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Spherical symmetry is ubiquitous in nature. It's therefore unfortunate that spherical system simulations are so hard, and require complete spheres with millions of interacting particles. Here we introduce an approach to model spherical…

Materials Science · Physics 2011-10-07 Pekka Koskinen , Oleg O. Kit

We study the equilibrium properties of a single flexible homopolymers where consecutive monomers are represented by impenetrable hard spherical beads tangential to each other, and non-consecutive monomers interact via a square-well…

Soft Condensed Matter · Physics 2016-04-21 Tatjana Škrbić , Artem Badasyan , Trinh Xuan Hoang , Rudolf Podgornik , Achille Giacometti

The one-dimensional spin-orbital model is studied by means of Abelian bosonization. We derive the low-energy effective theory which enables us to study small deviations from the SU(4) symmetric point. We show that there exists a massless…

Strongly Correlated Electrons · Physics 2007-05-23 P. Azaria , A. O. Gogolin , P. Lecheminant , A. A. Nersesyan

One of the major shortcomings of discrete element modelling (DEM) is the computational cost required when the number of particles is huge, especially for fine powders and/or industry scale simulations. This study investigates the scaling of…

Soft Condensed Matter · Physics 2015-06-04 Subhash C. Thakur , Jin Y. Ooi , Hossein Ahmadian

We explore structural correlations of strongly asymmetric mixtures of binary charged colloids within the primitive model of electrolytes considering large charge and size ratios of 10 and higher. Using computer simulations with explicit…

Soft Condensed Matter · Physics 2022-07-13 Elshad Allahyarov , Hartmut Löwen , Alan Denton

We report a computer-simulation study of the equilibrium phase diagram of a three-dimensional system of particles with a repulsive step potential. Using free-energy calculations, we have determined the equilibrium phase diagram of this…

Soft Condensed Matter · Physics 2009-11-13 Yu. D. Fomin , Daan Frenkel , N. V. Gribova , V. N. Ryzhov , S. M. Stishov

The gauged Nambu-Jona-Lasinio model in the quenched-ladder approximation has non-trivial dynamics near a critical scaling region (critical curve) separating a chiral symmetric and a dynamically chiral symmetry broken phase. Scalar and…

High Energy Physics - Theory · Physics 2016-08-25 V. P. Gusynin , M. Reenders

The vector type of interaction of the Thirring-Wess model was replaced by the chiral type and a new model was presented which was termed as chiral Thirring-Wess model in \cite{THAR}. The model was studied there with a Faddeevian class of…

High Energy Physics - Theory · Physics 2016-09-06 Anisur Rahaman

In this review, we present a symmetry-guided strategy that utilizes exact as well as partial symmetries for enabling a deeper understanding of and advancing ab initio studies for determining the microscopic structure of atomic nuclei. These…

Nuclear Theory · Physics 2016-12-14 Kristina D. Launey , Tomas Dytrych , Jerry P. Draayer

A new relativistic integrable nonlinear model for real, Majorana type spinor fields in 1+1 dimensions, gauge equivalent to Papanicolau spin model, defined on the one sheet hyperboloid is introduced. By using the double numbers, the model is…

Exactly Solvable and Integrable Systems · Physics 2022-07-11 Oktay K Pashaev

We discuss symmetries of the spherical shell model that make contact with the geometric collective model of Bohr and Mottelson. The most celebrated symmetry of this kind is SU(3), which is the basis of Elliott's model of rotation. It…

Nuclear Theory · Physics 2016-02-17 Piet Van Isacker , Stuart Pittel

We propose an effective model called the "charge model", for the half-filled one-dimensional Hubbard and extended Hubbard models. In this model, spin-charge separation, which has been justified from an infinite on-site repulsion ($U$) in…

Strongly Correlated Electrons · Physics 2020-01-29 Shu Ohmura , Akira Takahashi , Kaoru Iwano , Tokitake Yamaguchi , Kazuya Shinjo , Takami Tohyama , Shigetoshi Sota , Hiroshi Okamoto

Sought-after ordered structures of mixtures of hard anisotropic nanoparticles can often be thermodynamically unfavorable due to the components' geometric incompatibility to densely pack into regular lattices. A simple compatibilization rule…

Soft Condensed Matter · Physics 2014-10-22 Mihir R. Khadilkar , Fernando A. Escobedo

In this paper, we investigate the integrability aspects of a physically important nonlinear oscillator which lacks sufficient number of Lie point symmetries but can be integrated by quadrature. We explore the hidden symmetry, construct a…

Exactly Solvable and Integrable Systems · Physics 2012-07-23 A. Bhuvaneswari , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

The theoretical study of ultracold few-body systems is often done using an idealized 1D model with zero range interactions. Here we study these systems using a more realistic 3D model with finite range interactions. We place…

Quantum Gases · Physics 2019-10-17 M. Wallenius , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

Using confocal-microscopy we investigate the structure of binary mixtures of colloidal hard spheres with size ratio q=0.61. As a function of the packing fraction of the two particle species, we observe a marked change of the dominant…

Soft Condensed Matter · Physics 2007-10-04 Jörg Baumgartl , Roel P. A. Dullens , Marjolein Dijkstra , Roland Roth , Clemens Bechinger

We introduce the Poisson-Boltzmann cell model for spherical colloidal particles with a heterogeneous surface charge distribution. This model is obtained by generalizing existing cell models for mixtures of homogeneously charged colloidal…

Soft Condensed Matter · Physics 2015-05-13 Eelco Eggen , René van Roij

Two new nontrivial U(1) gauge symmetries are proposed, one based on the particle content of the standard model and the other on that of its supersymmetric generalization. Each is an unexpected first example of its kind. A third new proposal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ernest Ma

A mixture of solvent particles with short-range, directional interactions and solute particles with short-range, isotropic interactions that can bond multiple times is of fundamental interest in understanding liquids and colloidal mixtures.…

Soft Condensed Matter · Physics 2016-09-21 Artee Bansal , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman