Reformulation of the Stochastic Potential Switching Algorithm and a Generalized Fourtuin-Kasteleyn Representation

A new formulation of the stochastic potential switching algorithm is presented. This reformulation naturally leads us to a generalized Fourtuin-Kasteleyn representation of the partition function Z. A formula for internal energy E and that of heat capacity C are derived from derivatives of the partition function. We also derive a formula for the exchange probability in the replica exchange Monte Carlo method. By combining the formulae with the Stochastic Cutoff method, we can greatly reduce the computational time to perform internal energy and heat capacity measurements and the replica exchange Monte Carlo method in long-range interacting systems. Numerical simulations in three dimensional magnetic dipolar systems show the validity and efficiency of the method.Comment: 11 pages, 6 figures, to appear in PR

Surprises in the suddenly-expanded infinite well

I study the time-evolution of a particle prepared in the ground state of an infinite well after the latter is suddenly expanded. It turns out that the probability density $|\Psi(x, t)|^{2}$ shows up quite a surprising behaviour: for definite times, {\it plateaux} appear for which $|\Psi(x, t)|^{2}$ is constant on finite intervals for $x$. Elements of theoretical explanation are given by analyzing the singular component of the second derivative $\partial_{xx}\Psi(x, t)$. Analytical closed expressions are obtained for some specific times, which easily allow to show that, at these times, the density organizes itself into regular patterns provided the size of the box in large enough; more, above some critical time-dependent size, the density patterns are independent of the expansion parameter. It is seen how the density at these times simply results from a construction game with definite rules acting on the pieces of the initial density.Comment: 24 pages, 14 figure

The Diffusion of Humans and Cultures in the Course of the Spread of Farming

The most profound change in the relationship between humans and their environment was the introduction of agriculture and pastoralism. [....] For an understanding of the expansion process, it appears appropriate to apply a diffusive model. Broadly, these numerical modeling approaches can be catego- rized in correlative, continuous and discrete. Common to all approaches is the comparison to collections of radiocarbon data that show the apparent wave of advance of the transition to farming. However, these data sets differ in entry density and data quality. Often they disregard local and regional specifics and research gaps, or dating uncertainties. Thus, most of these data bases may only be used on a very general, broad scale. One of the pitfalls of using irregularly spaced or irregularly documented radiocarbon data becomes evident from the map generated by Fort (this volume, Chapter 16): while the general east-west and south-north trends become evident, some areas appear as having undergone anomalously early transitions to farming. This may be due to faulty entries into the data base or regional problems with radiocarbon dating, if not unnoticed or undocumented laboratory mistakes.Comment: 20 pages, 5 figures, submitted to Diffusive Spreading in Nature, Technology and Society, edited by Armin Bunde, J\"urgen Caro, J\"org K\"arger, Gero Vogl, Chapter 1

Recovery of Large Angular Scale CMB Polarization for Instruments Employing Variable-delay Polarization Modulators

Variable-delay Polarization Modulators (VPMs) are currently being implemented in experiments designed to measure the polarization of the cosmic microwave background on large angular scales because of their capability for providing rapid, front-end polarization modulation and control over systematic errors. Despite the advantages provided by the VPM, it is important to identify and mitigate any time-varying effects that leak into the synchronously modulated component of the signal. In this paper, the effect of emission from a $300$ K VPM on the system performance is considered and addressed. Though instrument design can greatly reduce the influence of modulated VPM emission, some residual modulated signal is expected. VPM emission is treated in the presence of rotational misalignments and temperature variation. Simulations of time-ordered data are used to evaluate the effect of these residual errors on the power spectrum. The analysis and modeling in this paper guides experimentalists on the critical aspects of observations using VPMs as front-end modulators. By implementing the characterizations and controls as described, front-end VPM modulation can be very powerful for mitigating $1/f$ noise in large angular scale polarimetric surveys. None of the systematic errors studied fundamentally limit the detection and characterization of B-modes on large scales for a tensor-to-scalar ratio of $r=0.01$. Indeed, $r<0.01$ is achievable with commensurately improved characterizations and controls.Comment: 13 pages, 13 figures, 1 table, matches published versio

Stochastic Cutoff Method for Long-Range Interacting Systems

A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle system decreases with the distance as $r_{ij}^{-\alpha}$, computational time per one Monte Carlo step is ${\cal O}(N)$ for $\alpha \ge d$ and ${\cal O}(N^{2-\alpha/d})$ for $\alpha < d$, where $d$ is the spatial dimension. We apply the method to a two-dimensional magnetic dipolar system. The method enables us to treat a huge system of $256^2$ spins with reasonable computational time, and reproduces a circular order originated from long-range dipolar interactions.Comment: 18 pages, 9 figures, 1 figure and 1 reference are adde

Impact of lightning-NO on eastern United States photochemistry during the summer of 2006 as determined using the CMAQ model

