954 research outputs found
Cenozoic evolution of Neotethys and implications for the causes of plate motions
Africa-North America-Eurasia plate circuit rotations, combined with Red Sea rotations and new estimates of crustal shortening in Iran define the Cenozoic history of the Neotethyan ocean between Arabia and Eurasia. The new constraints indicate that Arabia-Eurasia convergence has been fairly constant at 2 to 3 cm/yr since 56 Ma with slowing of Africa-Eurasia motion to <1 cm/yr near 25 Ma, coeval with the opening of the Red Sea. Ocean closure occurred no later than 10 Ma, and could have occurred prior to this time only if a large amount of continental lithosphere was subducted, suggesting that slowing of Africa significantly predated the Arabia-Eurasia collision. These kinematics imply that Africa's disconnection with the negative buoyancy of the downgoing slab of lithosphere beneath southern Eurasia slowed its motion. The slow, steady rate of northward subduction since 56 Ma contrasts with strongly variable rates of magma production in the Urumieh-Dokhtar arc, implying magma production rate in continental arcs is not linked to subduction rate
Growing spaces : an evaluation of the mental health recovery programme using mixed methods
Background: Therapeutic horticulture is a nature-based method which includes a range of green activities such as gardening to promote wellbeing. It is believed that therapeutic horticulture provides a person-centred approach that can reduce social isolation for people with mental health problems.
Aims: The aim of the project was to evaluate the impact of a mental health recovery programme that used therapeutic horticulture as an intervention to reduce social inclusion and improve engagement for people with mental health problems.
Methods: A mixed-methods approach was used and data from four semi-structured focus group interviews, 11 exit interviews and 20 recovery star datasets were collected from September 2015 to October 2017. Qualitative data from the interviews were thematically analysed and quantitative data based on a recovery star outcomes tool were analysed using descriptive statistics to demonstrate trends and progression. The findings were then triangulated to provide a rich picture of the impact of the mental health recovery programme.
Results: The recovery star data indicated that participants were working towards self-reliance. Qualitative data from the exit interview and semi-structured focus groups found similar results. The triangulated findings highlight that the mental health recovery programme enabled participant
integration into the community through providing a space to grow and build self-confidence while re-engaging with society. The results suggest that using therapeutic horticulture as an intervention within the mental health recovery programme can support people with mental health problems to re-engage socially. Nature-based activities could be used within the ‘social prescribing’ movement to encourage partnership working between the NHS and voluntary sector organisations which
can complement existing mental health services
Field theory fo charged fluids and colloids
A systematic field theory is presented for charged systems. The one-loop
level corresponds to the classical Debye-H\"uckel (DH) theory, and exhibits the
full hierarchy of multi-body correlations determined by pair-distribution
functions given by the screened DH potential. Higher-loop corrections can lead
to attractive pair interactions between colloids in asymmetric ionic
environments. The free energy follows as a loop-wise expansion in half-integer
powers of the density; the resulting two-phase demixing region shows pronounced
deviations from DH theory for strongly charged colloids.Comment: 4 pages, 2 ps figs; new version corrects some minor typo
Transfer Entropy as a Log-likelihood Ratio
Transfer entropy, an information-theoretic measure of time-directed
information transfer between joint processes, has steadily gained popularity in
the analysis of complex stochastic dynamics in diverse fields, including the
neurosciences, ecology, climatology and econometrics. We show that for a broad
class of predictive models, the log-likelihood ratio test statistic for the
null hypothesis of zero transfer entropy is a consistent estimator for the
transfer entropy itself. For finite Markov chains, furthermore, no explicit
model is required. In the general case, an asymptotic chi-squared distribution
is established for the transfer entropy estimator. The result generalises the
equivalence in the Gaussian case of transfer entropy and Granger causality, a
statistical notion of causal influence based on prediction via vector
autoregression, and establishes a fundamental connection between directed
information transfer and causality in the Wiener-Granger sense
Stochastic thermodynamics of chemical reaction networks
For chemical reaction networks described by a master equation, we define
energy and entropy on a stochastic trajectory and develop a consistent
nonequilibrium thermodynamic description along a single stochastic trajectory
of reaction events. A first-law like energy balance relates internal energy,
applied (chemical) work and dissipated heat for every single reaction. Entropy
production along a single trajectory involves a sum over changes in the entropy
of the network itself and the entropy of the medium. The latter is given by the
exchanged heat identified through the first law. Total entropy production is
constrained by an integral fluctuation theorem for networks arbitrarily driven
by time-dependent rates and a detailed fluctuation theorem for networks in the
steady state. Further exact relations like a generalized Jarzynski relation and
a generalized Clausius inequality are discussed. We illustrate these results
for a three-species cyclic reaction network which exhibits nonequilibrium
steady states as well as transitions between different steady states.Comment: 14 pages, 2 figures, accepted for publication in J. Chem. Phy
Kinetic theory of age-structured stochastic birth-death processes
