@phdthesis{CardosoBarato2010,
  author    = {Cardoso Barato, Andre},
  title     = {Nonequilibrium phase transitions and surface growth},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-50122},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2010},
  abstract  = {This thesis is concerned with the statistical physics of various systems far from thermal equilibrium, focusing on universal critical properties, scaling laws and the role of fluctuations. To this end we study several models which serve as paradigmatic examples, such as surface growth and non-equilibrium wetting as well as phase transitions into absorbing states. As a particular interesting example of a model with a non-conventional scaling behavior, we study a simplified model for pulsed laser deposition by rate equations and Monte Carlo simulations. We consider a set of equations, where islands are assumed to be point-like, as well as an improved one that takes the size of the islands into account. The first set of equations is solved exactly but its predictive power is restricted to the first few pulses. The improved set of equations is integrated numerically, is in excellent agreement with simulations, and fully accounts for the crossover from continuous to pulsed deposition. Moreover, we analyze the scaling of the nucleation density and show numerical results indicating that a previously observed logarithmic scaling does not apply. In order to understand the impact of boundaries on critical phenomena, we introduce particle models displaying a boundary-induced absorbing state phase transition. These are one-dimensional systems consisting of a single site (the boundary) where creation and annihilation of particles occur, while particles move diffusively in the bulk. We study different versions of these models and confirm that, except for one exactly solvable bosonic variant exhibiting a discontinuous transition with trivial exponents, all the others display a non-trivial behavior, with critical exponents differing from their mean-field values, representing a universality class. We show that these systems are related to a \$(0+1)\$-dimensional non-Markovian model, meaning that in nonequilibrium a phase transition can take place even in zero dimensions, if time long-range interactions are considered. We argue that these models constitute the simplest universality class of phase transition into an absorbing state, because the transition is induced by the dynamics of a single site. Moreover, this universality class has a simple field theory, corresponding to a zero dimensional limit of direct percolation with L{\'e}vy flights in time. Another boundary phenomena occurs if a nonequilibrium growing interface is exposed to a substrate, in this case a nonequilibrium wetting transition may take place. This transition can be studied through Langevin equations or discrete growth models. In the first case, the Kardar-Parisi-Zhang equation, which defines a very robust universality class for nonequilibrium moving interfaces, is combined with a soft-wall potential. While in the second, microscopic models, in the corresponding universality class, with evaporation and deposition of particles in the presence of hard-wall are studied. Equilibrium wetting is related to a particular case of the problem, corresponding to the Edwards-Wilkinson equation with a potential in the continuum approach or to the fulfillment of detailed balance in the microscopic models. In this thesis we present the analytical and numerical methods used to investigate the problem and the very rich behavior that is observed with them. The entropy production for a Markov process with a nonequilibrium stationary state is expected to give a quantitative measure of the distance form equilibrium. In the final chapter of this thesis, we consider a Kardar-Parisi-Zhang interface and investigate how entropy production varies with the interface velocity and its dependence on the interface slope, which are quantities that characterize how far the stationary state of the interface is away from equilibrium. We obtain results in agreement with the idea that the entropy production gives a measure of the distance from equilibrium. Moreover we use the same model to study fluctuation relations. The fluctuation relation is a symmetry in the large deviation function associated to the probability of the variation of entropy during a fixed time interval. We argue that the entropy and height are similar quantities within the model we consider and we calculate the Legendre transform of the large deviation function associated to the height for small systems. We observe that there is no fluctuation relation for the height, nevertheless its large deviation function is still symmetric.},
  subject      = {Nichtgleichgewichtsstatistik},
  language  = {en}
}
@phdthesis{Spaethe2001,
  author    = {Spaethe, Johannes},
  title     = {Sensory Ecology of Foraging in Bumblebees},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-1179692},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2001},
