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The tube model is a central concept in polymer physics, and allows to reduce the complex many-filament problem of an entangled polymer solution to a single filament description. We investigate the probability distribution function of…

软凝聚态物质 · 物理学 2009-08-12 Hauke Hinsch , Erwin Frey

We develop a multiscale approach to estimate high-dimensional probability distributions from a dataset of physical fields or configurations observed in experiments or simulations. In this way we can estimate energy functions (or…

统计力学 · 物理学 2024-12-24 Tanguy Marchand , Misaki Ozawa , Giulio Biroli , Stéphane Mallat

Finite-size scaling arguments naturally lead us to introduce a coordinate-dependent diffusion coefficient in a Fokker-Planck description of the late stage dynamics of unbiased polymer translocation through a membrane pore. The solution for…

统计力学 · 物理学 2015-06-17 Giovanni Brandani , Fulvio Baldovin , Enzo Orlandini , Attilio L. Stella

We demonstrate how an iterative method for potential inversion from distribution functions developed for simple liquid systems can be generalized to polymer systems. It uses the differences in the potentials of mean force between the…

软凝聚态物质 · 物理学 2007-05-23 Dirk Reith , Mathias Puetz , Florian Mueller-Plathe

We propose a novel estimator of the polarization amplitude from a single measurement of its normally distributed $(Q,U)$ Stokes components. Based on the properties of the Rice distribution and dubbed 'MAS' (Modified ASymptotic), it meets…

宇宙学与河外天体物理 · 物理学 2014-04-30 S. Plaszczynski , L. Montier , F. Levrier , M. Tristram

We consider all totally asymmetric simple exclusion processes (TASEPs) whose transition probabilities are given in the Sch\"utz-type formulas and which jump with homogeneous rates. We show that the multi-point distribution of particle…

概率论 · 数学 2023-01-10 Yuta Arai

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

高能物理 - 格点 · 物理学 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

We study the probability distribution function of the long-time values of observables being time-evolved by Hamiltonians modeling clean and disordered one-dimensional chains of many spin-1/2 particles. In particular, we analyze the return…

无序系统与神经网络 · 物理学 2023-10-10 I. Vallejo-Fabila , E. Jonathan Torres-Herrera

The organization of high-dimensional probability spaces is a fundamental problem at the intersection of statistical physics and information theory. Here, we analyze the distributions populating level surfaces of the probability simplex…

This work is an extended version of the paper arXiv:0803.2669v1[math-ph], in which the main results were announced. We consider certain classical diffusion process for a wave function on the phase space. It is shown that at the time of…

数学物理 · 物理学 2008-12-31 E. M. Beniaminov

The boost-invariant longitudinal space, defined by the parameter $\sigma=\frac{1}{2}b^-P^+$ can be studied from the Fourier transformation of distributions over the conjugate variable skewness $\xi$. We investigate quark Wigner…

高能物理 - 唯象学 · 物理学 2023-05-10 Vikash Kumar Ojha , Sujit Jana , Tanmay Maji

We express generalized Cauchy-Stieltjes transforms of some particular Beta distributions (of ultraspherical type generating functions for orthogonal polynomials) as a powered Cauchy-Stieltjes transform of some measure. For suitable values…

概率论 · 数学 2009-02-03 Nizar Demni

Large momentum effective theory allows extraction of hadron parton distribution functions in lattice QCD by matching them to quark bilinear matrix elements of hadrons with large momenta. We calculate the matching kernels for the…

高能物理 - 格点 · 物理学 2022-08-17 Chien-Yu Chou , Jiunn-Wei Chen

We construct a new random probability measure on the sphere and on the unit interval which in both cases has a Gibbs structure with the relative entropy functional as Hamiltonian. It satisfies a quasi-invariance formula with respect to the…

概率论 · 数学 2007-05-23 Max-K von Renesse , Karl-Theodor Sturm

We study the random sequential adsorption of $k$-mers on the fully-connected lattice with $N=kn$ sites. The probability distribution $T_n(s,t)$ of the time $t$ needed to cover the lattice with $s$ $k$-mers is obtained using a generating…

统计力学 · 物理学 2020-01-03 Loïc Turban

We consider an arbitrarily charged polymer driven by a weak field through a gel according to the rules of the Rubinstein-Duke model. The probability distribution in the stationary state is related to that of the model in which only the head…

统计力学 · 物理学 2007-05-23 Andrzej Drzewinski , J. M. J. van Leeuwen

The intensity distribution of electromagnetic polar waves in a chain of near-resonant weakly-coupled scatterers is investigated theoretically and supported by a numerical analysis. Critical scaling behavior is discovered for part of the…

介观与纳米尺度物理 · 物理学 2013-05-29 Sanli Faez , Ad Lagendijk , Alexander Ossipov

The multipolar decomposition of current distributions is used in many branches of physics. Here, we obtain new exact expressions for the dipolar moments of a localized electric current distribution. The typical integrals for the dipole…

光学 · 物理学 2015-12-17 Ivan Fernandez-Corbaton , Stefan Nanz , Rasoul Alaee , Carsten Rockstuhl

We propose a new approach to quantize the marginals of the discrete Euler diffusion process. The method is built recursively and involves the conditional distribution of the marginals of the discrete Euler process. Analytically, the method…

概率论 · 数学 2015-05-25 Gilles Pagès , Abass Sagna

We introduce a new paradigm, $\textit{measure synchronization}$, for synchronizing graphs with measure-valued edges. We formulate this problem as maximization of the cycle-consistency in the space of probability measures over relative…

计算机视觉与模式识别 · 计算机科学 2020-04-03 Tolga Birdal , Michael Arbel , Umut Şimşekli , Leonidas Guibas