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Statistical, Nonlinear, and Soft Matter Physics Commons™
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Articles 1 - 4 of 4
Full-Text Articles in Statistical, Nonlinear, and Soft Matter Physics
Dynamics Underlying The Gaussian Distribution Of The Classical Harmonic Oscillator In Zero-Point Radiation, Wayne Cheng-Wei Huang, Herman Batelaan
Dynamics Underlying The Gaussian Distribution Of The Classical Harmonic Oscillator In Zero-Point Radiation, Wayne Cheng-Wei Huang, Herman Batelaan
Department of Physics and Astronomy: Faculty Publications
Stochastic electrodynamics (SED) predicts a Gaussian probability distribution for a classical harmonic oscillator in the vacuum field. This probability distribution is identical to that of the ground state quantum harmonic oscillator. Thus, the Heisenberg minimum uncertainty relation is recovered in SED. To understand the dynamics that give rise to the uncertainty relation and the Gaussian probability distribution, we perform a numerical simulation and follow the motion of the oscillator. The dynamical information obtained through the simulation provides insight to the connection between the classic double-peak probability distribution and the Gaussian probability distribution. A main objective for SED research is to …
Directed Percolation And The Abstract Tile Assembly Model, Tyler Garrett Moore
Directed Percolation And The Abstract Tile Assembly Model, Tyler Garrett Moore
Graduate Theses and Dissertations
Self-assembly is a process by which simple components build complex structures through local interactions. Directed percolation is a statistical physical model for describing competitive spreading processes on lattices. The author describes an algorithm which can transform a tile assembly system in the abstract Tile Assembly Model into a directed percolation problem, and then shows simulations of the aTAM which support this algorithm. The author also investigates two new constructs designed for Erik Winfree's abstract Tile Assembly Model called the NULL tile and temperature 1.5. These constructs aid the translation between self-assembly and directed percolation and may assist self-assembly researchers in …
Equilibrating Temperaturelike Variables In Jammed Granular Subsystems, James G. Puckett, Karen E. Daniels
Equilibrating Temperaturelike Variables In Jammed Granular Subsystems, James G. Puckett, Karen E. Daniels
Physics and Astronomy Faculty Publications
Although jammed granular systems are athermal, several thermodynamiclike descriptions have been proposed which make quantitative predictions about the distribution of volume and stress within a system and provide a corresponding temperaturelike variable. We perform experiments with an apparatus designed to generate a large number of independent, jammed, two-dimensional configurations. Each configuration consists of a single layer of photoelastic disks supported by a gentle layer of air. New configurations are generated by cyclically dilating, mixing, and then recompacting the system through a series of boundary displacements. Within each configuration, a bath of particles surrounds a smaller subsystem of particles with a …
Electrical Current In Sinai Billiards Under General Small Forces, Pengfei Zhang
Electrical Current In Sinai Billiards Under General Small Forces, Pengfei Zhang
Pengfei Zhang
No abstract provided.