Exploratory and dust-bathing behaviour in laying hens kept in commercial aviaries and furnished cages

The aim of the present thesis was to identify management factors that affect the extent of exploratory behaviour (ground pecking, scratching) as well as quantitative and qualitative as-pects of dust-bathing behaviour in laying hens kept in commercial furnished cages (‘small group housing’) and aviaries. Based on the results, it should be considered which management measures can be recommended for farmers to enhance hen welfare. The feasibility of direct observations of dust-bathing behaviour as well as video observations of exploratory and dust-bathing behaviour was tested in two aviaries. The direct observations were judged to be unfeasible under the conditions encountered. For the analysis of the video recordings, different sampling intervals for instantaneous scan sampling, different extents of observation time, and intra- and inter-observer reliabilities were compared and the most ap-propriate observation scheme selected. Applying the selected scheme (observing the first 16 minutes of every hour distributed over two consecutive light days with a sample interval of two minutes), within the range of environmental conditions found in 22 aviaries, pecking, scratching and dust-bathing behaviour was performed on average 25, 2 and 7 % of the obser-vation time. Hen numbers in the litter were positively associated with stocking density and group size. More scratching was performed with increasing litter height as well as in humid litter. If no litter had been provided, thus substrate consisted of dust and faeces, a reduced proportion of dust-bathing was found. The same method was then used in 16 furnished cage systems. On average 12 % of the total hen number were found on the scratching mats. The hens spent 8 % of the observed time pecking at the mat, 4 % dust-bathing and 0.4 % scratch-ing. Higher proportions were found on the mats and more dust-bathing behaviour occurred, if substrate was provided. Also with increasing light intensity and stocking density more hens were observed on the mats. More pecking and scratching occurred in conditions of higher stocking density, probably due to social facilitation, and of increased mat area per hen. With increasing mat numbers per cage less pecking was observed. Wider mats led to increased dust-bathing behaviour. Finally, 129 dust-baths recorded in 17 aviaries were analysed in detail. On average they lasted 17 minutes, with the tossing phase taking 69 % of this time, including on average 2 vertical wing shakes and 3 scratches with one leg per minute tossing phase. Dust-bath duration de-creased with increasing litter height. Litter type influenced all recorded parameters: dust-bath duration was highest on straw and lowest on fine material and fine material mixed with straw, where on both also the proportion of the tossing phase was lowest. The number of vertical wing shakes during the dust-bath was highest on straw and lowest on fine material mixed with straw as against the frequency of vertical wing shaking that was lowest on straw and highest on fine material. If dust-bathing hens were disturbed twice or more, dust-bathing duration decreased. With increasing light intensity a decreased proportion of the tossing phase as well as a reduced number of vertical wing shakes were recorded. Possibly the light stimulated the hens to dust-bath more often with less tossing behaviour per performance. The observed variation of the dust-bathing parameters could reflect successful adaptation or frustration of the hens. The litter and light conditions on the investigated farms were predominantly restrictive in terms of stimulation of exploration and dust-bathing behaviour. Thus, it was only possible to analyse possible associations between these factors and exploration and dust-bathing behav-iour within the range found. Based on the results the following management recommendations can be given: To allow hens in furnished cages more normal activity, substrate availability should be improved and mat space and light intensity increased. With regard to aviaries as well litter availability should be improved. Litter height should not be too low. Disturbances during dust-bathing should be prevented, but no influencing factors could be identified.

Development and applications of density matrix functional theory of generalized Hubbard Models

