2 core surrounded by a spin-1…

Statistical Mechanics · Physics 2015-06-15 Erol Vatansever , Hamza Polat

We use Monte Carlo simulation to study the phase diagram of three-dimensional dynamical triangulations with a boundary. Three phases are indentified and characterized. One of these phases is a new, boundary dominated phase; a simple…

High Energy Physics - Lattice · Physics 2009-10-31 Simeon Warner , Simon Catterall , Ray Renken

A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\beta_2$), axial hexadecapole ($\beta_4$) and triaxial ($\gamma_2$). The…

Nuclear Theory · Physics 2015-05-14 P. Van Isacker , A. Bouldjedri , S. Zerguine

The deformation of an elastic micro-capsule in an infinite shear flow is studied numerically using a spectral method. The shape of the capsule and the hydrodynamic flow field are expanded into smooth basis functions. Analytic expressions…

Soft Condensed Matter · Physics 2008-09-03 S. Kessler , R. Finken , U. Seifert

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

Strongly Correlated Electrons · Physics 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

We show a numerical evidence that a tethered surface model with extrinsic curvature undergoes a first-order crumpling transition between the smooth phase and a non-smooth phase on triangulated tori. The results obtained in this Letter…

Statistical Mechanics · Physics 2009-11-11 H. Koibuchi

We theoretically study the elastic deformation of a fluid membrane induced by an adhering spherical colloidal particle within the framework of a Helfrich energy. Based on a full optimization of the membrane shape we find a continuous…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Thomas Bickel

The shape assumed by a slender elastic structure is a function both of the geometry of the space in which it exists and the forces it experiences. We explore by experiments and theoretical analysis, the morphological phase-space of a…

Soft Condensed Matter · Physics 2023-12-11 S Ganga Prasath , Joel Marthelot , Rama Govindarajan , Narayanan Menon

We investigate the crumpling transition for a dynamically triangulated random surface embedded in two dimensions using an effective model in which the disordering effect of the $X$ variables on the correlations of the normals is replaced by…

High Energy Physics - Lattice · Physics 2009-10-22 C. F. Baillie , D. A. Johnston

We propose and study a model for the equilibrium statistical mechanics of a pressurised semiflexible polymer ring. The Hamiltonian has a term which couples to the algebraic area of the ring and a term which accounts for bending…

Statistical Mechanics · Physics 2009-11-13 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

We introduce a novel model, comprising self-avoiding surfaces and incorporating edges and tubules, that is designed to characterize the structural morphologies and transitions observed within the endoplasmic reticulum (ER). By employing…

Soft Condensed Matter · Physics 2024-04-09 Jaya Kumar Alageshan , Yashodhan Hatwalne , Rahul Pandit

The nature of freezing and melting transitions for a system of model colloids interacting by a DLVO potential in a spatially periodic external potential is studied using extensive Monte Carlo simulations. Detailed finite size scaling…

Statistical Mechanics · Physics 2009-11-07 W. Strepp , S. Sengupta , P. Nielaba

We derive a Kinetic Monte Carlo model for studying how contacts form between confined surfaces in an ideal solution. The model incorporates repulsive and attractive surface-surface forces between a periodic (2+1)-dimensional solid-on-solid…

Soft Condensed Matter · Physics 2020-06-04 Jørgen Høgberget , Anja Røyne , Dag K. Dysthe , Espen Jettestuen

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann