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We present a model for the motion of hard spherical particles on a two dimensional surface. The model includes both the interaction between the particles via collisions, as well as the interaction of the particles with the substrate. We…

Soft Condensed Matter · Physics 2021-01-05 Ljubinko , Kondic

Hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls are studied under creeping-flow conditions. The many-particle friction matrix in this system is evaluated using our novel numerical…

Fluid Dynamics · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

Phase transitions are conventionally defined by nonanalyticities of thermodynamic potentials in the thermodynamic limit. In this Letter, we show that the singularity is not the definition of criticality but its asymptotic outcome:…

Statistical Mechanics · Physics 2026-02-25 Loris Di Cairano

Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameters. The helical structure in this model arises from the…

Strongly Correlated Electrons · Physics 2020-08-20 A. O. Sorokin

To understand the range of close-to-classical critical behavior seen in various electrolytes, generalized Debye-Hueckel theories (that yield density correlation functions) are applied to the restricted primitive model of equisized hard…

Condensed Matter · Physics 2009-10-28 Michael E. Fisher , Benjamin P. Lee

Using event driven molecular dynamics simulations, we study a three dimensional one-component system of spherical particles interacting via a discontinuous potential combining a repulsive square soft core and an attractive square well. In…

Soft Condensed Matter · Physics 2009-11-10 A. Skibinsky , S. V. Buldyrev , G. Franzese , G. Malescio , H. E. Stanley

We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density $\rho$. Restricting ourselves to periodic configurations of…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

Grand canonical simulations at various levels, $\zeta=5$-20, of fine- lattice discretization are reported for the near-critical 1:1 hard-core electrolyte or RPM. With the aid of finite-size scaling analyses it is shown convincingly that,…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

This research investigates a novel class of one-dimensional theories characterised by a distinctly defined infinite interaction range. We propose that such theories emerge naturally through a mesoscopic feedback mechanism. In this…

High Energy Physics - Theory · Physics 2026-02-13 Kurt Langfeld , Amanda Turner

Effect of the spin-involved interaction of electrons with impurity atoms or defects to the transport properties of a two-dimensional electron gas is described by using a simplifying two-component model. Components representing spin-up and…

Condensed Matter · Physics 2007-05-23 P. Seba , P. Exner , K. N. Pichugin , P. Streda

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

Disordered Systems and Neural Networks · Physics 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas

We study the emergence of critical dynamics in the steady shear rheology of fluidized soft glassy materials. Within a mesoscale elasto-plastic model accounting for a shear band instability, we show how an additional noise can induce a…

Soft Condensed Matter · Physics 2019-09-11 Magali Le Goff , Eric Bertin , Kirsten Martens

A field-theoretical description of the behavior of homogeneous, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. For three-dimensional Ising-like…

Statistical Mechanics · Physics 2007-05-23 S. V. Belim

We show that soft spheres interacting with a linear ramp potential when overcompressed beyond the jamming point fall in an amorphous solid phase which is critical, mechanically marginally stable and share many features with the jamming…

Disordered Systems and Neural Networks · Physics 2020-07-29 Silvio Franz , Antonio Sclocchi , Pierfrancesco Urbani

In magnetic systems, the microscopic constituents exhibit power law behavior near the paramagnetic transition temperature, $T_C$. The critical exponents (CEs) associated with the physical quantities that demonstrate singular behavior at…

Strongly Correlated Electrons · Physics 2026-01-21 Harish Chandr Chauhan , Umesh C. Roy , Shovan Dan , A. Thamizhavel , Pintu Das

Employing simplified models in computer simulation is on the one hand often enforced by computer time limitations but on the other hand it offers insights into the molecular properties determining a given physical phenomenon. We employ this…

Statistical Mechanics · Physics 2008-04-18 Bortolo Matteo Mognetti , Martin Oettel , Leonid Yelash , Peter Virnau , Wolfgang Paul , Kurt Binder

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the…

Disordered Systems and Neural Networks · Physics 2019-07-29 Silvio Franz , Thibaud Maimbourg , Giorgio Parisi , Antonello Scardicchio

We investigate self-organized criticality in a two-dimensional electron gas (2DEG) by introducing a lattice-based model that incorporates electron-electron interactions through the concept of coherence length. Our numerical simulations…

Statistical Mechanics · Physics 2025-09-17 Maryam Pirgholi , Morteza Nattagh Najafi , Vadood Adami

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

Statistical Mechanics · Physics 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

Statistical Mechanics · Physics 2009-11-13 S. V. Belim
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