6,896 research outputs found
Super-hydrodynamic limit in interacting particle systems
This paper is a follow-up of the work initiated in [3], where it has been
investigated the hydrodynamic limit of symmetric independent random walkers
with birth at the origin and death at the rightmost occupied site. Here we
obtain two further results: first we characterize the stationary states on the
hydrodynamic time scale and show that they are given by a family of linear
macroscopic profiles whose parameters are determined by the current reservoirs
and the system mass. Then we prove the existence of a super-hyrdrodynamic time
scale, beyond the hydrodynamic one. On this larger time scale the system mass
fluctuates and correspondingly the macroscopic profile of the system randomly
moves within the family of linear profiles, with the randomness of a Brownian
motion.Comment: 22 page
Non equilibrium stationary state for the SEP with births and deaths
We consider the symmetric simple exclusion process in the interval
\La_N:=[-N,N]\cap\mathbb Z with births and deaths taking place respectively
on suitable boundary intervals and , as introduced in De Masi et al.
(J. Stat. Phys. 2011). We study the stationary measure density profile in the
limit $N\to\infty
Symmetric simple exclusion process with free boundaries
We consider the one dimensional symmetric simple exclusion process (SSEP)
with additional births and deaths restricted to a subset of configurations
where there is a leftmost hole and a rightmost particle. At a fixed rate birth
of particles occur at the position of the leftmost hole and at the same rate,
independently, the rightmost particle dies. We prove convergence to a
hydrodynamic limit and discuss its relation with a free boundary problem.Comment: 29 pages, 4 figure
STRATEGIES OF DIGITAL KNOWLEDGE'S REPRESENTATION: FROM DE-MORPHOGENESIS AT MSH-BIM. OPTICAL, THEATRICAL ILLUSION AND PERSPECTIVE IN THE NEAPOLITAN SCHOOL'S ARCHITECTURE DRAWING
Abstract. The study illustrates the architectural-scenographic construction and drawing techniques related to theatrical scenic illusionism of the seventeenth and eighteenth centuries in relationship with some Neapolitan monumental buildings. In addition the develop of methodologies of intervention DSH (De-Morphogenesis, Semantic, Hypermedia Systems) – BIM (Building Information Modelling) in the historical reality as new concept of "Smart Heritage". Therefore, the objective of the research is the construction of the visual model of documentation defined as "Digital Platform for the Knowledge's Representation" of classification and comparison data. The methodological operations will be based on the "Morphology of the Form", the "De-Morphogenesis of the Architecture", "Semantic Values of the Architecture by On-Morphogenesis and "Hypermedia Systems and Cloud Computing Platforms". The research highlighted for architectural elements: 1) Lexicon, Syntax and Semantics. 2) Ripercussion on representative categories. 3) Solutions adopted to check the conservation condition. 4) manipulation based on dimensional parameters. 5) 3D parametric digital models with appropriate stylistic features in the same way as reverse engineering solutions
Optimal strategy for polarization modulation in the LSPE-SWIPE experiment
Context. Cosmic microwave background (CMB) B-mode experiments are required to control systematic effects with an unprecedented level of accuracy. Polarization modulation by a half wave plate (HWP) is a powerful technique able to mitigate a large number of the instrumental systematics. Aims. Our goal is to optimize the polarization modulation strategy of the upcoming LSPE-SWIPE balloon-borne experiment, devoted to the accurate measurement of CMB polarization at large angular scales. Methods. We departed from the nominal LSPE-SWIPE modulation strategy (HWP stepped every 60 s with a telescope scanning at around 12 deg/s) and performed a thorough investigation of a wide range of possible HWP schemes (either in stepped or continuously spinning mode and at different azimuth telescope scan-speeds) in the frequency, map and angular power spectrum domain. In addition, we probed the effect of high-pass and band-pass filters of the data stream and explored the HWP response in the minimal case of one detector for one operation day (critical for the single-detector calibration process). We finally tested the modulation performance against typical HWP-induced systematics. Results. Our analysis shows that some stepped HWP schemes, either slowly rotating or combined with slow telescope modulations, represent poor choices. Moreover, our results point out that the nominal configuration may not be the most convenient choice. While a large class of spinning designs provides comparable results in terms of pixel angle coverage, map-making residuals and BB power spectrum standard deviations with respect to the nominal strategy, we find that some specific configurations (e.g., a rapidly spinning HWP with a slow gondola modulation) allow a more efficient polarization recovery in more general real-case situations. Conclusions. Although our simulations are specific to the LSPE-SWIPE mission, the general outcomes of our analysis can be easily generalized to other CMB polarization experiments
Duality and exact correlations for a model of heat conduction
We study a model of heat conduction with stochastic diffusion of energy. We
obtain a dual particle process which describes the evolution of all the
correlation functions. An exact expression for the covariance of the energy
exhibits long-range correlations in the presence of a current. We discuss the
formal connection of this model with the simple symmetric exclusion process.Comment: 19 page
LHC Collimators Low Level Control System
The low level control system (LLCS) of the LHC collimators is responsible for accurate synchronization of 500 axes of motion at microsecond level. Stepping motors are used in open loop ensuring a high level of repeatability of the position. In addition, a position survey system based on Resolver and LVDT sensors and operating at approximately 100 Hz, verifies in real-time the position of each axis with some tens of micrometers accuracy with respect to the expected position. The LLCS is characterized by several challenging requirements such as high reliability, redundancy, strict timing constraints and compactness of the low level hardware because of the limited space available in the racks underground. The National Instruments PXI platform has been proposed and evaluated as real-time low level hardware. In this paper the architecture of the LHC collimators LLCS is presented. The solution adopted for implementing motion control and positioning sensors reading on the PXI platform are detailed
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