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.
Results
Showing 1 to 20 of 24 for “"continuum limit"”.
-
Continuum limit of lattice gas fluid dynamics
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Nuclear Engineering, 1992.
-
A continuum limit of a finite discrete nonlinear Schroedinger system
A continuum limit of a discrete nonlinear Schrodinger system of ordinary differential equations is analyzed. The central question is the relation between the solution of the formally derived limiting system of partial differential equations and the limiting behavior of the solutions to the discrete …
-
Travelling Wave Analysis of a Nonlinear Diffusion Equation
… region. In this thesis we consider the continuum limit of a model of an off-lattice, cell-based simulation of a contact-inhibited cell monolayer. Numerical solutions of the continuum model, which can be formulated as a nonlinear diffusion free boundary (nonlinear Stefan) problem, …
-
Classical hydrodynamics of Calogero-Sutherland models
… then directly obtain a classical hydrodynamical limit of both the spineless and spinful Calogero system. The continuum limit of the spinless system is known to exhibit solition solutions. We show numerically that the spinful system also exhibits localized solutions with the soliton property. This …
-
Supersymmetric quantum mechanics on n-dimensional manifolds
… path integral can be defined as the continuum limit of a discrete supersymmetric path integral. In Chapter 3 I show that point canonical transformations in the path integral for ordinary quantum mechanics can be performed naively provided one uses the supersymmetric path integral. …
-
Supersymmetric quantum mechanics on n-dimensional manifolds
… path integral can be defined as the continuum limit of a discrete supersymmetric path integral. In Chapter 3 I show that point canonical transformations in the path integral for ordinary quantum mechanics can be performed naively provided one uses the supersymmetric path integral. …
-
Manifoldlike Causal Sets
… problem has importance in the sense that in the continuum limit and in the case one finds a formalism for the sum over histories, the result requires to be embeddable in a manifold to be able to reproduce General Relativity. In what follows I will use the distribution of path length in a causal …
-
Anisotropic nonlinear PDE models and dynamical systems in biology
… interaction forces and their continuum counterpart. These models are motivated by the simulation of fingerprint databases, which are required in forensic science and biometric applications. In existing interacting particle models, the forces are isotropic and the continuum …
-
Chirality-dependent, van der Waals-London dispersion interactions of carbon nanotube systems
… Waals - London dispersion interactions in the continuum limit. It has many advantages over crude, pairwise potential models. Most notably, it can solve for complex interactions (e.g. repulsive and multi-body effects) and determine the vdW-Ld interaction magnitude and sign a priori from the …
-
Matings of negatively correlated trees with applications to Schnyder woods and bipolar orientations
… SLE curves and its application to the scaling limit theory of decorated random planar maps. We focus on the less investigated regime where the SLE parameter K is larger than 8. We obtain three main results. First, we identify the covariance of the Brownian motion in the Mating of Trees Theorem …
-
On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
… in 2002. By (formally) passing to the continuum limit, we obtain a system of partial differential equations. Some analytical properties, such as linear stability of stationary states, are examined and extensive numerical simulations show capabilities and limitations of the model in both …
-
Stability of Topological States and Crystalline Solids
… of their many-body energy gap in the effective continuum limit. We report evidence of stable states in this regime; comment on two cases associated with a bosonic integer quantum Hall effect; and find a modulation of the correlation function in higher Chern bands. We next examine the stability …
-
Aspects of the reflected entropy
… in this new spacetime. When we move to the continuum limit, we find a relation to the split property − the reflected entropy computes the von Neumann entropy of a canonical splitting type-I factor. In this limit, we show that the reflected entropy serves as a regulator for the UV divergent …
-
Constructing quantum spacetime
… establishing the connection to the classical continuum theory. The main focus of this thesis lies in the investigation of this relation for spin foam models. This is done on different levels of the discretisation / triangulation, ranging from few simplices up to the continuum limit. In the …
-
Thermal QCD on the lattice – from finite density to non-uniform magnetic fields
… Finally, we extrapolated the results to the continuum limit. In part (3), we demonstrated that the field induces a local electric current density in the equilibrated medium. We also introduced a new approximation technique -- based on a resummation of $B$-dependent expectation values into …
-
Mathematical models of soft elasticity: elastomers, active solids and topological metamaterials
… by the theory of elasticity, which uses a continuum field approach to capture universal features in the macroscopic physics of solids. Using this approach, we study three types of soft material, ranging from conventional to exotic. We begin in Part I with elastomers, which are used in many …
-
Counting degrees of freedom in quantum field theory using entanglement entropy
… entropy (REE) and show that it is finite in the continuum limit in a renormalizable field theory. We argue that it is most sensitive to degrees of freedom at a scale determined by the size of the entangling region, and interpolates between the ultraviolet and infrared RG fixed point vales. We …
-
Dynamics and precursor signs for phase transitions in neural systems
… neurons, a network of these, and a mean-field continuum limit) and in vitro experiments to address this question. Dynamically realistic equations of motion for thalamic relay neuron, reticular nuclei, cortical pyramidal and cortical interneuron in different vigilance states are developed, based …
-
New methods for Hamiltonian lattice theories
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-21T14:14:59Z No. of bitstreams: 1 1980_roomany.pdf: 2399306 bytes, checksum: 57351980df1520bc9ee8c6e969ae0b4f (MD5)
-
Strongly coupled fermions on the lattice
… lattice theory which have no counterpart in the continuum theory. This is a topological obstruction known as the Nielsen-Nimonoya theorem and can be proven to hold under assumptions of translation invariance, chiral invariance and hermiticity of the lattice Hamiltonian. One strategy that was …
Page 1 of 2