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N-body simulations of cohesion in dense planetary rings:A study of cohesion parameters
Planetary rings Saturn, Rings Tides, Solid body Ices, Mechanical properties Collisional physics
2015/12/25
We present results from a large suite of simulations of Saturn’s dense A and B rings using a new model of particle sticking in local simulations (Perrine, R.P., Richardson, D.C., Scheeres, D.J. [2011]...
A numerical model of cohesion in planetary rings
Planetary rings Saturn, Rings Rotational dynamics Tides, Solid body Ices, Mechanical properties Collisional physics
2015/12/25
We present a numerical method that incorporates particle sticking in simulations using the N-body code pkdgrav to study motions in a local rotating frame, such as a patch of a planetary ring. Particle...
AN ANALYTIC PARAMETERIZATION OF SELF-GRAVITY WAKES IN SATURN’S RINGS, WITH APPLICATION TO OCCULTATIONS AND PROPELLERS
planets and satellites individual (Saturn)–planets and satellites rings
2015/12/25
We have developed a semianalytic method of parameterizing N-body simulations of self-gravity wakes in Saturn’s rings, describing their photometric properties by means of only six numbers: three optica...
EQUIVARIANT FLOW EQUIVALENCE FOR SHIFTS OF FINITE TYPE,BY MATRIX EQUIVALENCE OVER GROUP RINGS
EQUIVARIANT FLOW EQUIVALENCE SHIFTS OF FINITE TYPE MATRIX EQUIVALENCE OVER GROUP RINGS
2015/9/29
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
Oxygen isotopes as a valuable tool for measuring annual growth in tropical trees that lack distinct annual rings
tropical tree with non-distinct annual rings cellulose oxygen isotopes fractionation model Styrax tonkinensis Ficus semicordata var. semicordata
2017/4/11
Some trees from tropical areas lack visually detectable and consistent annual growth rings. As such, we have measured
the radial variation of cellulose oxygen isotopes in trees that grow in seasonall...
Optimal fold symmetry of LH2 rings on a photosynthetic membrane
LH2 rings a photosynthetic membrane
2014/9/24
An intriguing observation of photosynthetic light-harvesting systems is theN-fold symmetry of light-harvesting complex 2 (LH2) of purple bacteria. We calculate the optimal rotational configuration of ...
Topologizing Rings of Map Germs: An Order Theoretic Analysis of Germs via Nonstandard Methods
map germ topology nonstandard
2012/6/19
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent...
Large self-injective rings and the generating hypothesis
Large self-injective rings the generating hypothesis Algebraic Topology
2012/6/9
We construct a number of different examples of non-Noetherian graded rings that are injective as modules over themselves (or have some related but weaker properties). We discuss how these are related ...
Synchronous phase-demodulation of concentric-rings Placido mires in corneal topography and wavefront aberrometry (theoretical considerations)
Synchronous phase-demodulation concentric-rings Placido mires corneal topography wavefront aberrometry Optics
2012/4/20
This paper presents a digital interferometric method to demodulate Placido fringe patterns. This method uses a computer-stored conic-wavefront as reference carrier. Even though, Placido mires are wide...
Brauer's generalized decomposition numbers and universal deformation rings
Universal deformation rings Brauer’s generalized decomposition numbers tame blocks dihedral defect groups semidihedral defect groups
2012/4/17
We study the problem of lifting to local rings certain mod 2 representations V of finite groups G which belong to 2-modular tame blocks B of G having at least two isomorphism classes of simple modules...
Nuclear Rings in Galaxies---A Kinematic Perspective
Nuclear Rings Galaxies---A Kinematic Perspective
2011/10/19
We combine DensePak integral field unit and TAURUS Fabry-Perot observations of 13 nuclear rings to show an interconnection between the kinematic properties of the rings and their resonant origin. The ...
On the Koszul property of toric face rings
Koszul property toric face rings Commutative Algebra
2011/9/19
Abstract: Toric face rings is a generalization of the concepts of affine semigroup rings and Stanley-Reisner rings. We characterize toric face rings having the Koszul, strongly Koszul or initially Kos...
Quantum Monte Carlo facing the Hartree-Fock symmetry dilemma: The case of hydrogen rings
Quantum Monte Carlo Hartree-Fock hydrogen rings
2011/8/5
Abstract: When using Hartree-Fock (HF) trial wave functions in quantum Monte Carlo calculations, one faces, in case of HF instabilities, the HF symmetry dilemma in choosing between the symmetry-adapte...
Vanishing of Tate homology and depth formulas over local rings
AB ring complete intersection ring depth formula Gorenstein ring rigidity of Tor Tate homology
2011/9/9
Abstract: Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth(M \otimes N) = depth(M) + depth(N) - depth(R),
has been generalized in several directions ...
The Kaplansky condition and rings of almost stable range 1
almost stable range 1 elementary divisor ring Kaplansky condition K-Hermite stable range
2011/9/9
Abstract: We present some variants of the Kaplansky condition for a K-Hermite ring $R$ to be an elementary divisor ring; for example, a commutative K-Hermite ring $R$ is an EDR iff for any elements $x...