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Functional traits indicate a continuum of tree drought strategies across a soil water availability gradient in a tropical dry forest
Tropical dry forest Soil moisture content Functional guilds Drought avoidance Drought resistance Drought tolerance
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2024/1/12
This study evaluates drought survival mechanisms of tropical dry forest (TDF) trees based on their functional traits (FTs). We addressed the following questions: (i) What are the dominant functional g...
Leaves as bottlenecks: The contribution of tree leaves to hydraulic resistance within the soil?plant?atmosphere continuum
drought responsehy drodynamic modelling leaf hydraulic conductivity plant hydraulicsplant water relations whole-tree hydraulic conductance
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2023/11/16
Within vascular plants, the partitioning of hydraulic resistance along the soil-to-leaf continuum affects transpiration and its response to environmental conditions. In trees, the fractional contribut...
The Classical Continuum without Points
continuum punctiform non-punctiform decomposable indecomposable real numbers classical analysis
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2016/5/30
We develop a point-free construction of the classical one- dimensional continuum, with an interval structure based on mereology and either a weak set theory or logic of plural quantification. In some ...
Continuum description of profile scaling in nanostructure decay
Continuum description profile scaling nanostructure decay
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2015/10/16
The relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition is studied via a continuum approach that accounts for step energy g1 and step-step interaction energ...
Continuum approach to self-similarity and scaling in morphological relaxation of a crystal with a facet
Continuum approach self-similarity and scaling morphological relaxation crystal with a facet
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2015/10/16
The morphological relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition temperature is studied analytically for diffusion-limited sDLd and attachment-detachme...
CONTINUUM DESCRIPTIONS OF CRYSTAL SURFACE EVOLUTION
CONTINUUM DESCRIPTIONS CRYSTAL SURFACE EVOLUTION
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2015/10/16
It is well known that liquid surfaces evolve in shape due to the effect of surface tension, which drives configurations towards lower energy. The breakup of an initially cylindrical fluid thread into ...
CONTINUUM RELAXATION OF INTERACTING STEPS ON CRYSTAL SURFACES IN 2+1 DIMENSIONS
crystal surface epitaxial growth morphological evolution Burton–Cabrera–Frank model Ehrlich–Schwoebel barrier entropic interactions elastic dipole interactions step chemical potential continuum limit surface mobility
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2015/10/16
We study the relaxation of crystal surfaces in 2+1 dimensions via the motion ofinteracting atomic steps. The goal is the rigorous derivation of the continuum limit. The starting point is a discrete sc...
Continuum Theory of Nanostructure Decay Via a Microscale Condition
Continuum Theory Nanostructure Decay Microscale Condition
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2015/10/16
The morphological relaxation of faceted crystal surfaces is studied via a continuum approach. Our formulation includes (i) an evolution equation for the surface slope that describes step line tension,...
Unified continuum approach to crystal surface morphological relaxation
Unified continuum approach crystal surface morphological relaxation
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2015/10/16
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. Our goal is to unify previously disconnected experimental o...
Anisotropic diffusion in continuum relaxation of stepped crystal surfaces
Anisotropic diffusion continuum relaxation stepped crystal surfaces
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2015/10/16
We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the sur...
From crystal steps to continuum laws:Behavior near large facets in one dimension
Crystal surface Epitaxial relaxation Self-similar solution Burton–Cabrera–Frank (BCF) model Facet Macroscopic limit
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2015/10/16
The passage from discrete schemes for surface line defects (steps) to nonlinear macroscopic laws for crystals is studied via formal asymptotics in one space dimension. Our goal is to illustrate by exp...
DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
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2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
CONTINUOUS COLORINGS ASSOCIATED WITH CERTAIN CHARACTERISTICS OF THE CONTINUUM
CONTINUOUS COLORINGS ASSOCIATED CERTAIN CHARACTERISTICS
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2015/8/17
A coloring c:[X]n → Z is said to be irreducible if for every Y; X of equal cardinality c00[Y ]n = Z. The focus of this note will be to show that there are continuous irreducible colorings on sets of r...
Open colorings,the continuum and the second uncountable cardinal
Open colorings the continuum second uncountable cardinal
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2015/8/17
The purpose of this article is to analyze the cardinality of the continuum using Ramsey theoretic statements about open colorings or “open coloring axioms.” In particular I will show that the conjunct...
ITERATED FORCING AND THE CONTINUUM HYPOTHESIS
ITERATED FORCING CONTINUUM HYPOTHESIS
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2015/8/17
The notes which follow reflect the content of a two day tutorial which took place at the Fields Institute on 5/29 and 5/30 in 2009. Most of the content has existed in the literature for some time (pri...