Coherent quantum Boltzmann equations from cQPA

We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in new spectral solutions at off-shell momenta. We derive explicit forms for the cQPA propagators in the homogeneous background and show that the collision integrals involving the new coherence propagators need to be resummed to all orders in gradient expansion. We perform this resummation and derive generalized momentum space Feynman rules including coherent propagators and modified vertex rules for a Yukawa interaction. As a result we are able to set up self-consistent quantum Boltzmann equations for both fermion and scalar fields. We present several examples of diagrammatic calculations and numerical applications including a simple toy model for coherent baryogenesis.

Neutrinos and Thermal Leptogenesis

One of the unanswered questions of modern cosmology is the issue of baryogenesis. Why does the universe contain a huge amount of baryons but no antibaryons? What kind of a mechanism can produce this kind of an asymmetry? One theory to explain this problem is leptogenesis. In the theory right-handed neutrinos with heavy Majorana masses are added to the standard model. This addition introduces explicit lepton number violation to the theory. Instead of producing the baryon asymmetry directly, these heavy neutrinos decay in the early universe. If these decays are CP-violating, then they produce lepton number. This lepton number is then partially converted to baryon number by the electroweak sphaleron process. In this work we start by reviewing the current observational data on the amount of baryons in the universe. We also introduce Sakharov's conditions, which are the necessary criteria for any theory of baryogenesis. We review the current data on neutrino oscillation, and explain why this requires the existence of neutrino mass. We introduce the different kinds of mass terms which can be added for neutrinos, and explain how the see-saw mechanism naturally explains the observed mass scales for neutrinos motivating the addition of the Majorana mass term. After introducing leptogenesis qualitatively, we derive the Boltzmann equations governing leptogenesis, and give analytical approximations for them. Finally we review the numerical solutions for these equations, demonstrating the capability of leptogenesis to explain the observed baryon asymmetry. In the appendix simple Feynman rules are given for theories with interactions between both Dirac- and Majorana-fermions and these are applied at the tree level to calculate the parameters relevant for the theory.

Where and how to conserve: Extending the scope of spatial reserve network design

Ongoing habitat loss and fragmentation threaten much of the biodiversity that we know today. As such, conservation efforts are required if we want to protect biodiversity. Conservation budgets are typically tight, making the cost-effective selection of protected areas difficult. Therefore, reserve design methods have been developed to identify sets of sites, that together represent the species of conservation interest in a cost-effective manner. To be able to select reserve networks, data on species distributions is needed. Such data is often incomplete, but species habitat distribution models (SHDMs) can be used to link the occurrence of the species at the surveyed sites to the environmental conditions at these locations (e.g. climatic, vegetation and soil conditions). The probability of the species occurring at unvisited location is next predicted by the model, based on the environmental conditions of those sites. The spatial configuration of reserve networks is important, because habitat loss around reserves can influence the persistence of species inside the network. Since species differ in their requirements for network configuration, the spatial cohesion of networks needs to be species-specific. A way to account for species-specific requirements is to use spatial variables in SHDMs. Spatial SHDMs allow the evaluation of the effect of reserve network configuration on the probability of occurrence of the species inside the network. Even though reserves are important for conservation, they are not the only option available to conservation planners. To enhance or maintain habitat quality, restoration or maintenance measures are sometimes required. As a result, the number of conservation options per site increases. Currently available reserve selection tools do however not offer the ability to handle multiple, alternative options per site. This thesis extends the existing methodology for reserve design, by offering methods to identify cost-effective conservation planning solutions when multiple, alternative conservation options are available per site. Although restoration and maintenance measures are beneficial to certain species, they can be harmful to other species with different requirements. This introduces trade-offs between species when identifying which conservation action is best applied to which site. The thesis describes how the strength of such trade-offs can be identified, which is useful for assessing consequences of conservation decisions regarding species priorities and budget. Furthermore, the results of the thesis indicate that spatial SHDMs can be successfully used to account for species-specific requirements for spatial cohesion - in the reserve selection (single-option) context as well as in the multi-option context. Accounting for the spatial requirements of multiple species and allowing for several conservation options is however complicated, due to trade-offs in species requirements. It is also shown that spatial SHDMs can be successfully used for gaining information on factors that drive a species spatial distribution. Such information is valuable to conservation planning, as better knowledge on species requirements facilitates the design of networks for species persistence. This methods and results described in this thesis aim to improve species probabilities of persistence, by taking better account of species habitat and spatial requirements. Many real-world conservation planning problems are characterised by a variety of conservation options related to protection, restoration and maintenance of habitat. Planning tools therefore need to be able to incorporate multiple conservation options per site, in order to continue the search for cost-effective conservation planning solutions. Simultaneously, the spatial requirements of species need to be considered. The methods described in this thesis offer a starting point for combining these two relevant aspects of conservation planning.

Adaptive tree multigrids and simplified spherical harmonics approximation in deterministic neutral and charged particle transport

A new deterministic three-dimensional neutral and charged particle transport code, MultiTrans, has been developed. In the novel approach, the adaptive tree multigrid technique is used in conjunction with simplified spherical harmonics approximation of the Boltzmann transport equation. The development of the new radiation transport code started in the framework of the Finnish boron neutron capture therapy (BNCT) project. Since the application of the MultiTrans code to BNCT dose planning problems, the testing and development of the MultiTrans code has continued in conventional radiotherapy and reactor physics applications. In this thesis, an overview of different numerical radiation transport methods is first given. Special features of the simplified spherical harmonics method and the adaptive tree multigrid technique are then reviewed. The usefulness of the new MultiTrans code has been indicated by verifying and validating the code performance for different types of neutral and charged particle transport problems, reported in separate publications.

