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Statistical, Nonlinear, and Soft Matter Physics Commons™
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Articles 1 - 5 of 5
Full-Text Articles in Statistical, Nonlinear, and Soft Matter Physics
Leveraging Redundancy As A Link Between Spreading Dynamics On And Of Networks, Felipe Xavier Costa
Leveraging Redundancy As A Link Between Spreading Dynamics On And Of Networks, Felipe Xavier Costa
Electronic Theses & Dissertations (2024 - present)
A constant quest in network science has been in the development of methods to identify the most relevant components in a dynamical system solely via the interaction structure amongst its subsystems. This information allows the development of control and intervention strategies in biochemical signaling and epidemic spreading. We highlight the relevant components in heterogeneous dynamical system by their patterns of redundancy, which can connect how dynamics affect network topology and which pathways are necessary to spreading phenomena on networks. In order to measure the redundancies in a large class of empirical systems, we develop the backbone of directed networks methodology, …
Probability Distributions Of The Scalar Potential, Candace Mathews
Probability Distributions Of The Scalar Potential, Candace Mathews
Legacy Theses & Dissertations (2009 - 2024)
In the study of cosmological inflation, string theory and supersymmetry have motivated a wide range of possible inflationary models. These models can be parameterized by a scalar potential V, which is a function of N scalar fields, and determines cosmological parameters such as the vacuum stability and energy density. In principle, we can determine V through high energy physics, such as string theory. In practice, though we may not know the details of V we might have clues about a distribution of plausible V’s, which we can build statistics on to further analyze. The purpose of this thesis defense is …
Entropic Density Functional Theory : Entropic Inference And The Equilibrium State Of Inhomogeneous Fluids, Ahmad Yousefi
Entropic Density Functional Theory : Entropic Inference And The Equilibrium State Of Inhomogeneous Fluids, Ahmad Yousefi
Legacy Theses & Dissertations (2009 - 2024)
A unified formulation of the density functional theory is constructed on the foundations of entropic inference in both the classical and the quantum regimes. The theory is introduced as an application of entropic inference for inhomogeneous fluids in thermal equilibrium. It is shown that entropic inference reproduces the variational principle of DFT when informationabout expected density of particles is imposed. In the classical regime, this process introduces a family of trial density-parametrized probability distributions, and consequently a trial entropy, from which the preferred one is found using the method of Maximum Entropy (MaxEnt). In the quantum regime, similarly, the process …
The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek
The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek
Legacy Theses & Dissertations (2009 - 2024)
It has often been the case in history that the laws of physics have been used as the framework for understanding and implementing information processing. The tacit assumption is that the laws of physics are fundamental and that the notion of information is derived from these laws. Here we take the opposite view: the laws of physics are an application of the rules for processing information. The inferential framework of entropic dynamics (ED) has previously been developed by A. Caticha for the purposes of understanding and deriving quantum theory, in much the same way that E.T. Jaynes used the MaxEnt …
The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette
The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette
Legacy Theses & Dissertations (2009 - 2024)
This thesis synthesizes probability and entropic inference with Quantum Mechanics and quantum measurement [1-6]. It is shown that the standard and quantum relative entropies are tools \emph{designed} for the purpose of updating probability distributions and density matrices, respectively [1]. The derivation of the standard and quantum relative entropy are completed in tandem following the same inferential principles and design criteria. This provides the first design derivation of the quantum relative entropy while also reducing the number of required design criteria to two.