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In this study, we experimentally investigated the time dependence of the statistical properties of two-dimensional drying crack patterns to determine the functional form of fragment size distribution. Experiments using a thin layer of a…

Soft Condensed Matter · Physics 2020-09-30 Shin-ichi Ito , Akio Nakahara , Satoshi Yukawa

The main message in this paper is that there are surprisingly many different Brownian bridges, some of them - familiar, some of them - less familiar. Many of these Brownian bridges are very close to Brownian motions. Somewhat loosely…

Statistics Theory · Mathematics 2016-01-08 Estate Khmaladze

We introduce a new residual-bridge proposal for approximately simulating conditioned diffusions. This proposal is formed by applying the modified diffusion bridge approximation of Durham and Gallant (2002) to the difference between the true…

Computation · Statistics 2016-08-24 Sean Malory , Chris Sherlock

The phenomena of liquid bridge formation due to an applied electric field is investigated. A new solution for the charged catenary is presented which allows to determine the static and dynamical stability conditions where charged liquid…

Classical Physics · Physics 2015-05-28 Klaus Morawetz

A continuum description of granular flows would be of considerable help in predicting natural geophysical hazards or in designing industrial processes. However, the constitutive equations for dry granular flows, which govern how the…

Soft Condensed Matter · Physics 2016-08-16 Pierre Jop , Yoël Forterre , Olivier Pouliquen

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

The dependence of electron transfer rates and yields in bridged molecular systems on the bridge length, and the dependence of the zero-bias conduction of molecular wires on wire length are discussed. Both phenomena are controlled by…

Chemical Physics · Physics 2007-05-23 Spiros Skourtis , Abraham Nitzan

We show that simple explicit formulas can be obtained for several relevant quantities related to the laws of the uniformly sampled Brownian bridge, Brownian meander and three dimensional Bessel process. To prove such results, we use the…

Probability · Mathematics 2013-11-11 Mathieu Rosenbaum , Marc Yor

We study bridging transitions between spherically and cylindrically shaped particles (colloids) of radius $R$ separated by a distance $H$ that are dissolved in a bulk fluid (solvent). Using macroscopics, microscopic density functional…

Soft Condensed Matter · Physics 2015-09-30 Alexandr Malijevský , Andrew O. Parry

We consider the task of generating discrete-time realisations of a nonlinear multivariate diffusion process satisfying an It\^o stochastic differential equation conditional on an observation taken at a fixed future time-point. Such…

Computation · Statistics 2016-04-26 Gavin A. Whitaker , Andrew Golightly , Richard J. Boys , Chris Sherlock

In this paper we outline methodology to efficiently simulate (jump) diffusion bridge sample paths without discretisation error. We achieve this by considering the simulation of conditioned (jump) diffusion bridge sample paths in light of…

Methodology · Statistics 2015-05-13 Murray Pollock

A large and sparse random graph with independent exponentially distributed link weights can be used to model the propagation of messages or diseases in a network with an unknown connectivity structure. In this article we study an extended…

Probability · Mathematics 2019-08-06 Lasse Leskelä , Hoa Ngo

Skew bridges are common in highways and railway lines when non perpendicular crossings are encountered. The structural effect of skewness is an additional torsion on the bridge deck which may have a considerable effect, making its analysis…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 K. Nguyen , J. M. Goicolea

We derive bridges from general multidimensional linear non time-homogeneous processes using only the transition densities of the original process giving their integral representations (in terms of a standard Wiener process) and so-called…

Probability · Mathematics 2014-03-25 Matyas Barczy , Peter Kern

We study time-dependent density segregation of granular mixtures flowing over an inclined plane. Discrete Element Method (DEM) simulations in a periodic box are performed for granular mixtures of same size and different density particles…

Soft Condensed Matter · Physics 2025-04-16 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

The formation of three-dimensional prismatic cracks in the drying process of starch-water mixtures is investigated numerically. We assume that the mixture is an elastic porous medium which possesses a stress field and a water content field.…

Soft Condensed Matter · Physics 2009-11-13 Akihiro Nishimoto , Tsuyoshi Mizuguchi , So Kitsunezaki

We probe the diffusive motion of particles in slowly sheared three dimensional granular suspensions. For sufficiently large strains, the particle dynamics exhibits diffusive Gaussian statistics, with the diffusivity proportional to the…

Soft Condensed Matter · Physics 2015-06-11 Elie Wandersman , Joshua A. Dijksman , Martin van Hecke

To investigate the barrier effect of grain boundaries on the propagation of avalanche-like plasticity at the atomic-scale, we perform three-dimensional molecular dynamics simulations by using simplified polycrystal models including…

Materials Science · Physics 2017-01-19 Tomoaki Niiyama , Tomotsugu Shimokawa

We investigate a gas of wet granular particles, covered by a thin liquid film. The dynamic evolution is governed by two-particle interactions, which are mainly due to interfacial forces in contrast to dry granular gases. When two wet grains…

Soft Condensed Matter · Physics 2013-05-29 Stephan Ulrich , Timo Aspelmeier , Annette Zippelius , Klaus Roeller , Axel Fingerle , Stephan Herminghaus

We employ simulations of model proteins to study folding on rugged energy landscapes. We construct ``first-passage'' networks as the system transitions from unfolded to native states. The nodes and bonds in these networks correspond to…

Soft Condensed Matter · Physics 2015-05-13 Gregg Lois , J. Blawzdziewicz , Corey S. O'Hern