3,140 research outputs found
A stochastic model of the influence of buffer gas collisions on Mollow spectra
In this paper we consider the influence of collisional fluctuations on the
Mollow spectra of resonance fluorescence (RF). The fluctuations are taken into
account by a simple shift of the constant detuning, involved in a set of
optical Bloch equations by collision frequency noise which is modelled by a
two-step random telegraph signal (RTS). We consider in detail the Mollow
spectra for RF in the case of an arbitrary detuning of the laser frequency,
where the emitter is a member of a statistical ensemble in thermodynamic
equilibrium with the buffer gas at temperature which is treated as a
colored environment, and velocity is distributed with the Maxwell-Boltzmann
density
Multiple Quantum Phases in Graphene with Enhanced Spin-Orbit Coupling: From the Quantum Spin Hall Regime to the Spin Hall Effect and a Robust Metallic State
We report an intriguing transition from the quantum spin Hall phase to the
spin Hall effect upon segregation of thallium adatoms adsorbed onto a graphene
surface. Landauer-B\"uttiker and Kubo-Greenwood simulations are used to access
both edge and bulk transport physics in disordered thallium-functionalized
graphene systems of realistic sizes. Our findings not only quantify the
detrimental effects of adatom clustering in the formation of the topological
state, but also provide evidence for the emergence of spin accumulation at
opposite sample edges driven by spin-dependent scattering induced by thallium
islands, which eventually results in a minimum bulk conductivity , insensitive to localization effects
Pairing effect on the giant dipole resonance width at low temperature
The width of the giant dipole resonance (GDR) at finite temperature T in
Sn-120 is calculated within the Phonon Damping Model including the neutron
thermal pairing gap determined from the modified BCS theory. It is shown that
the effect of thermal pairing causes a smaller GDR width at T below 2 MeV as
compared to the one obtained neglecting pairing. This improves significantly
the agreement between theory and experiment including the most recent data
point at T = 1 MeV.Comment: 8 pages, 5 figures to be published in Physical Review
Agent-Based Modeling of Intracellular Transport
We develop an agent-based model of the motion and pattern formation of
vesicles. These intracellular particles can be found in four different modes of
(undirected and directed) motion and can fuse with other vesicles. While the
size of vesicles follows a log-normal distribution that changes over time due
to fusion processes, their spatial distribution gives rise to distinct
patterns. Their occurrence depends on the concentration of proteins which are
synthesized based on the transcriptional activities of some genes. Hence,
differences in these spatio-temporal vesicle patterns allow indirect
conclusions about the (unknown) impact of these genes.
By means of agent-based computer simulations we are able to reproduce such
patterns on real temporal and spatial scales. Our modeling approach is based on
Brownian agents with an internal degree of freedom, , that represents
the different modes of motion. Conditions inside the cell are modeled by an
effective potential that differs for agents dependent on their value .
Agent's motion in this effective potential is modeled by an overdampted
Langevin equation, changes of are modeled as stochastic transitions
with values obtained from experiments, and fusion events are modeled as
space-dependent stochastic transitions. Our results for the spatio-temporal
vesicle patterns can be used for a statistical comparison with experiments. We
also derive hypotheses of how the silencing of some genes may affect the
intracellular transport, and point to generalizations of the model
Integrable and superintegrable systems associated with multi-sums of products
We construct and study certain Liouville integrable, superintegrable, and
non-commutative integrable systems, which are associated with multi-sums of
products.Comment: 26 pages, submitted to Proceedings of the royal society
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