  abstract  = {Pollinating insects exhibit a complex behavior while foraging for nectar and pollen. Many studies have focused on ultimate mechanisms of this behavior, however, the sensory-perceptual processes that constrain such behavior have rarely been considered. In the present study I used bumblebees (Bombus terrestris), an important pollinating insect, to investigate possible sensory constraints on foraging behavior. Additionally, I survey inter-individual variation in the sensory capabilities and behavior of bumblebees caused by the pronounced size polymorphism among members of a single colony. In the first chapter I have focused on the sensory-perceptual processes that constrain the search for flowers. I measured search time for artificial flowers of various sizes and colors, a key variable defining the value of a prey type in optimal foraging theory. When flowers were large, search times correlate well with the color contrast of the targets with their green foliage-type background, as predicted by a model of color opponent coding using inputs from the bee's UV, blue, and green receptors. Targets which made poor color contrast with their backdrop, such as white, UV-reflecting ones, or red flowers, take longest to detect, even though brightness contrast with the background is pronounced. When searching for small targets, bumblebees change their strategy in several ways. They fly significantly slower and closer to the ground, so increasing the minimum detectable area subtended by an object on the ground. In addition they use a different neuronal channel for flower detection: instead of color contrast, they now employ only the green receptor signal for detection. I related these findings to temporal and spatial limitations of different neuronal channels involved in stimulus detection and recognition. Bumblebees do not only possess species-specific sensory capacities but they also exhibit inter-individual differences due to size. Therefore, in the next two chapters I have examined size-related effects on the visual and olfactory system of Bombus terrestris. Chapter two deals with the effect of scaling on eye architecture and spatial resolving power of workers. Foraging efficiency in bees is strongly affected by proficiency of detecting flowers. Both floral display size and bee spatial vision limit flower detection. In chapter one I have shown that search times for flowers strongly increases with decreasing floral display size. The second factor, bee spatial vision, is mainly limited by two properties of compound eyes: (a) the interommatidial angle {\c{C}}{\aa} and (b) the ommatidial acceptance angle {\c{C}}{\´a}. When a pollinator strives to increase the resolving power of its eyes, it is forced to increase both features simultaneously. Bumblebees show a large variation in body size. I found that larger workers with larger eyes possess more ommatidia and larger facet diameters. Large workers with twice the size of small workers (thorax width) have about 50 per cent more ommatidia, and a 1.5 fold enlarged facet diameter. In a behavioral test, large and small workers were trained to detect the presence of a colored stimulus in a Y-maze apparatus. The stimulus was associated with a sucrose reward and was presented in one arm, the other arm contained neither stimulus nor reward. The minimum visual angle a bee is able to detect was estimated by testing the bee at different stimuli sizes subtending angles between 30° and 3° on the bee's eye. Minimum visual detection angles range from 3.4° to 7.0° among tested workers. Larger bumblebees are able to detect objects subtending smaller visual angles, i.e. they are able to detect smaller objects than their small conspecifics. Thus morphological and behavioral findings indicate an improved visual system in larger bees. Beside vision, olfaction is the most important sensory modality while foraging in bees. Bumblebees utilize species-specific odors for detecting and identifying nectar and pollen rich flowers. In chapter three I have investigated the olfactory system of Bombus terrestris and the effect of scaling on antennal olfactory sensilla and the first olfactory neuropil in the bumblebee brain, the antennal lobes. I found that the pronounced size polymorphism exhibited by bumblebees also effects their olfactory system. Sensilla number (I measured the most common olfactory sensilla type, s. placodea), sensilla density, volume of antennal lobe neuropil and volume of single identified glomeruli correlate significantly with worker's size. The enlarged volume of the first olfactory neuropil in large individuals is caused by an increase in glomeruli volume and coarse neuropil volume. Additionally, beside an overall increase of brain volume with scaling I found that the olfactory neuropil increases disproportionately compared to a higher order neuropil, the central body. The data predict a higher odor sensitivity in larger bumblebee workers. In the last chapter I have addressed the question if scaling alters foraging behavior and rate in freely foraging bumblebees. I observed two freely foraging B. terrestris colonies and measured i) trip number, ii) trip time, iii) proportion of nectar trips, and iv) nectar foraging rate of different sized foragers. In all observation periods large foragers exhibit a significantly higher foraging rate than small foragers. None of the other three foraging parameters is affected by workers' size. Thus, large foragers contribute disproportionately more to the current nectar influx of their colony. To summarize, this study shows that understanding the mechanisms of visual information processing and additionally comprising inter-individual differences of sensory capabilities is crucial to interpret foraging behavior of bees.},
  subject      = {Hummeln},
  language  = {en}
}