7,114 research outputs found
On the equivalence between stochastic baker's maps and two-dimensional spin systems
We show that there is a class of stochastic baker's transformations that is
equivalent to the class of equilibrium solutions of two-dimensional spin
systems with finite interaction. The construction is such that the equilibrium
distribution of the spin lattice is identical to the invariant measure in the
corresponding baker's transformation. We also find that the entropy of the spin
system is up to a constant equal to the rate of entropy production in the
corresponding stochastic baker's transformation. We illustrate the equivalence
by deriving two stochastic baker's maps representing the Ising model at a
temperature above and below the critical temperature, respectively. We
calculate the invariant measure of the stochastic baker's transformation
numerically. The equivalence is demonstrated by finding that the free energy in
the baker system is in agreement with analytic results of the two-dimensional
Ising model.Comment: 4 pages, 4 figure
Properties from relativistic coupled-cluster without truncation: hyperfine constants of , , and
We demonstrate an iterative scheme for coupled-cluster properties
calculations without truncating the dressed properties operator. For
validation, magnetic dipole hyperfine constants of alkaline Earth ions are
calculated with relativistic coupled-cluster and role of electron correlation
examined. Then, a detailed analysis of the higher order terms is carried out.
Based on the results, we arrive at an optimal form of the dressed operator.
Which we recommend for properties calculations with relativistic
coupled-cluster theory.Comment: 13 pages, 4 figures, 5 table
Convergence of all-order many-body methods: coupled-cluster study for Li
We present and analyze results of the relativistic coupled-cluster
calculation of energies, hyperfine constants, and dipole matrix elements for
the , , and states of Li atom. The calculations are
complete through the fourth order of many-body perturbation theory for energies
and through the fifth order for matrix elements and subsume certain chains of
diagrams in all orders. A nearly complete many-body calculation allows us to
draw conclusions on the convergence pattern of the coupled-cluster method. Our
analysis suggests that the high-order many-body contributions to energies and
matrix elements scale proportionally and provides a quantitative ground for
semi-empirical fits of {\em ab inito} matrix elements to experimental energies.Comment: 4 pages, 3 figure
The Material City: Potential for Urban Development in Mapping Material Processes, Erosion and Obsolescence in Helsinki
Urban development hinges on the availability of free space. The planned growth of Helsinki as reflected in the General plan of 2016 relies on identifying areas for infill in the urban fabric. In built-up areas there is a tendency to let the processes of urban change take place instead of top-down planning. This change is therefore not managed, but piecemeal, resulting in a patchwork of ‘stamp’ plans directed by narrow private economic considerations. The life-span of buildings varies according to their material composition – also the type of a building and its spatial configuration affect its vitality. These attributes and conditions play a part in how long a building can endure before confronting the need for radical changes, and can be aggregated from open-source data and modeled using historical referents as benchmarks. This information forms a layer of probabilities in the city, revealing dormant locations facing imminent change. By mapping the information of the material conditions on the topography of the city, we can identify potentials for development. Identifying these latent sites in the city and engaging proprietors and landowners would give new tools for the City to affect the change and renewal associated with turnover of the building stock
Fock space relativistic coupled-Cluster calculations of Two-Valence Atoms
We have developed an all particle Fock-space relativistic coupled-cluster
method for two-valence atomic systems. We then describe a scheme to employ the
coupled-cluster wave function to calculate atomic properties. Based on these
developments we calculate the excitation energies, magnetic hyperfine constants
and electric dipole matrix elements of Sr, Ba and Yb. Further more, we
calculate the electric quadrupole HFS constants and the electric dipole matrix
elements of Sr, Ba and Yb. For these we use the one-valence
coupled-cluster wave functions obtained as an intermediate in the two-valence
calculations. We also calculate the magnetic dipole hyperfine constants of
Yb.Comment: 23 pages, 12 figures, 10 tables typos are corrected and some minor
modifications in some of the section
Relativistic coupled-cluster calculations of Ne, Ar, Kr and Xe: correlation energies and dipole polarizabilities
We have carried out a detailed and systematic study of the correlation
energies of inert gas atoms Ne, Ar, Kr and Xe using relativistic many-body
perturbation theory and relativistic coupled-cluster theory. In the
relativistic coupled-cluster calculations, we implement perturbative triples
and include these in the correlation energy calculations. We then calculate the
dipole polarizability of the ground states using perturbed coupled-cluster
theory.Comment: 10 figures, 6 tables, submitted to PR
Probing CP violation with the electric dipole moment of atomic mercury
The electric dipole moment of atomic Hg induced by the nuclear Schiff
moment and tensor-pseudotensor electron-nucleus interactions has been
calculated. For this, we have developed and employed a novel method based on
the relativistic coupled-cluster theory. The results of our theoretical
calculations combined with the latest experimental result of Hg
electric dipole moment, provide new bounds on the T reversal or CP violation
parameters , the tensor-pseudotensor coupling constant
and . This is the most accurate
calculation of these parameters to date. We highlight the the crucial role of
electron correlation effects in their interplay with the P,T violating
interactions. Our results demonstrate substantial changes in the results of
earlier calculations of these parameters which can be attributed to the more
accurate inclusion of important correlation effects in the present work.Comment: 4 pages and 1 figur
Theoretical determination of lifetimes of metastable states in Sc III and Y III
Lifetimes of the first two metastable states in Sc^{2+} and Y^{2+} are
determined using the relativistic coupled-cluster theory. There is a
considerable interest in studying the electron correlation effects in these
ions as though their electronic configurations are similar to the neutral
alkali atoms, their structures are very different from the latter. We have made
a comparative study of the correlation trends between the above doubly ionized
systems with their corresponding neutral and singly ionized iso-electronic
systems. The lifetimes of the excited states of these ions are very important
in the field of astrophysics, especially for the study of post-main sequence
evolution of the cool giant stars.Comment: 13 pages, 1 figure and 5 table
Relativistic Coupled-Cluster Theory of Atomic Parity Nonconservation: Application to Ba
We report the result of our {\it ab initio} calculation of the parity nonconserving electric dipole transition amplitude in
based on relativistic coupled-cluster theory. Considering
single, double and partial triple excitations, we have achieved an accuracy of
less than one percent. If the accuracy of our calculation can be matched by the
proposed parity nonconservation experiment in Ba for the above
transition,then the combination of the two results would provide an independent
non accelerator test of the Standard Model of particle physics.Comment: 4 pages, 1 figure, Submitted to PR
State-insensitive trapping of Rb atoms: linearly versus circularly polarized lights
We study the cancellation of differential ac Stark shifts in the 5s and 5p
states of rubidium atom using the linearly and circularly polarized lights by
calculating their dynamic polarizabilities. Matrix elements were calculated
using a relativistic coupled-cluster method at the single, double and important
valence triple excitations approximation including all possible non-linear
correlation terms. Some of the important matrix elements were further optimized
using the experimental results available for the lifetimes and static
polarizabilities of atomic states. "Magic wavelengths" are determined from the
differential Stark shifts and results for the linearly polarized light are
compared with the previously available results. Possible scope of facilitating
state-insensitive optical trapping schemes using the magic wavelengths for
circularly polarized light are discussed. Using the optimized matrix elements,
the lifetimes of the 4d and 6s states of this atom are ameliorated.Comment: 13 pages, 13 tables and 4 figure
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