Density Matrix Renormalization Group Study of Random Dimerized Antiferromagnetic Heisenberg Chains

The effect of dimerization on the random antiferomagnetic Heisenberg chain with spin 1/2 is studied by the density matrix renormalization group method. The ground state energy, the energy gap distribution and the string order parameter are calculated. Using the finite size scaling analysis, the dimerization dependence of the these quantities are obtained. The ground state energy gain due to dimerization behaves as $u^a$ with $a > 2$ where $u$ denotes the degree of dimerization, suggesting the absence of spin-Peierls instability. It is explicitly shown that the string long range order survives even in the presence of randomness. The string order behaves as $u^{2\beta}$ with $\beta \sim 0.37$ in agreement with the recent prediction of real space renormalization group theory ($\beta =(3-\sqrt{5})/2 \simeq 0.382$). The physical picture of this behavior in this model is also discussed.Comment: 6 pages, 8 figures, to be published in Journal of the Physical Society of Japa

Random Spin-1 Quantum Chains

We study disordered spin-1 quantum chains with random exchange and biquadratic interactions using a real space renormalization group approach. We find that the dimerized phase of the pure biquadratic model is unstable and gives rise to a random singlet phase in the presence of weak disorder. In the Haldane region of the phase diagram we obtain a quite different behavior.Comment: 13 pages, Latex, no figures, to be published in Solid State Communication

Prognostic hallmarks in AML

A data-clustering method that incorporates prior knowledge of biological context reveals prognostic signatures of proteomic expression in patients with acute myeloid leukaemia

Executable cancer models: successes and challenges

Making decisions on how best to treat cancer patients requires the integration of different data sets, including genomic profiles, tumour histopathology, radiological images, proteomic analysis and more. This wealth of biological information calls for novel strategies to integrate such information in a meaningful, predictive and experimentally verifiable way. In this Perspective we explain how executable computational models meet this need. Such models provide a means for comprehensive data integration, can be experimentally validated, are readily interpreted both biologically and clinically, and have the potential to predict effective therapies for different cancer types and subtypes. We explain what executable models are and how they can be used to represent the dynamic biological behaviours inherent in cancer, and demonstrate how such models, when coupled with automated reasoning, facilitate our understanding of the mechanisms by which oncogenic signalling pathways regulate tumours. We explore how executable models have impacted the field of cancer research and argue that extending them to represent a tumour in a specific patient (that is, an avatar) will pave the way for improved personalized treatments and precision medicine. Finally, we highlight some of the ongoing challenges in developing executable models and stress that effective cross-disciplinary efforts are key to forward progress in the field

Influential Publications in Ecological Economics: A Citation Analysis

We assessed the degree of influence of selected papers and books in ecological economics using citation analysis. We looked at both the internal influence of publications on the field of ecological economics and the external influence of those same publications on the broader academic community. We used four lists of papers and books for the analysis: (1) 92 papers nominated by the Ecological Economics (EE) Editorial Board; (2) 71 papers that were published in EE and that received 15 or more citations in all journals included in the Institute for Scientific Information (ISI) Citation Index; (3) 57 papers that had been cited in EE 15 or more times; and (4) 77 monographs and edited books that had been cited in EE 15 or more times. For each publication we counted the total number of ISI citations as well as the total number of citations in EE. We calculated the average number of citations/yr to each paper since its publication in both the ISI database and in EE, along with the percentage of the total ISI citations that were in EE. Ranking the degree of influence of the publications can be done in several ways, including using the number of ISI citations, the number of EE citations or both. We discuss both the internal and external influence of publications and show how these influences might be considered jointly. We display and analyze the results in several ways. By plotting the ISI citations against the EE citations we can identify those papers that are mainly influential in EE with some broader influence, those that are mainly influential in the broader literature but have also had influence on EE, and other patterns of influence. There are both overlaps and interesting lacunae among the four lists that give us a better picture of the real influence of publications in ecological economics versus perceptions of those publications' importance. By plotting the number of citations vs. date of publication, we can identify those publications that are projected to be most influential. Plots of the time series of citations over the 1990-2003 period show a generally increasing trend (contrary to what one would expect for an "average" paper) for the top papers. We suggest that this pattern of increasing citations (and thus influence) over time is one hallmark of a "foundational" paper.

