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As an extension of Polya's classical result on random walks on the square grids ($\Z^d$), we consider a random walk where the steps, while still have unit length, point to different directions. We show that in dimensions at least 4, the…

Combinatorics · Mathematics 2016-08-10 Simão Herdade , Van Vu

This study debuts a new spline dimensional decomposition (SDD) for uncertainty quantification analysis of high-dimensional functions, including those endowed with high nonlinearity and nonsmoothness, if they exist, in a proficient manner.…

Numerical Analysis · Mathematics 2021-11-29 Sharif Rahman , Ramin Jahanbin

The main chain dihedral angles play an important role to decide the protein conformation. The native states of a protein can be regard as an ensemble of a lot of similar conformations, in different conformations the main chain dihedral…

Biomolecules · Quantitative Biology 2016-07-14 Shiyang Long , Pu Tian

Dissipative particle dynamics (DPD) belongs to a class of models and computational algorithms developed to address mesoscale problems in complex fluids and soft matter in general. It is based on the notion of particles that represent…

Statistical Mechanics · Physics 2017-05-24 Pep Español , Patrick B Warren

This paper attempts to summarise the highlights of the talks presented in Parallel Session II of the SPIN 2004 Symposium dedicated to the QCD spin structure of nucleons. Emphasis is put on new data and theoretical developments.

High Energy Physics - Experiment · Physics 2007-05-23 Gerhard K. Mallot

The diffusion in the comb structures is a popular model of geometrically induced anomalous diffusion. In the present work we concentrate on the diffusion along the backbone in a system where sidebranches are planes, and the diffusion…

Statistical Mechanics · Physics 2017-12-13 A. R. Dzhanoev , I. M. Sokolov

The roll of diffraction in the formulation of soft scattering is investigated aiming to assess the resent SD TOTEM results.

High Energy Physics - Experiment · Physics 2013-10-29 Uri Maor

We present the microscopic QCD evaluation of the secondary reggeon contribution to diffractive DIS. It is shown that the interference between Pomeron and Reggeon enters in the maximal possible way. In the region of large $\beta \simeq 1$ it…

High Energy Physics - Phenomenology · Physics 2009-09-25 W. Schaefer

This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some questions, problems and conjectures on geometrical…

Number Theory · Mathematics 2007-05-23 O. N. Karpenkov

In this paper we present alternative proofs for two known rigidity results concerning non-negatively curved compact biconservative hypersurfaces in space forms. Further, we prove some new rigidity results by replacing the hypothesis of…

Differential Geometry · Mathematics 2024-09-30 Ştefan Andronic , Aykut Kayhan

Spin coating is an out-of-equilibrium technique for producing polymer films and colloidal crystals quickly and reproducibly. In this review, we present an overview of theoretical and experimental studies of the spin coating of colloidal…

Soft Condensed Matter · Physics 2013-02-26 Moorthi Pichumani , Payam Bagheri , Kristin M. Poduska , Wenceslao Gonzalez-Vinas , Anand Yethiraj

Periodic Geometry studies isometry invariants of periodic point sets that are also continuous under perturbations. The motivations come from periodic crystals whose structures are determined in a rigid form but any minimal cells can…

Computational Geometry · Computer Science 2023-01-13 Olga Anosova , Vitaliy Kurlin

Shell structure of the single-particle spectrum for reflection-asymmetric deformed cavity is investigated. Remarkable shell structure emerges for certain combinations of quadrupole and octupole deformations. Semiclassical periodic-orbit…

Nuclear Theory · Physics 2009-10-30 A. Sugita , K. Arita , K. Matsuyanagi

We use molecular dynamics (MD) simulations to study surface-directed spinodal decomposition (SDSD) in unstable binary ($AB$) fluid mixtures at wetting surfaces. The thickness of the wetting layer $R_1$ grows with time $t$ as a power-law…

Soft Condensed Matter · Physics 2012-04-04 Prabhat K. Jaiswal , Sanjay Puri , Subir K. Das

In contrast to the previous reports that the divalent perovskite SrCrO$_3$ was believed to be cubic structure and nonmagnetic metal, recent measurements suggest coexistence of majority tetragonally distorted weak antiferromagnetic phase and…

Strongly Correlated Electrons · Physics 2009-10-01 K. -W. Lee , W. E. Pickett

We discuss the use of symmetries for analysing the structural identifiability and observability of control systems. Special emphasis is put on the role of discrete symmetries, in contrast to the more commonly studied continuous or Lie…

Understanding and predicting the phase behavior of intrinsically disordered proteins (IDPs) is of significant interest due to their role in many biological processes. However, effectively characterizing phase behavior and its complex…

Soft Condensed Matter · Physics 2025-07-18 Wesley W. Oliver , William M. Jacobs , Michael A. Webb

Translational diffusion coefficients are routinely estimated from molecular dynamics simulations. Linear fits to mean squared displacement (MSD) curves have become the de facto standard, from simple liquids to complex biomacromolecules.…

Computational Physics · Physics 2020-11-20 Jakob Tómas Bullerjahn , Sören von Bülow , Gerhard Hummer

Background: Sequential positivity is often a necessary assumption for drawing causal inferences, such as through marginal structural modeling. Unfortunately, verification of this assumption can be challenging because it usually relies on…

Machine learning techniques have successfully been used to extract structural information such as the crystal space group from powder X-ray diffractograms. However, training directly on simulated diffractograms from databases such as the…

Materials Science · Physics 2023-10-12 Henrik Schopmans , Patrick Reiser , Pascal Friederich
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