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Monte Carlo simulations are performed to study the properties of type-II superconducting films in a magnetic field in which the vortices move in the two-dimensional geometry represented by the surface of a sphere. No numerical evidence is…

Condensed Matter · Physics 2009-10-22 H. H. Lee , M. A. Moore

The system of mixed hexagonal and square lattices on a spherical surface is examined, with an emphasis on the exploration of the disclination patterns that form in the square-rich regime. To demonstrate the possible outcomes, the Hertzian…

Soft Condensed Matter · Physics 2025-09-09 Wenyu Liu , Han Xie , Yu Du , Baohui Li , Jeff Z. Y. Chen , Yao Li

A periodic surface is one that is invariant by a 2D lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes. Deformation modes that bend the lattice without stretching…

Differential Geometry · Mathematics 2024-08-29 Hussein Nassar

On microscopic scales, the crystallinity of flexible tethered or cross linked membranes determines their mechanical response. We show that by controlling the type, number and distribution of defects on a spherical elastic shell, it is…

Soft Condensed Matter · Physics 2013-06-12 Ee Hou Yong , David R. Nelson , L. Mahadevan

The adhesive contact between elastic solids with randomly rough, self affine fractal surfaces is studied by molecular dynamics (MD) simulations. The interfacial binding energy obtained from the simulations of nominally flat and curved…

Soft Condensed Matter · Physics 2011-12-23 N. Mulakaluri , B. N. J. Persson

Selective adsorption in a two-dimensional model of a binary hard-disk mixture on patterned adhesive surfaces is studied using grand canonical Monte Carlo simulations. The two species have equal diameters and equal bulk chemical potentials,…

Soft Condensed Matter · Physics 2026-05-21 Nazar Kukarkin , Taras Patsahan

The effect of surface roughness on the structure of liquid crystalline fluids near solid substrates is studied by Monte Carlo simulations. The liquid crystal is modelled as a fluid of soft ellipsoidal molecules and the substrate is modelled…

Soft Condensed Matter · Physics 2009-11-11 David Cheung , Friederike Schmid

Among many types of quantum entanglement properties, the entanglement spectrum provides more abundant information than other observables. Exact diagonalization and density matrix renormalization group method could handle the system in…

Strongly Correlated Electrons · Physics 2025-03-05 Weilun Jiang , Xiaofan Luo , Bin-Bin Mao , Zheng Yan

The investigation of freezing transitions of single polymers is computationally demanding, since surface effects dominate the nucleation process. In recent studies we have systematically shown that the freezing properties of flexible,…

Soft Condensed Matter · Physics 2012-07-18 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

Monte Carlo simulation provides a powerful tool for understanding and exploring thermodynamic phase equilibria in many-particle interacting systems. Among the most physically intuitive simulation methods is Gibbs ensemble Monte Carlo…

Statistical Mechanics · Physics 2015-06-12 Alan R. Denton , Michael P. Schmidt

The friction of a nanosized sphere in commensurate contact with a flat substrate is investigated by performing molecular dynamics simulations. Particular focus is on the distribution of shear stress within the contact region. It is noticed…

Materials Science · Physics 2020-09-28 Jian Wang , Weike Yuan , Jianjun Bian , Gangfeng Wang

We study the conformation and scaling properties of a self-avoiding fluid membrane, subject to an osmotic pressure $p$, by means of Monte Carlo simulations. Using finite size scaling methods in combination with a histogram reweighting…

Condensed Matter · Physics 2009-10-22 B. Dammann , H. C. Fogedby , J. H. Ipsen , C. Jeppesen

The behavior of an elastic curve bound to a surface will reflect the geometry of its environment. This may occur in an obvious way: the curve may deform freely along directions tangent to the surface, but not along the surface normal.…

Soft Condensed Matter · Physics 2014-08-18 Jemal Guven , Dulce María Valencia , Pablo Vázquez-Montejo

When a colloidal particle adheres to a fluid membrane, it induces elastic deformations in the membrane which oppose its own binding. The structural and energetic aspects of this balance are theoretically studied within the framework of a…

Soft Condensed Matter · Physics 2009-11-10 Markus Deserno

By mapping the hamiltonian of the spin one ferromagnet onto that of the classical spherical model we investigate the possible phase transitions and the phase diagram of the spin one ferromagnet. Similarly to what happens in the spherical…

Statistical Mechanics · Physics 2007-05-23 Sergey E. Savelev , G. Ramirez-Santiago

We investigate - with Monte Carlo computer simulations - the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids…

Soft Condensed Matter · Physics 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

We make for the first time a large-scale Monte-Carlo simulation of a ferromagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase…

Condensed Matter · Physics 2007-05-23 Fumitaka Matsubara , Junya Sasaki

There are three fundamental physical processes that gives rise to the morphology of a surface: deposition, surface diffusion and desorption. The characteristics of the interfaces generated by the combination of deposition and surface…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

Soft solids with surface energy exhibit complex mechanical behavior, necessitating advanced constitutive models to capture the interplay between bulk and surface mechanics. This interplay has profound implications for material design and…

Mathematical Physics · Physics 2025-12-12 Martin Horák , Michal Šmejkal , Martin Kružík

The evolution of the contact zone between pure surfactant and solvent has been studied by mesoscale simulation. It is found that mesophase formation becomes diffusion controlled and follows the equilibrium phase diagram adiabatically almost…

Soft Condensed Matter · Physics 2009-11-07 P. Prinsen , P. B. Warren , M. A. J. Michels