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We consider bosonic atoms with a repulsive contact interaction in a trap potential for a Bose-Einstein condensation and additionally include a random potential. The ensemble averages for two models of static and dynamic disorder are…

统计力学 · 物理学 2007-08-26 Bernhard Mieck

We report molecular dynamics simulations of a system of repulsive, polymer-tethered colloidal particles. We use an explicit polymer model to explore how the length and the behavior of the polymer (ideal or self-avoiding) affect the ability…

软凝聚态物质 · 物理学 2015-05-14 Behnaz Bozorgui , Maya Sen , William L. Miller , Josep C. Pamies , Angelo Cacciuto

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…

软凝聚态物质 · 物理学 2007-05-23 A. A. Louis , R. Roth

The polymer systems are discussed in the framework of the Landau-Ginzburg model. The model is derived from the mesoscopic Edwards hamiltonian via the conditional partition function. We discuss flexible, semiflexible and rigid polymers. The…

凝聚态物理 · 物理学 2007-05-23 Robert Holyst , T. A. Vilgis

Simulations and Mode-Coupling Theory calculations, for a large range of the arm number $f$ and packing fraction $\eta$ have shown that the structural arrest and the dynamics of star polymers in a good solvent are extremely rich: the systems…

软凝聚态物质 · 物理学 2009-11-10 F. Lo Verso , L. Reatto , G. Foffi , P. Tartaglia , K. A. Dawson

We develop the cluster expansion for the multidimensional multiscaled contours defined by three of us. These contours are suitable for long-range Ising models with interaction $J_{xy}=J(|x-y|)= J/|x-y|^\alpha$, $J>0$, and $\alpha>d$. As an…

数学物理 · 物理学 2025-08-22 Lucas Affonso , Rodrigo Bissacot , João Maia , João F. Rodrigues , Kelvyn Welsch

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions,…

软凝聚态物质 · 物理学 2009-11-07 Richard P. Sear

We study the convergence of cluster and virial expansions for systems of particles subject to positive two-body interactions. Our results strengthen and generalize existing lower bounds on the radii of convergence and on the value of the…

数学物理 · 物理学 2019-10-01 Roberto Fernández , Nguyen Tong Xuan

A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

软凝聚态物质 · 物理学 2014-11-19 V. Blavatska , N. Fricke , W. Janke

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

统计力学 · 物理学 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

We derive the large-N, all order asymptotic expansion for a system of N particles with mean-field interactions on top of a Coulomb repulsion at temperature 1/\beta, under the assumptions that the interactions are analytic, off-critical, and…

数学物理 · 物理学 2016-10-06 Gaëtan Borot , Alice Guionnet , Karol K. Kozlowski

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

For finite interacting particle systems with strong repulsing-attracting or general interactions, we prove global weak well-posedness almost up to the critical threshold of the strengths of attracting interactions (independent of the number…

概率论 · 数学 2024-08-05 Damir Kinzebulatov

We consider a system of classical particles confined in a box $\Lambda\subset\mathbb{R}^d$ with zero boundary conditions interacting via a stable and regular pair potential. Based on the validity of the cluster expansion for the canonical…

概率论 · 数学 2021-03-30 Giuseppe Scola

The increasing number of flavour anomalies motivates the investigation of new processes where tensions similar to the observed ones may emerge. It is necessary to identify observables sensitive to physics beyond the Standard Model. The…

高能物理 - 唯象学 · 物理学 2022-09-20 Francesco Loparco

In alloys exhibiting substitutional disorder, the variety of atomic environments manifests itself as a `disorder broadening' in their core level binding energy spectra. Disorder broadening can be measured experimentally, and in principle…

材料科学 · 物理学 2014-07-14 T. L. Underwood , G. J. Ackland , R. J. Cole

We study the critical behaviour of the \SUN{} generalization of the one-dimensional Hubbard model with arbitrary degeneracy $N$. Using the integrability of this model by Bethe Ansatz we are able to compute the spectrum of the low-lying…

凝聚态物理 · 物理学 2009-10-22 Holger Frahm , Andreas Schadschneider

In this paper we develop a general theory which provides a unified treatment of two apparently different problems. The weak Gibbs property of measures arising from the application of Renormalization Group maps and the mixing properties of…

统计力学 · 物理学 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

We explore the possibility of a Berezinskii-Kosterlitz-Thouless-like critical phase for the charge degrees of freedom in the intermediate-temperature regime between the charge-ordered and disordered phases in two-dimensional systems with…

强关联电子 · 物理学 2018-05-23 Ryui Kaneko , Yoshihiko Nonomura , Masanori Kohno

We study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature $\beta>2$. In this regime, the partition function diverges and the interaction needs to be cut off at a length scale $\lambda\in…

数学物理 · 物理学 2026-02-24 Jeanne Boursier , Sylvia Serfaty