Classical age-structured mass-action models such as the McKendrick-von Foerster equation have been extensively studied but are unable to describe stochastic fluctuations or population-size-dependent birth and death rates. Stochastic theories that treat semi-Markov age-dependent processes using, e.g., the Bellman-Harris equation do not resolve a population's age structure and are unable to quantify population-size dependencies. Conversely, current theories that include size-dependent population dynamics (e.g., mathematical models that include carrying capacity such as the logistic equation) cannot be easily extended to take into account age-dependent birth and death rates. In this paper, we present a systematic derivation of a new, fully stochastic kinetic theory for interacting age-structured populations. By defining multiparticle probability density functions, we derive a hierarchy of kinetic equations for the stochastic evolution of an aging population undergoing birth and death. We show that the fully stochastic age-dependent birth-death process precludes factorization of the corresponding probability densities, which then must be solved by using a Bogoliubov-–Born–-Green–-Kirkwood-–Yvon-like hierarchy. Explicit solutions are derived in three limits: no birth, no death, and steady state. These are then compared with their corresponding mean-field results. Our results generalize both deterministic models and existing master equation approaches by providing an intuitive and efficient way to simultaneously model age- and population-dependent stochastic dynamics applicable to the study of demography, stem cell dynamics, and disease evolution
Phonon Life-times from first principles self consistent lattice dynamics
Phonon lifetime calculations from first principles usually rely on time
consuming molecular dynamics calculations, or density functional perturbation
theory (DFPT) where the zero temperature crystal structure is assumed to be
dynamically stable. Here a new and effective method for calculating phonon
lifetimes from first principles is presented, not limited to crystal structures
stable at 0 K, and potentially much more effective than most corresponding
molecular dynamics calculations. The method is based on the recently developed
self consistent lattice dynamical method and is here tested by calculating the
bcc phase phonon lifetimes of Li, Na, Ti and Zr, as representative examples.Comment: 4 pages, 4 figur
Hard-wall Potential Function for Transport Properties of Alkali Metals Vapor
This study demonstrates that the transport properties of alkali metals are
determined principally by the repulsive wall of the pair interaction potential
function. The (hard-wall) Lennard-Jones(15-6) effective pair potential function
is used to calculate transport collision integrals. Accordingly, reduced
collision integrals of K, Rb, and Cs metal vapors are obtained from
Chapman-Enskog solution of the Boltzman equation. The law of corresponding
states based on the experimental-transport reduced collision integral is used
to verify the validity of a LJ(15-6) hybrid potential in describing the
transport properties. LJ(8.5-4) potential function and a simple thermodynamic
argument with the input PVT data of liquid metals provide the required
molecular potential parameters. Values of the predicted viscosity of monatomic
alkali metals vapor are in agreement with typical experimental data with the
average absolute deviation 2.97% for K in the range 700-1500 K, 1.69% for Rb,
and 1.75% for Cs in the range 700-2000 K. In the same way, the values of
predicted thermal conductivity are in agreement with experiment within 2.78%,
3.25%, and 3.63% for K, Rb, and Cs, respectively. The LJ(15-6) hybrid potential
with a hard-wall repulsion character conclusively predicts best transport
properties of the three alkali metals vapor.Comment: 21 pages, 5 figures, 41 reference
Aging, jamming, and the limits of stability of amorphous solids
Apart from not having crystallized, supercooled liquids can be considered as
being properly equilibrated and thus can be described by a few thermodynamic
control variables. In contrast, glasses and other amorphous solids can be
arbitrarily far away from equilibrium and require a description of the history
of the conditions under which they formed. In this paper we describe how the
locality of interactions intrinsic to finite-dimensional systems affects the
stability of amorphous solids far off equilibrium. Our analysis encompasses
both structural glasses formed by cooling and colloidal assemblies formed by
compression. A diagram outlining regions of marginal stability can be adduced
which bears some resemblance to the quasi-equilibrium replica meanfield theory
phase diagram of hard sphere glasses in high dimensions but is distinct from
that construct in that the diagram describes not true phase transitions but
kinetic transitions that depend on the preparation protocol. The diagram
exhibits two distinct sectors. One sector corresponds to amorphous states with
relatively open structures, the other to high density, more closely-packed
ones. The former transform rapidly owing to there being motions with no free
energy barriers; these motions are string-like locally. In the dense region,
amorphous systems age via compact activated reconfigurations. The two regimes
correspond, in equilibrium, to the collisional or uniform liquid and the so
called landscape regime, respectively. These are separated by a spinodal line
of dynamical crossovers. Owing to the rigidity of the surrounding matrix in the
landscape, high-density part of the diagram, a sufficiently rapid pressure
quench adds compressive energy which also leads to an instability toward
string-like motions with near vanishing barriers. (SEE REST OF ABSTRACT IN THE
ARTICLE.)Comment: submitted to J Phys Chem
Lattice Model for water-solute mixtures
A lattice model for the study of mixtures of associating liquids is proposed.
Solvent and solute are modeled by adapting the associating lattice gas (ALG)
model. The nature of interaction solute/solvent is controlled by tuning the
energy interactions between the patches of ALG model. We have studied three set
of parameters, resulting on, hydrophilic, inert and hydrophobic interactions.
Extensive Monte Carlo simulations were carried out and the behavior of pure
components and the excess properties of the mixtures have been studied. The
pure components: water (solvent) and solute, have quite similar phase diagrams,
presenting: gas, low density liquid, and high density liquid phases. In the
case of solute, the regions of coexistence are substantially reduced when
compared with both the water and the standard ALG models. A numerical procedure
has been developed in order to attain series of results at constant pressure
from simulations of the lattice gas model in the grand canonical ensemble. The
excess properties of the mixtures: volume and enthalpy as the function of the
solute fraction have been studied for different interaction parameters of the
model. Our model is able to reproduce qualitatively well the excess volume and
enthalpy for different aqueous solutions. For the hydrophilic case, we show
that the model is able to reproduce the excess volume and enthalpy of mixtures
of small alcohols and amines. The inert case reproduces the behavior of large
alcohols such as, propanol, butanol and pentanol. For last case (hydrophobic),
the excess properties reproduce the behavior of ionic liquids in aqueous
solution.Comment: 28 pages, 13 figure
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