988 research outputs found
Finite difference lattice Boltzmann model with flux limiters for liquid-vapor systems
In this paper we apply a finite difference lattice Boltzmann model to study
the phase separation in a two-dimensional liquid-vapor system. Spurious
numerical effects in macroscopic equations are discussed and an appropriate
numerical scheme involving flux limiter techniques is proposed to minimize them
and guarantee a better numerical stability at very low viscosity. The phase
separation kinetics is investigated and we find evidence of two different
growth regimes depending on the value of the fluid viscosity as well as on the
liquid-vapor ratio.Comment: 10 pages, 10 figures, to be published in Phys. Rev.
Scattering from supramacromolecular structures
We study theoretically the scattering imprint of a number of branched
supramacromolecular architectures, namely, polydisperse stars and dendrimeric,
hyperbranched structures. We show that polydispersity and nature of branching
highly influence the intermediate wavevector region of the scattering structure
factor, thus providing insight into the morphology of different aggregates
formed in polymer solutions.Comment: 20 pages, 8 figures To appear in PR
Diagonalizing operators over continuous fields of C*-algebras
It is well known that in the commutative case, i.e. for being a
commutative C*-algebra, compact selfadjoint operators acting on the Hilbert
C*-module (= continuous families of such operators , ) can
be diagonalized if we pass to a bigger W*-algebra which can be obtained from by completing it with respect to the weak
topology. Unlike the "eigenvectors", which have coordinates from , the
"eigenvalues" are continuous, i.e. lie in the C*-algebra . We discuss here
the non-commutative analog of this well-known fact. Here the "eigenvalues" are
defined not uniquely but in some cases they can also be taken from the initial
C*-algebra instead of the bigger W*-algebra. We prove here that such is the
case for some continuous fields of real rank zero C*-algebras over a
one-dimensional manifold and give an example of a C*-algebra for which the
"eigenvalues" cannot be chosen from , i.e. are discontinuous. The main point
of the proof is connected with a problem on almost commuting operators. We
prove that for some C*-algebras if is a selfadjoint, is a
unitary and if the norm of their commutant is small enough then one can
connect with the unity by a path so that the norm of
would be also small along this path.Comment: 21 pages, LaTeX 2.09, no figure
Reflections on Modern Macroeconomics: Can We Travel Along a Safer Road?
In this paper we sketch some reflections on the pitfalls and inconsistencies
of the research program - currently dominant among the profession - aimed at
providing microfoundations to macroeconomics along a Walrasian perspective. We
argue that such a methodological approach constitutes an unsatisfactory answer
to a well-posed research question, and that alternative promising routes have
been long mapped out but only recently explored. In particular, we discuss a
recent agent-based, truly non-Walrasian macroeconomic model, and we use it to
envisage new challenges for future research.Comment: Latex2e v1.6; 17 pages with 4 figures; for inclusion in the APFA5
Proceeding
The Bond-Algebraic Approach to Dualities
An algebraic theory of dualities is developed based on the notion of bond
algebras. It deals with classical and quantum dualities in a unified fashion
explaining the precise connection between quantum dualities and the low
temperature (strong-coupling)/high temperature (weak-coupling) dualities of
classical statistical mechanics (or (Euclidean) path integrals). Its range of
applications includes discrete lattice, continuum field, and gauge theories.
Dualities are revealed to be local, structure-preserving mappings between
model-specific bond algebras that can be implemented as unitary
transformations, or partial isometries if gauge symmetries are involved. This
characterization permits to search systematically for dualities and
self-dualities in quantum models of arbitrary system size, dimensionality and
complexity, and any classical model admitting a transfer matrix representation.
Dualities like exact dimensional reduction, emergent, and gauge-reducing
dualities that solve gauge constraints can be easily understood in terms of
mappings of bond algebras. As a new example, we show that the (\mathbb{Z}_2)
Higgs model is dual to the extended toric code model {\it in any number of
dimensions}. Non-local dual variables and Jordan-Wigner dictionaries are
derived from the local mappings of bond algebras. Our bond-algebraic approach
goes beyond the standard approach to classical dualities, and could help
resolve the long standing problem of obtaining duality transformations for
lattice non-Abelian models. As an illustration, we present new dualities in any
spatial dimension for the quantum Heisenberg model. Finally, we discuss various
applications including location of phase boundaries, spectral behavior and,
notably, we show how bond-algebraic dualities help constrain and realize
fermionization in an arbitrary number of spatial dimensions.Comment: 131 pages, 22 figures. Submitted to Advances in Physics. Second
version including a new section on the eight-vertex model and the correction
of several typo
Governing stem cell therapy in India: regulatory vacuum or jurisdictional ambiguity?
Stem cell treatments are being offered in Indian clinics although preclinical evidence of their efficacy and safety is lacking. This is attributed to a governance vacuum created by the lack of legally binding research guidelines. By contrast, this paper highlights jurisdictional ambiguities arising from trying to regulate stem cell therapy under the auspices of research guidelines when treatments are offered in a private market disconnected from clinical trials. While statutory laws have been strengthened in 2014, prospects for their implementation remain weak, given embedded challenges of putting healthcare laws and professional codes into practice. Finally, attending to the capacities of consumer law and civil society activism to remedy the problem of unregulated treatments, the paper finds that the very definition of a governance vacuum needs to be reframed to clarify whose rights to health care are threatened by the proliferation of commercial treatments and individualized negligence-based remedies for grievances
Dendritic Core-Shell Macromolecules Soluble in Supercritical Carbon Dioxide
International audienceSupercritical carbon dioxide has found strong interest as a reaction medium recently.1,2 As an alternative to organic solvents, compressed carbon dioxide is toxicologically harmless, nonflammable, inexpensive, and environmentally benign.3 Its accessible critical temperature and pressure (Tc ) 31 °C, Pc ) 7.38 MPa, Fc ) 0.468 g cm-3)4 and the possibility of tuning the solvent-specific properties between the ones of liquid and gas are very attractive
Size Effects in Agent-Based Macroeconomic Models: An Initial Investigation
We investigate the scale-free property of an agent-based macroeconomic model initially proposed by Wright (2005), called the Social Architecture (SA) model. The SA model has been shown to be able to replicate a number of important features of a macroeconomy, such as patterns concerning economic growth, business cycles, industrial dynamics and income distribution. We explore whether macroeconomic stylized features resulting from this model are robust when the number of agents populating the (model) economy vary. We simulate the model by systematically varying the agent population with 100, 500, 1000, 2,000, 4,000, 8,000 and 10,000 agents. Our results indicate that the SA model does exhibit significant size effects for several important variables
Bigger, Faster, Better? Rhetorics and Practices of Large-Scale Research in Contemporary Bioscience
publication-status: Publishedtypes: ArticleEditorial for Special Issu
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