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The demixing of a binary fluid mixture, under gravity, is a two stage process. Initially droplets, or in general aggregates, grow diffusively by collecting supersaturation from the bulk phase. Subsequently, when the droplets have grown to a…

Statistical Mechanics · Physics 2014-12-01 Martin Rohloff , Tobias Lapp , Jürgen Vollmer

A mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry it is standard…

Other Condensed Matter · Physics 2020-09-15 T. G. Myers , F. Font , M. G. Hennessy

New imaging techniques are in great demand for investigating underground plant roots systems which play an important role in crop production. Compared with other non-destructive imaging modalities, PET can image plant roots in natural soil…

Quantitative Methods · Quantitative Biology 2015-01-05 Qiang Wang , Sergey Komarov , Aswin J. Mathews , Ke Li , Christopher Topp , Joseph A. O'Sullivan , Yuan-Chuan Tai

In this paper, we present a new fractional mathematical model to describe the dynamics and the interaction between plants and water in arid and semi-arid environments with and without slope. By the Caputo fractional operator, the model…

Pattern Formation and Solitons · Physics 2025-10-24 Maria Paola Speciale , Alessandra Jannelli

The microscopic description of the local structure of water remains an open challenge. Here, we adopt an agnostic approach to understanding water's hydrogen bond network using data harvested from molecular dynamics simulations of an…

Soft Condensed Matter · Physics 2022-04-05 Adu Offei-Danso , Ali Hassanali , Alex Rodriguez

The soil water retention curve (SWRC) is the most commonly used relationship in the study of unsaturated soil. In this paper, the effect of porosity on the SWRC is investigated by numerically modeling unsaturated soil using the Shan-Chen…

Geophysics · Physics 2021-07-14 Reihaneh Hosseini , Krishna Kumar , Jean-Yves Delenne

We present simulations of granular flows in a modified Couette cell, using a continuum model recently proposed for dense granular flows. Based on a friction coefficient, which depends on an inertial number, the model captures the positions…

Soft Condensed Matter · Physics 2009-11-13 Pierre Jop

A moisture process with dynamics that switch after hitting a threshold gives rise to a rainfall process. This rainfall process is characterized by its random holding times for dry and wet periods. On average, the holding times for the wet…

Probability · Mathematics 2023-03-13 Scott Hottovy , Samuel N. Stechmann

We study how much water can be retained without leaking through boundaries when each unit square of a two-dimensional lattice is randomly assigned a block of unit bottom area but with different heights from zero to $n-1$. As more blocks are…

Statistical Mechanics · Physics 2012-04-17 Seung Ki Baek , Beom Jun Kim

Energy-harvesting systems in complex flow environments, such as floating offshore wind turbines, tidal turbines, and ground-fixed turbines in axial gusts, encounter unsteady streamwise flow conditions that affect their power generation and…

Fluid Dynamics · Physics 2023-07-19 Nathaniel J. Wei , John O. Dabiri

We study an optimization problem for a model of steady state water transport through plants that maximizes water flow subject to the constraints on hydraulic conductance due to vulnerability to embolism (air blockage of conduits). The model…

Optimization and Control · Mathematics 2022-06-27 Sergiy Koshkin , Michael Tobin , Jeffae Schroff , Matt Capobianco , Sarah Oldfield

In this work, a new model for macroscopic plant tissue growth based on dynamical Riemannian geometry is presented. We treat 1D and 2D tissues as continuous, deformable, growing geometries for sizes larger than 1mm. The dynamics of the…

Tissues and Organs · Quantitative Biology 2016-02-05 Julia Pulwicki

The characterisation of the spatial and temporal distribution of the root system in a cultivated field depends on the soil volume occupied by the root systems (the scatter), and the local intensity of the root colonisation in the field (the…

Applications · Statistics 2020-11-03 Jeanett S. Pelck , Rodrigo Labouriau

Soil physics models have long relied on simplifying assumptions to represent complex processes, yet such assumptions can strongly bias model predictions. Here, we propose a paradigm-shifting differentiable hybrid modeling (DHM) framework…

We visualize the formation of fingered flow in dry model sandy soils under different raining conditions using a quasi-2d experimental set-up, and systematically determine the impact of soil grain diameter and surface wetting property on…

Soft Condensed Matter · Physics 2014-10-30 Y. Wei , C. M. Cejas , R. Barrois , R. Dreyfus , D. J. Durian

Water is essential for agricultural productivity. Assessing water shortages and reduced yield potential is a critical factor in decision-making for ensuring agricultural productivity and food security. Crop simulation models, which align…

Machine Learning · Computer Science 2025-10-22 Miro Miranda , Marcela Charfuelan , Matias Valdenegro Toro , Andreas Dengel

Climate models simulate a strong land-ocean contrast in the response of near-surface relative humidity to global warming: relative humidity tends to increase slightly over oceans but decrease substantially over land. Surface energy balance…

Atmospheric and Oceanic Physics · Physics 2016-12-21 Michael P. Byrne , Paul A. O'Gorman

Efficient structural repair of wind turbine blades is essential to limiting global warming and reducing the Levelized Cost of Energy (LCOE). Repairs carried out up-tower are sensitive to environmental conditions whose effect on the material…

A computer simulation model is proposed to study film growth and surface roughness in aqueous ($A$) solution of hydrophobic ($H$) and hydrophilic ($P$) groups on a simple three dimensional lattice of size $L_x \times L_y \times L_z$ with an…

Soft Condensed Matter · Physics 2007-05-23 Shihai Yang , Adam Seyfarth , Sam Bateman , Ras B. Pandey

The objective of this work is to derive the soil water retention from the soil structure without curve-fitting and only using the physical parameters found irrespective of an experimental retention curve. Two key points underlie the work:…

Geophysics · Physics 2014-04-22 V. Y. Chertkov