Severity of Scope Versus Altruism: Working Against Organ Donation’s Realization of Goals- An Essay

The number of incidences of End Stage Renal Disease (ESRD) supports the case that it is a public health emergency. The burden is often quantified by rates, leaving many people cold and unresponsive, leading to, as Nordgren and Morris McDonnell (2011) state, “the diminishing identifiably of a large number of victims” snarled in the scope-severity paradox. The subject may identify with the disease or illness, but who are these ill-fated others? It must go beyond recognition that there is an ESRD problem at hand. “Strength in numbers” hurts---according to scope-severity paradox and its close kin, scope insensitivity. There appears to be less of an incentive to upset rational choice and side with emotion if enlarging health awareness is required to turn the tide of disease. But I argue that this emotive will more likely activate a collective empathy if an ESRD patient that needs a kidney is personally known to us

Organ Donation Ethics: Are Donors Autonomous within Collective Networks?

Can and will a person become an organ donor? Before such an altruistic act will occur, there is the ethic behind the action. There is an internalization of an ethic that the person agrees or disagrees with organ donation, no matter the variant. There is a large sense of agency and responsibility over the integrity of one’s body. We do care what our “network” thinks about our personally held norms of living donation and sanctity of the body. I present the position that understanding of the norms of living organ donation requires an examination of the personal social “network” surrounding the potential donor. Networks rely on connection which may lead to deliberate consensus building (or a reason to conform in order to limit disharmony). But I argue, even when there is a supportive social environment supporting a particular bioethical value, there will be some level of network level engagement with others in this process (for better or for worse)

Renormalization Group for Large N Strongly Commensurate Dirty Boson Model

The large N sigma model, in D<4 space-time dimensions, with disorder a function of d space dimensions, is analyzed via a renormalization group treatment. Critical exponents for average quantities are calculated, first to lowest order and then to all orders, in $\epsilon=D-2 - d/2$. In particular, it is found that $\nu d =2$. When D=d+1, this model is equivalent to a large N limit of the strongly commensurate dirty boson problem.Comment: 16 pages, 4 figures, to be published in PR

Polylogarithm Identities in a Conformal Field Theory in Three Dimensions

The $N=\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$). In a recent paper with A. Chubukov and J. Ye~\cite{self}, we have computed a universal number, $\tilde{c}$, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theory. The result~\cite{self} for $\tilde{c}$ can be expressed in terms of polylogarithms. Here, we use non-trivial polylogarithm identities to show that $\tilde{c}/N = 4/5$, a rational number; this result is curiously parallel to recent work on dilogarithm identities in $D=2$ conformal theories. The amplitude of the stress-stress correlator of this theory, $c$ (which is the analog of the central charge), is determined to be $c/N=3/4$, also rational. Unitary conformal theories in $D=2$ always have $c = \tilde{c}$; thus such a result is clearly not valid in $D=3$.Comment: LATEX, 7 page

Structure and Thermodynamical Properties of Zirconium hydrides from first-principle

Zirconium alloys are used as nuclear fuel cladding material due to their mechanical and corrosion resistant properties together with their favorable cross-section for neutron scattering. At running conditions, however, there will be an increase of hydrogen in the vicinity of the cladding surface at the water side of the fuel. The hydrogen will diffuse into the cladding material and at certain conditions, such as lower temperatures and external load, hydrides will precipitate out in the material and cause well known embrittlement, blistering and other unwanted effects. Using phase-field methods it is now possible to model precipitation build-up in metals, for example as a function of hydrogen concentration, temperature and external load, but the technique relies on input of parameters, such as the formation energy of the hydrides and matrix. To that end, we have computed, using the density functional theory (DFT) code GPAW, the latent heat of fusion as well as solved the crystal structure for three zirconium hydride polymorphs: \delta-ZrH1.6, \gamma-ZrH, and \epsilon-ZrH2.Comment: 9 pages, 9 figures, 15th Int. Conf. Environmental Degradation of Materials in Nuclear Power Systems-water reactors Uses graficx, subfigure, threeparttable (2012