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We propose and solve a simple model describing secondary structure formation in random hetero-polymers. It describes monomers with a combination of one-dimensional short-range interactions (representing steric forces and hydrogen bonds) and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. S. Skantzos , J. van Mourik , A. C. C. Coolen

The kinetics of bimolecular reactions in solution depends, among other factors, on intermolecular forces such as steric repulsion or electrostatic interaction. Microscopically, a pair of molecules first has to meet by diffusion before the…

Soft Condensed Matter · Physics 2019-10-24 Manuel Dibak , Christoph Fröhner , Frank Noé , Felix Höfling

Triangular lattice models for pattern formation by hard-core soft-shell particles at interfaces are introduced and studied in order to determine the effect of the shell thickness and structure. In model I, we consider particles with…

Soft Condensed Matter · Physics 2020-08-26 V. S. Grishina , V. S. Vikhrenko , A. Ciach

Reactions at a strongly segregated interface of a symmetric binary polymer blend are investigated via Monte Carlo simulations. End functionalized homopolymers of different species interact at the interface instantaneously and irreversibly…

Statistical Mechanics · Physics 2009-10-30 Marcus Mueller

We calculate the ground-state properties of fermionic dipolar atoms or molecules in a one-dimensional double-tube potential by using the Luttinger liquid theory and the density matrix renormalization-group calculation. When the external…

Strongly Correlated Electrons · Physics 2009-06-02 Chi-Ming Chang , Wei-Chao Shen , Chen-Yen Lai , Pochung Chen , Daw-Wei Wang

We present a lattice Monte Carlo algorithm based on the one originally proposed by Maggs and Rossetto for simulating electrostatic interactions in inhomogeneous dielectric media. The original algorithm is known to produce attractive…

Soft Condensed Matter · Physics 2017-05-12 Xiaozheng Duan , Issei Nakamura , Zhen-Gang Wang

In solution, electrically like-charged particles can experience a strong and long-ranged attraction that leads to the formation of stable, slowly reorganizing clusters. The attractive force underpinning this spontaneous organization process…

Soft Condensed Matter · Physics 2026-01-14 Sida Wang , Angela Le , Rowan Walker-Gibbons , Madhavi Krishnan

We derive a novel formulation for the interaction potential between deformable fibers due to short-range fields arising from intermolecular forces. The formulation improves the existing section-section interaction potential law for in-plane…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 A. Borković , M. H. Gfrerer , R. A. Sauer , B. Marussig , T. Q. Bui

We study two dimensional stripe forming systems with competing repulsive interactions decaying as $r^{-\alpha}$. We derive an effective Hamiltonian with a short range part and a generalized dipolar interaction which depends on the exponent…

Statistical Mechanics · Physics 2015-03-19 Alejandro Mendoza-Coto , Daniel A. Stariolo , Lucas Nicolao

In this paper we present a detailed analytical study of the phase diagram and of the structural properties of a field theoretic model with a short-range attraction and a competing long-range screened repulsion. We provide a full derivation…

Soft Condensed Matter · Physics 2009-11-13 Marco Tarzia , Antonio Coniglio

Long-range interactions are essential determinants of chemical system behaviour across diverse environments. We present a foundation framework that integrates explicit polarizable long-range physics with an equivariant graph neural network…

Chemical Physics · Physics 2025-11-27 Rongzhi Gao , ChiYung Yam , Jianjun Mao , Shuguang Chen , GuanHua Chen , Ziyang Hu

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

Statistical Mechanics · Physics 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi

Fluids in which the interparticle potential has a hard core, is attractive at moderate separations, and repulsive at greater separations are known to exhibit novel phase behavior, including stable inhomogeneous phases. Here we report a…

Soft Condensed Matter · Physics 2008-09-17 Andrew J. Archer , Nigel B. Wilding

We consider rapid cooling processes in classical, 3-dimensional, purely repulsive binary mixtures in which an initial infinite-temperature (ideal-gas) configuration is instantly quenched to zero temperature. It is found that such systems…

Statistical Mechanics · Physics 2020-06-23 Pedro Antonio Santos-Flórez , Maurice de Koning

Off-diagonal (transverse) effects in micro-patterned geometries are predicted and analyzed within the general frame of linear response theory, relating applied presure gradient and electric field to flow and electric current. These effects…

Soft Condensed Matter · Physics 2009-11-07 Armand Ajdari

Aiming to approach the thermodynamical properties of hard-core systems by standard molecular dynamics simulation, we propose setting a repulsive constant-force for overlapping particles. That is, the discontinuity of the pair potential is…

Soft Condensed Matter · Physics 2014-12-30 Pedro Orea , Gerardo Odriozola

We consider a model with competing double-exchange (ferromagnetic) and super-exchange (anti-ferromagnetic) interactions in the regime where phase separation takes place. The presence of a long range Coulomb interaction frustrates a…

Strongly Correlated Electrons · Physics 2009-01-05 Gideon Wachtel , Dror Orgad , D. I. Golosov

We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is described by non-local potentials that are mutually…

Analysis of PDEs · Mathematics 2019-04-11 S. Fagioli , Y. Jaafra

We propose that the behavior of asymmetric binary fluid mixtures with a large class of attractive or repulsive interparticle interactions can be understood by mapping onto effective non-additive hard-sphere models. The latter are best…

Soft Condensed Matter · Physics 2007-05-23 A. A. Louis , R. Roth

When a film of a liquid suspension of nanoparticles or a polymer solution is deposited on a surface, it may dewet from the surface and as the solvent evaporates the solute particles/polymer can be deposited on the surface in regular line…

Soft Condensed Matter · Physics 2013-03-25 Lubor Frastia , Andrew J. Archer , Uwe Thiele