A lightning-nitrogen oxide (NO) algorithm is implemented in the Community Multiscale Air Quality Model (CMAQ) and used to evaluate the impact of lightning-NO emissions (LNO&lt;sub&gt;x&lt;/sub&gt;) on tropospheric photochemistry over the United States during the summer of 2006. &lt;br&gt;&lt;br&gt; For a 500 mole per flash lightning-NO source, the mean summertime tropospheric NO&lt;sub&gt;2&lt;/sub&gt; column agrees with satellite-retrieved columns to within −5 to +13%. Temporal fluctuations in the column are moderately well simulated; however, the addition of LNO&lt;sub&gt;x&lt;/sub&gt; does not lead to a better simulation of day-to-day variability. The contribution of lightning-NO to the model column ranges from &amp;sim;10% in the northern US to &gt;45% in the south-central and southeastern US. Lightning-NO adds up to 20 ppbv to upper tropospheric model ozone and 1.5–4.5 ppbv to 8-h maximum surface layer ozone, although, on average, the contribution of LNO&lt;sub&gt;x&lt;/sub&gt; to model surface ozone is 1–2 ppbv less on poor air quality days. LNO&lt;sub&gt;x&lt;/sub&gt; increases wet deposition of oxidized nitrogen by 43% and total deposition of nitrogen by 10%. This additional deposition reduces the mean magnitude of the CMAQ low-bias in nitrate wet deposition with respect to National Atmospheric Deposition monitors to near zero. &lt;br&gt;&lt;br&gt; Differences in urban/rural biases between model and satellite-retrieved NO&lt;sub&gt;2&lt;/sub&gt; columns were examined to identify possible problems in model chemistry and/or transport. CMAQ columns were too large over urban areas. Biases at other locations were minor after accounting for the impacts of lightning-NO emissions and the averaging kernel on model columns. &lt;br&gt;&lt;br&gt; In order to obtain an upper bound on the contribution of uncertainties in NO&lt;sub&gt;y&lt;/sub&gt; chemistry to upper tropospheric NO&lt;sub&gt;x&lt;/sub&gt; low biases, sensitivity calculations with updated chemistry were run for the time period of the Intercontinental Chemical Transport Experiment (INTEX-A) field campaign (summer 2004). After adjusting for possible interferences in NO&lt;sub&gt;2&lt;/sub&gt; measurements and averaging over the entire campaign, these updates reduced 7–9 km biases from 32 to 17% and 9–12 km biases from 57 to 46%. While these changes lead to better agreement, a considerable unexplained NO&lt;sub&gt;2&lt;/sub&gt; low-bias remains in the uppermost troposphere

Motives for choosing university and specialty applicants Ukraine (for example, students NTU "KPI")

Стаття присвячена аналізу портрета абітурієнта НТУ "ХПІ", де, крім визначення мотивів професійного вибору, самооцінки особистих здібностей, розглядаються і основні цілі навчання в НТУ "ХПІ". У статті підкреслюється, що проблема професійного самовизначення стояла перед молоддю завжди, а сьогодні вона особливо актуальна, тому що сучасні умови ринку праці ведуть до того, що більшість випускників не мають ясної життєвої перспективи. Аналізуються мотиви отримання абітурієнтами вищої освіти, мотивація вступу до НТУ "ХПІ", мотиви вибору спеціальності, період формування професійного інтересу. Проаналізовано мотиви професійного вибору абітурієнтів; період формування інтересу молодих людей до обраної спеціальності (процес самовизначення, коли здійснено вибір спеціальності, ВНЗ); специфіку вибору ВНЗ (яким за рахунком був ХПІ, хто допоміг визначитися з вибором); уявлення про процес навчання в університеті; відповідність уявлень про навчання в університеті реаліям університетського життя.This article analyzes portrait applicant NTU "KPI", where in addition to determining the reasons professional choice, self-personal skills, and discusses the main goals of training at NTU "KPI". The article highlights the problem of professional self -determination was always the youth, and today it is particularly urgent because the current labor market conditions lead to the fact that most graduates do not have a clear life perspective. Analyzed the motives of applicants receiving higher education, motivation admission to NTU "KPI" motives choice of specialty, during the formation of professional interest. Analyzed the motives of professional selection of applicants; during the formation of young people's interest to the chosen profession (the process of self-selection made when specialty Universities); the specific choice of university (how the account was HPI, who helped to choose); understanding of the learning process at the university; line ideas about university studies realities of university life

Odd Parity and Line Nodes in Heavy Fermion Superconductors

Group theory arguments have demonstrated that a general odd parity order parameter cannot have line nodes in the presence of spin-orbit coupling. In this paper, it is shown that these arguments do not hold on the $k_z = \pi/c$ zone face of a hexagonal close packed lattice. In particular, three of the six odd parity representations vanish identically on this face. This has potential relevance to the heavy fermion superconductor $UPt_3$.Comment: 5 pages, revte

Finite-Function-Encoding Quantum States

We investigate the encoding of higher-dimensional logic into quantum states. To that end we introduce finite-function-encoding (FFE) states which encode arbitrary $d$-valued logic functions and investigate their structure as an algebra over the ring of integers modulo $d$. We point out that the polynomiality of the function is the deciding property for associating hypergraphs to states. Given a polynomial, we map it to a tensor-edge hypergraph, where each edge of the hypergraph is associated with a tensor. We observe how these states generalize the previously defined qudit hypergraph states, especially through the study of a group of finite-function-encoding Pauli stabilizers. Finally, we investigate the structure of FFE states under local unitary operations, with a focus on the bipartite scenario and its connections to the theory of complex Hadamard matrices.Comment: Comments welcom