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The canonical NLT partition function of a quasi-one dimensional (q1D) one-file system of equal hard disks [J. Chem Phys. 153, 144111 (2020)] provides an analytical description of the thermodynamics and ordering in this system (a pore) as a…

无序系统与神经网络 · 物理学 2026-02-11 V. M. Pergamenshchik , T. Bryk , A. Trokhymchuk

The exact canonical partition function of a hard disk system in a narrow quasi-one dimensional pore of given length and width is derived analytically in the thermodynamic limit. As a result the many body problem is reduced to solving two…

软凝聚态物质 · 物理学 2020-10-28 V. M. Pergamenshchik

We study a quasi-one-dimensional fluid of hard dumbbells with continuous orientational degrees of freedom using an exact transfer-matrix formulation. The model allows for a complete analytical characterization of thermodynamic properties,…

软凝聚态物质 · 物理学 2026-05-14 Ana M. Montero , Péter Gurin , Szabolcs Varga , Andrés Santos

We examine the ordering behavior of hard plate-like particle in a very narrow slit-like pore using the Parsons-Lee density functional theory and the restricted orientation approximation. We observe that the plates are orientationally…

软凝聚态物质 · 物理学 2019-09-24 Sakine Mizani , Roohollah Aliabadi , Hamdollah Salehi , Szabolcs Varga

Using transfer matrices up to next-nearest-neighbour (NNN) interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined by two parallel lines and hard spheres confined in cylinders.…

软凝聚态物质 · 物理学 2022-05-03 Yi Hu , Lin Fu , Patrick Charbonneau

We report Monte Carlo results for the two-dimensional hard disk system. Simulations were performed in the NVT ensemble with up to 65536 disks, using a new updating scheme. We analyze the bond orientational order parameter and correlation…

统计力学 · 物理学 2009-10-31 Andreas Jaster

We investigate a quasi-one-dimensional (Q1D) system of hard spheres confined within a cylindrical pore so narrow that only nearest-neighbor interactions occur. By mapping this Q1D system onto a one-dimensional polydisperse mixture of…

软凝聚态物质 · 物理学 2025-07-14 Ana M. Montero , Andrés Santos

We investigate the orientational ordering and close-packing behavior of hard Gaussian overlap (HGO) particles, which are confined into a quasi-one-dimensional (q1D) channel. In the channel, particles are allowed to move along the channel…

软凝聚态物质 · 物理学 2026-03-03 Sakineh Mizani , Péter Gurin , Szabolcs Varga

Huerta et al. [Phys. Rev. Research 2, 033351 (2020)] report a power-law decay of positional order in numerical simulations of hard disks confined within hard parallel walls, which they interpret as a Kosterlitz-Thouless-type caging-uncaging…

软凝聚态物质 · 物理学 2021-08-19 Yi Hu , Patrick Charbonneau

We consider the correlations and the hydrodynamic description of random walkers with a general finite memory moving on a $d$ dimensional hypercubic lattice. We derive a drift-diffusion equation and identify a memory-dependent critical…

统计力学 · 物理学 2020-01-29 Eial Teomy , Ralf Metzler

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The…

软凝聚态物质 · 物理学 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

Dynamical density functional theory (DDFT) is a powerful variational framework to study the nonequilibrium properties of colloids by only considering a time-dependent one-body number density. Despite the large number of recent successes,…

软凝聚态物质 · 物理学 2021-01-13 René Wittmann , Hartmut Löwen , Joseph M. Brader

We present a first QCD analysis of next-to-next-leading-order (NNLO) contributions of the spin-dependent parton distribution functions (PPDFs) in the nucleon and their uncertainties using the Jacobi polynomial approach. Having the NNLO…

高能物理 - 唯象学 · 物理学 2016-06-24 F. Taghavi Shahri , Hamzeh Khanpour , S. Atashbar Tehrani , Z. Alizadeh Yazdi

We briefly discuss recent results on the evolution of unpolarized parton densities and structure functions in massless perturbative QCD. Present partial results on the next-to-next-to-leading order (NNLO) evolution kernels prove sufficient…

高能物理 - 唯象学 · 物理学 2009-10-31 W. L. van Neerven , A. Vogt

We summarize recent results on the evolution of unpolarized parton densities and deep-inelastic structure functions in massless perturbative QCD. Due to last year's extension of the integer-moment calculations of the three-loop splitting…

高能物理 - 唯象学 · 物理学 2008-11-26 W. L. van Neerven , A. Vogt

We show that the formalism of Wertheim's first order thermodynamic perturbation theory can be generalised for the fluid of rotating sticky particles with anisotropic hard core confined to a quasi-one-dimensional channel. Using the transfer…

统计力学 · 物理学 2025-10-09 Péter Gurin , Szabolcs Varga

We report the results of an experimental study of a colloid fluid confined to a quasi-one dimensional (q1D) ribbon channel as a function of channel width and colloid density. Our findings confirm the principal predictions of previous…

The orientational distribution function of the nematic phase of the semi-flexible rod-like virus fd is measured by x-ray diffraction as a function of concentration and ionic strength. The angular distribution of the scattered intensity from…

软凝聚态物质 · 物理学 2013-05-29 K. R. Purdy , Z. Dogic , S. Fraden , A. Ruehm , L. Lurio , S. G. J. Mochrie

As a simple model for single-file diffusion of hard core particles we investigate the one-dimensional symmetric exclusion process. We consider an open semi-infinite system where one end is coupled to an external reservoir of constant…

统计力学 · 物理学 2009-11-07 J. E. Santos , G. M. Schuetz

The thermodynamic properties of disks moving in a channel sufficiently narrow that they can collide only with their nearest neighbors can be solved exactly by determining the eigenvalues and eigenfunctions of an integral equation. Using it…

软凝聚态物质 · 物理学 2014-03-17 M. J. Godfrey , M. A. Moore
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