46 research outputs found
Fast algorithm for topologically disordered lattices with constant coordination number
We present a stochastic algorithm for constructing a topologically disordered
(i.e., non-regular) spatial lattice with nodes of constant coordination number,
the CC lattice. The construction procedure dramatically improves on an earlier
proposal [Phys. Rev. E. 97, 022144 (2018)] with respect to both computational
complexity and finite-size scaling properties - making the CC lattice an
alternative to proximity graphs which, especially in higher dimensions, is
significantly faster to build. Among other applications, physical systems such
as certain amorphous materials with low concentration of coordination defects
are an important example of disordered, constant-coordination lattices in
nature. As a concrete application, we characterize the criticality of the 3D
Ising model on the CC lattice. We find that its phase transition belongs to the
clean Ising universality class, establishing that the disorder present in the
CC lattice is a non-relevant perturbation in the sense of renormalization group
theory.Comment: 9 pages, 8 figure
Picosecond ionization dynamics in femtosecond filaments at high pressures
We investigate the plasma dynamics inside a femtosecond-pulse-induced filament generated in an argon gas for a wide range of pressures up to 60 bar. At higher pressures, we observe ionization immediately following a pulse, with up to a threefold increase in the electron density within 30 ps after the filamentary propagation of a femtosecond pulse. Our study suggests that this picosecond evolution can be attributed to collisional ionization including Penning and associative ionizations and electron-impact ionization of excited atoms generated during the pulse. The dominance of excited atoms over ionized atoms at the end of the pulse also indicates an intrapulse inhibition of avalanche ionization. This delayed ionization dynamics provides evidence for diagnosing atomic and molecular excitation and ionization in intense laser interaction with high-pressure gases
Hypertiling -- a high performance Python library for the generation and visualization of hyperbolic lattices
Hypertiling is a high-performance Python library for the generation and
visualization of regular hyperbolic lattices embedded in the Poincar\'e disk
model. Using highly optimized, efficient algorithms, hyperbolic tilings with
millions of vertices can be created in a matter of minutes on a single
workstation computer. Facilities including computation of adjacent vertices,
dynamic lattice manipulation, refinements, as well as powerful plotting and
animation capabilities are provided to support advanced uses of hyperbolic
graphs. In this manuscript, we present a comprehensive exploration of the
package, encompassing its mathematical foundations, usage examples,
applications, and a detailed description of its implementation.Comment: 52 pages, 20 figure
Bright Coherent Ultrahigh Harmonics in the keV X-ray Regime from Mid-Infrared Femtosecond Lasers
High-harmonic generation (HHG) traditionally combines ~100 near-infrared laser photons to generate bright, phase-matched, extreme ultraviolet beams when the emission from many atoms adds constructively. Here, we show that by guiding a mid-infrared femtosecond laser in a high-pressure gas, ultrahigh harmonics can be generated, up to orders greater than 5000, that emerge as a bright supercontinuum that spans the entire electromagnetic spectrum from the ultraviolet to more than 1.6 kilo–electron volts, allowing, in principle, the generation of pulses as short as 2.5 attoseconds. The multiatmosphere gas pressures required for bright, phase-matched emission also support laser beam self-confinement, further enhancing the x-ray yield. Finally, the x-ray beam exhibits high spatial coherence, even though at high gas density the recolliding electrons responsible for HHG encounter other atoms during the emission process.The experimental work was funded by a National Security Science and Engineering Faculty Fellowship, and the NSF Center for EUV Science and Technology. A.G., A.J.-B., M.M.M., H.C.K. and A. Becker acknowledge support for theory from the U.S. Air Force Office of Scientific Research (grant no. FA9550-10-1-0561); A. Baltuška acknowledges support from Austrian Science Fund (FWF, grant no. U33-16) and the Austrian Research Promotion Agency (FFG, Project 820831 UPLIT); and C.H.-G. and L.P. acknowledge support from Junta de Castilla y León, Spanish MINECO (CSD2007-00013 and FIS2009-09522), and from Centro de Láseres Pulsados, CLPU. T.P., M.-C.C., A. Bahabad, M.M.M. and H.C.K. have filed for a patent on “Method for phase-matched generation of coherent soft and hard X-rays using IR lasers,” U.S. patent application 61171783 (2008)
Lawson criterion for ignition exceeded in an inertial fusion experiment
For more than half a century, researchers around the world have been engaged in attempts to achieve fusion ignition as a proof of principle of various fusion concepts. Following the Lawson criterion, an ignited plasma is one where the fusion heating power is high enough to overcome all the physical processes that cool the fusion plasma, creating a positive thermodynamic feedback loop with rapidly increasing temperature. In inertially confined fusion, ignition is a state where the fusion plasma can begin "burn propagation" into surrounding cold fuel, enabling the possibility of high energy gain. While "scientific breakeven" (i.e., unity target gain) has not yet been achieved (here target gain is 0.72, 1.37 MJ of fusion for 1.92 MJ of laser energy), this Letter reports the first controlled fusion experiment, using laser indirect drive, on the National Ignition Facility to produce capsule gain (here 5.8) and reach ignition by nine different formulations of the Lawson criterion