Coherent quasiparticle approximation cQPA and nonlocal coherence

We show that the dynamical Wigner functions for noninteracting fermions and bosons can have complex singularity structures with a number of new solutions accompanying the usual mass-shell dispersion relations. These new shell solutions are shown to encode the information of the quantum coherence between particles and antiparticles, left and right moving chiral states and/or between different flavour states. Analogously to the usual derivation of the Boltzmann equation, we impose this extended phase space structure on the full interacting theory. This extension of the quasiparticle approximation gives rise to a self-consistent equation of motion for a density matrix that combines the quantum mechanical coherence evolution with a well defined collision integral giving rise to decoherence. Several applications of the method are given, for example to the coherent particle production, electroweak baryogenesis and study of decoherence and thermalization.

Gadamers hermeneutik och naturvetenskaplig experimentering

I detta arbete undersöks naturvetenskaplig kunskap ur ett filosofiskt perspektiv. Arbetets centrala ämne är det naturvetenskapliga experimenterandets praktiska aspekter och deras anknytningar till den teoretiska naturvetenskapliga kunskapen. Ämnet behandlas med hjälp av Hans-Georg Gadamers hermeneutiska filosofi i boken Wahrheit und Methode. Gadamers utgångspunkt i denna bok är att hermeneutiken beskriver vad som händer i texttolkning då en tolkare förstår en skriven text, men han antyder också att hermeneutiken har vidare tillämpningsområden, till och med att den universalt beskriver alla former av mänsklig förståelse. Syftet med detta arbete är att undersöka hur Gadamers hermeneutik kan tillämpas på naturvetenskaplig förståelse och vilka ändringar man då måste införliva i hermeneutiken samt att skissa grunddragen för en hermeneutisk modell av naturvetenskaplig kunskap. I arbetet presenteras först de centrala elementen i Gadamers hermeneutiska filosofi, speciellt föromdömens positiva inverkan på tolkandet och den verkningshistoriska effekten bakom varje tolkning. Sedan diskuteras bristerna i Gadamers argument för hermeneutikens universalitet, speciellt hans starka betoning av språket som grunden för all förståelse. Om Gadamers hermeneutik skall kunna tillämpas på naturvetenskapens område måste även observationer kunna vara föremål för tolkning. De dominanta trenderna i vetenskapsfilosofin då Gadamer skrev Wahrheit und Methode är en förklaring till att Gadamer starkt förbinder sig till textförståelsen och oftast diskuterar den naturvetenskapliga kunskapen endast som en negativ motpol till den humanvetenskapliga. Vetenskapsfilosofins utveckling efter Wahrheit und Methode, speciellt det faktum att fullständig objektivitet inte mera anses vara ett realistiskt ideal, höjer förväntningarna på hermeneutikens värde för naturvetenskapernas filosofi. Till följande diskuteras tre bidrag till naturvetenskapernas filosofi som är speciellt värdefulla för en hermeneutiken. Den första av dessa är Sylvain Brombergers analys av ovisshet i vetenskapliga undersökningar. Bromberger hävdar att vetenskaplig forskning riktas mot frågor vars svar forskaren inte kan föreställa sig på förhand. Brombergers analys tyder på att det finns en hermeneutisk dialektik av frågor och svar i naturvetenskapliga experiment där forskaren strävar till att göra observationer för att besvara sina frågor. Det andra bidraget är Michael Polanyis studie av den praktiska och personliga kunskapens betydelse för all vetenskaplig forskning. Här är speciellt det vetenskapliga språkets utveckling i samband med experimentering av intresse. Det tredje bidraget är Robert Creases studie av experimentella observationer som visar att observationstolkning innefattar många element som kan förknippas med hermeneutiken. Analysen av de tre ovannämnda studierna leder till följande slutsatser. Den naturvetenskapliga forskningens hermeneutiska element förväntas vara starkt framför allt i experimentell forskning där forskaren utreder nya frågor i en kontinuerlig dialog av tekniskt prövande, praktisk identifiering och språklig beskrivning av nya fenomen. Speciellt beaktansvärd är skillnaden mellan verifierande och upptäckande naturvetenskapliga undersökningar. Tidigare resultat kan verifieras med hjälp av mätningar som specificeras på förhand, men ingen kan på förhand specificera de tekniska och språkliga steg som krävs för ett framgångsrikt upptäckande experiment. Experimentella upptäckter kräver därför en praktisk kunskap som inte kan reduceras till ren teori eller metodologi. Denna praktiska kunskap kan beskrivas med hjälp av Gadamers hermeneutik. Till sist diskuteras vissa grundläggande drag som kan sägas vara karakteristiska för en hermeneutisk modell av naturvetenskaplig kunskap. Speciellt den naturvetenskapliga kunskapens historiska natur, fördomarnas betydelse i naturvetenskaplig forskning samt vikten av forskarens personliga perspektiv i den naturvetenskapliga observationen är viktiga stöttestenar som gör att den hermeneutiska naturvetenskapsmodellen skiljer sig betydligt från modeller som betonar naturvetenskapernas objektivitet. Men det hermeneutiska perspektivet utesluter inte nödvändigtvis andra perspektiv. Dess huvudsakliga nytta är att den tillåter oss att undersöka sidor av naturvetenskaplig kunskap som objektivitetsbetonande modeller lämnar alltför mycket i skymundan. Till dessa hör speciellt det praktiska arbetet i naturvetenskaplig experimentering.