In dieser Doktorarbeit wird eine akkurate Methode zur Bestimmung von Grundzustandseigenschaften stark korrelierter Elektronen im Rahmen von Gittermodellen entwickelt und angewandt. In der Dichtematrix-Funktional-Theorie (LDFT, vom englischen lattice density functional theory) ist die Ein-Teilchen-Dichtematrix γ die fundamentale Variable. Auf der Basis eines verallgemeinerten Hohenberg-Kohn-Theorems ergibt sich die Grundzustandsenergie Egs[γgs] = min° E[γ] durch die Minimierung des Energiefunktionals E[γ] bezüglich aller physikalischer bzw. repräsentativer γ. Das Energiefunktional kann in zwei Beiträge aufgeteilt werden: Das Funktional der kinetischen Energie T[γ], dessen lineare Abhängigkeit von γ genau bekannt ist, und das Funktional der Korrelationsenergie W[γ], dessen Abhängigkeit von γ nicht explizit bekannt ist. Das Auffinden präziser Näherungen für W[γ] stellt die tatsächliche Herausforderung dieser These dar. Einem Teil dieser Arbeit liegen vorausgegangene Studien zu Grunde, in denen eine Näherung des Funktionals W[γ] für das Hubbardmodell, basierend auf Skalierungshypothesen und exakten analytischen Ergebnissen für das Dimer, hergeleitet wird. Jedoch ist dieser Ansatz begrenzt auf spin-unabhängige und homogene Systeme. Um den Anwendungsbereich von LDFT zu erweitern, entwickeln wir drei verschiedene Ansätze zur Herleitung von W[γ], die das Studium von Systemen mit gebrochener Symmetrie ermöglichen. Zuerst wird das bisherige Skalierungsfunktional erweitert auf Systeme mit Ladungstransfer. Eine systematische Untersuchung der Abhängigkeit des Funktionals W[γ] von der Ladungsverteilung ergibt ähnliche Skalierungseigenschaften wie für den homogenen Fall. Daraufhin wird eine Erweiterung auf das Hubbardmodell auf bipartiten Gittern hergeleitet und an sowohl endlichen als auch unendlichen Systemen mit repulsiver und attraktiver Wechselwirkung angewandt. Die hohe Genauigkeit dieses Funktionals wird aufgezeigt. Es erweist sich jedoch als schwierig, diesen Ansatz auf komplexere Systeme zu übertragen, da bei der Berechnung von W[γ] das System als ganzes betrachtet wird. Um dieses Problem zu bewältigen, leiten wir eine weitere Näherung basierend auf lokalen Skalierungseigenschaften her. Dieses Funktional ist lokal bezüglich der Gitterplätze formuliert und ist daher anwendbar auf jede Art von geordneten oder ungeordneten Hamiltonoperatoren mit lokalen Wechselwirkungen. Als Anwendungen untersuchen wir den Metall-Isolator-Übergang sowohl im ionischen Hubbardmodell in einer und zwei Dimensionen als auch in eindimensionalen Hubbardketten mit nächsten und übernächsten Nachbarn. Schließlich entwickeln wir ein numerisches Verfahren zur Berechnung von W[γ], basierend auf exakten Diagonalisierungen eines effektiven Vielteilchen-Hamilton-Operators, welcher einen von einem effektiven Medium umgebenen Cluster beschreibt. Dieser effektive Hamiltonoperator hängt von der Dichtematrix γ ab und erlaubt die Herleitung von Näherungen an W[γ], dessen Qualität sich systematisch mit steigender Clustergröße verbessert. Die Formulierung ist spinabhängig und ermöglicht eine direkte Verallgemeinerung auf korrelierte Systeme mit mehreren Orbitalen, wie zum Beispiel auf den spd-Hamilton-Operator. Darüber hinaus berücksichtigt sie die Effekte kurzreichweitiger Ladungs- und Spinfluktuationen in dem Funktional. Für das Hubbardmodell wird die Genauigkeit der Methode durch Vergleich mit Bethe-Ansatz-Resultaten (1D) und Quanten-Monte-Carlo-Simulationen (2D) veranschaulicht. Zum Abschluss wird ein Ausblick auf relevante zukünftige Entwicklungen dieser Theorie gegeben.

Theoretical study of magnetism, structure and chemical order in transition-metal alloy clusters

Research on transition-metal nanoalloy clusters composed of a few atoms is fascinating by their unusual properties due to the interplay among the structure, chemical order and magnetism. Such nanoalloy clusters, can be used to construct nanometer devices for technological applications by manipulating their remarkable magnetic, chemical and optical properties. Determining the nanoscopic features exhibited by the magnetic alloy clusters signifies the need for a systematic global and local exploration of their potential-energy surface in order to identify all the relevant energetically low-lying magnetic isomers. In this thesis the sampling of the potential-energy surface has been performed by employing the state-of-the-art spin-polarized density-functional theory in combination with graph theory and the basin-hopping global optimization techniques. This combination is vital for a quantitative analysis of the quantum mechanical energetics. The first approach, i.e., spin-polarized density-functional theory together with the graph theory method, is applied to study the Fe$_m$Rh$_n$ and Co$_m$Pd$_n$ clusters having $N = m+n \leq 8$ atoms. We carried out a thorough and systematic sampling of the potential-energy surface by taking into account all possible initial cluster topologies, all different distributions of the two kinds of atoms within the cluster, the entire concentration range between the pure limits, and different initial magnetic configurations such as ferro- and anti-ferromagnetic coupling. The remarkable magnetic properties shown by FeRh and CoPd nanoclusters are attributed to the extremely reduced coordination number together with the charge transfer from 3$d$ to 4$d$ elements. The second approach, i.e., spin-polarized density-functional theory together with the basin-hopping method is applied to study the small Fe$_6$, Fe$_3$Rh$_3$ and Rh$_6$ and the larger Fe$_{13}$, Fe$_6$Rh$_7$ and Rh$_{13}$ clusters as illustrative benchmark systems. This method is able to identify the true ground-state structures of Fe$_6$ and Fe$_3$Rh$_3$ which were not obtained by using the first approach. However, both approaches predict a similar cluster for the ground-state of Rh$_6$. Moreover, the computational time taken by this approach is found to be significantly lower than the first approach. The ground-state structure of Fe$_{13}$ cluster is found to be an icosahedral structure, whereas Rh$_{13}$ and Fe$_6$Rh$_7$ isomers relax into cage-like and layered-like structures, respectively. All the clusters display a remarkable variety of structural and magnetic behaviors. It is observed that the isomers having similar shape with small distortion with respect to each other can exhibit quite different magnetic moments. This has been interpreted as a probable artifact of spin-rotational symmetry breaking introduced by the spin-polarized GGA. The possibility of combining the spin-polarized density-functional theory with some other global optimization techniques such as minima-hopping method could be the next step in this direction. This combination is expected to be an ideal sampling approach having the advantage of avoiding efficiently the search over irrelevant regions of the potential energy surface.