Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 17 of 17 for “"Master Equations"”.
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FROM TILINGS AND MASTER EQUATIONS TO MICROKINETIC MODELS
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
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Quantum dynamics in the condensed phase: path integrals, master equations and purity
… path integral methods in conjunction with master equation (GQME) methods and explore memory requirements of the different approaches. We show that while QuAPI and GQME have the same memory requirements, QCPI requires a much shorter quantum memory. This is associated with the ability of QCPI …
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Non-Markovian Dynamics of Open Quantum Systems
… The latter are fully characterized by Lindblad equations and can be motivated phenomenologically. Non-Markovian processes consistently account for backreaction with the environment and can incorporate effects such as finite temperature and spatial correlations. We consider linear systems with …
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Quantum correlations and thermal machines
… an external environment is often achieved with a master equation. When considering systems comprised of multiple subsystems, the description becomes more complicated and some of the master equations that have been used previously produce unphysical results. In the second part of this thesis we …
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Poisson representation methods for stochastic models of chemical reactions
A comprehensive discussion of the stochastic master equation approach to chemical reactions is presented. After a review of the various system size expansion methods that have been developed for an asymptotic solution of stochastic master equations, a new technique, the Poisson representation …
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A Theoretical Model Of Breast Tumor Metastases In The Context Of Tumor Dormancy
… the dissemination and tumor dormancy processes. Master equations underlying both clinical and biological processes are derived and solved. I use the model that integrates the natural history data and the epidemiological data to estimate the benefits of adjuvant treatment under the hypothesis of …
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Fluctuating surface currents : a new algorithm for efficient prediction of Casimir interactions among arbitrary materials in arbitrary geometries
… surfaces of the objects. We demonstrate that the master equations of the FSC approach arise as logical consequences of either of two seemingly disparate Casimir paradigms-the stress-tensor approach and the path-integral (or scattering) approach-and this work thus achieves an unexpected unification …
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Analytic Results for Hopping Models with Excluded Volume Constraint
… all other rates are identical. The structure of Master equations lead naturally to the introduction of a new entity, associated with the walker-impurity pair which we call the quasi-walker. Analytic solution for the distributions in the steady state limit is obtained. The velocities and diffusion …
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Dynamics of plasmon-induced hot carriers in metallic nanoparticles
… but smaller energies. After illumination, the master equations are employed to obtain the time-dependent evolution of carrier occupations in each quantum state,involving the electron-electron, electron-photon and electron-phonon in- teractions. The electron-electron relaxation is proved to be …
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Stochastic and physical modeling of fundamental biological processes
… model, described in terms of reaction-diffusion master equations, contains 1336 reactions and 251 species that dynamically couple transcription and translation to ribosome assembly. We use the Lattice Microbes software package to simulate the stochastic production of mRNA, proteins, and ribosome …
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Thermodynamic Based Framework for Determining Sustainable Electric Infrastructures as well as Modeling of Decoherence in Quantum Composite Systems
… Thermodynamics (QT) and its associated quantum master equations of the Kossakowski-Lindblad-Gorini-Sudarshan type.
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Electron Transport via Single Molecule Magnets with Magnetic Anisotropy
… transport properties are calculated by solving master equations at low temperature. Chapter 4 examines the exchange coupling between iron ions in EMACs [Fe2(mes)2(dpa)2] and [Fe4(tpda)3Cl2]. The exchange coupling constants are calculated by using the least-squares fitting method, based on the …
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Open quantum system theory from an information perspective
… expansions to second-order perturbative master equations, real-time path integral formulations, numerical realizations of high-dimensional tensor networks and, based on the most recent theoretical developments, machine learning implementations in the form of artificial neural networks. We …
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Analysis and optimal control of stochastic biological systems
… values and based upon ordinary differential equations that are exact only in the limit of large numbers. When a small number of molecules or a low number of individuals are accounted for discrete valued stochastic approaches are suitable. The tools to synthesize control laws and the …
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Chip-scale Photonic Devices for Light-matter Interactions and Quantum Information Processing
… experimentally and theoretically analyzed with master equations, which can be used as a great implementation platform for realizing future solid-state quantum computation. The third topic is quantum controlled phase gate and phase switching operations based on quantum dots and photonic crystal …
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Stochastic many-body problems in ecology, evolution, neuroscience, and systems biology
… systems described at the mesoscopic scale with master equations. I first apply this formalism to spatially-extended predator-prey ecosystems, resulting in the prediction that many-body correlations and fluctuations drive population cycles in time, called quasi-cycles. Most of these results were …
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Nonlinear dissipative dynamics of optomechanical and laser arrays
… fluctuations into account using the quantum master equation formalism. We show that the generation of synthetic electric fields is robust against fluctuations and unidirectional light transport can be achieved also in the quantum regime. In the second part of the thesis, we study topological …