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Articles 1 - 30 of 48
Full-Text Articles in Physical Sciences and Mathematics
Fixed-Point Free Circle Actions On 4-Manifolds, Weimin Chen Chen
Fixed-Point Free Circle Actions On 4-Manifolds, Weimin Chen Chen
Weimin Chen
This paper is concerned with fixed-point free S1-actions (smooth or locally linear) on orientable 4-manifolds. We show that the fundamental group plays a predominant role in the equivariant classification of such 4-manifolds. In particular, it is shown that for any finitely presented group with infinite center, there are at most finitely many distinct smooth (resp. topological) 4-manifolds which support a fixed-point free smooth (resp. locally linear) S1-action and realize the given group as the fundamental group. A similar statement holds for the number of equivalence classes of fixed-point free S1-actions under some further conditions on the fundamental group. The connection …
Parametric Sensitivity Analysis For Biochemical Reaction Networks Based On Pathwise Information Theory, Yannis Pantazis, Markos Katsoulakis, Dionisios G. Vlachos
Parametric Sensitivity Analysis For Biochemical Reaction Networks Based On Pathwise Information Theory, Yannis Pantazis, Markos Katsoulakis, Dionisios G. Vlachos
Markos Katsoulakis
Background: Stochastic modeling and simulation provide powerful predictive methods for the intrinsic understanding of fundamental mechanisms in complex biochemical networks. Typically, such mathematical models involve networks of coupled jump stochastic processes with a large number of parameters that need to be suitably calibrated against experimental data. In this direction, the parameter sensitivity analysis of reaction networks is an essential mathematical and computational tool, yielding information regarding the robustness and the identifiability of model parameters. However, existing sensitivity analysis approaches such as variants of the finite difference method can have an overwhelming computational cost in models with a high-dimensional parameter space. …
Sum Rule For The Adm Mass And Tensions In Planar Ads Spacetimes, Basem M. El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen
Sum Rule For The Adm Mass And Tensions In Planar Ads Spacetimes, Basem M. El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen
David Kastor
An asymptotically planar AdS spacetimes is characterized by its ADM mass and tensions. We define an additional ADM charge Q associated with the scaling Killing vector of AdS, show that Q is given by a certain sum over the ADM mass and tensions and that Q vanishes on solutions to the Einstein equation with negative cosmological constant. The sum rule for the mass and tensions thus established corresponds in an AdS/CFT context to the vanishing of the trace of the boundary stress tensor. We also show that an analogous sum rule holds for local planar sources of stress-energy sources in …
Conformal Tensors Via Lovelock Gravity, David Kastor
Conformal Tensors Via Lovelock Gravity, David Kastor
David Kastor
Constructs from conformal geometry are important in low dimensional gravity models, while in higher dimensions the higher curvature interactions of Lovelock gravity are similarly prominent. Considering conformal invariance in the context of Lovelock gravity leads to natural, higher-curvature generalizations of the Weyl, Schouten, Cotton and Bach tensors, with properties that straightforwardly extend those of their familiar counterparts. As a first application, we introduce a new set of conformally invariant gravity theories in D=4k dimensions, based on the squares of the higher curvature Weyl tensors.
Self-Assembly On A Cylinder: A Model System For Understanding The Constrain Of Commensurability, D. A. Wood, Christian Santangelo, A. D. Dinsmore
Self-Assembly On A Cylinder: A Model System For Understanding The Constrain Of Commensurability, D. A. Wood, Christian Santangelo, A. D. Dinsmore
Christian Santangelo
A crystal lattice, when confined to the surface of a cylinder, must have a periodic structure that is commensurate with the cylinder circumference. This constraint can frustrate the system, leading to oblique crystal lattices or to structures with a chiral seam known as a ‘line slip’ phase, neither of which is stable for isotropic particles in equilibrium on flat surfaces. In this study, we use molecular dynamics simulations to find the steady-state structure of spherical particles with short-range repulsion and long-range attraction far below the melting temperature. We vary the range of attraction using the Lennard-Jones and Morse potentials and …
On The Universality Of Inner Black Hole Mechanics And Higher Curvature Gravity, Alejandra Castro, Nima Dehmami, Gaston Giribet, David Kastor
On The Universality Of Inner Black Hole Mechanics And Higher Curvature Gravity, Alejandra Castro, Nima Dehmami, Gaston Giribet, David Kastor
David Kastor
Black holes are famous for their universal behavior. New thermodynamic relations have been found recently for the product of gravitational entropies over all the horizons of a given stationary black hole. This product has been found to be independent of the mass for all such solutions of Einstein-Maxwell theory in d=4,5. We study the universality of this mass independence by introducing a number of possible higher curvature corrections to the gravitational action. We consider finite temperature black holes with both asymptotically flat and (A)dS boundary conditions. Although we find examples for which mass independence of the horizon entropy product continues …
Proceedings Of A Workshop On American Eel Passage Technologies, Alex Haro
Proceedings Of A Workshop On American Eel Passage Technologies, Alex Haro
Alexander Haro
No abstract provided.
Gravitational Tension And Thermodynamics Of Planar Ads Spacetimes, Basem M. El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen
Gravitational Tension And Thermodynamics Of Planar Ads Spacetimes, Basem M. El-Menoufi, Benjamin Ett, David Kastor, Jennie Traschen
David Kastor
We derive new thermodynamic relations for asymptotically planar AdS black hole and soliton solutions. In addition to the ADM mass, these spacetimes are characterized by gravitational tensions in each of the planar spatial directions. We show that with planar AdS asymptotics, the sum of the ADM mass and tensions necessarily vanishes, as one would expect from the AdS /CFT correspondence. Each Killing vector of such a spacetime leads to a Smarr formula relating the ADM mass and tensions, the black hole horizon and soliton bubble areas, and a set of thermodynamic volumes that arise due to the non-vanishing cosmological constant. …
Evolution Of Hierarchical Structures In Polyelectrolyte–Micelle Coacervates, Ebru Kizilay, Anthony D. Dinsmore, David A. Hoagland, Lianhong Sun, Paul Dubin
Evolution Of Hierarchical Structures In Polyelectrolyte–Micelle Coacervates, Ebru Kizilay, Anthony D. Dinsmore, David A. Hoagland, Lianhong Sun, Paul Dubin
Paul Dubin
We investigated the temperature-induced liquid–liquid phase separation (coacervation) of polyelectrolyte (PE)–micelle systems and the structure of the resultant coacervates. Dynamic light scattering, small angle neutron scattering and cryo-transmission electron microscopy (DLS, SANS, Cryo-TEM) were used to examine the evolution of complex structure up to the point of temperature-induced coacervation and beyond. Three diffusional modes, seen in the single phase samples and in the coexisting coacervated supernatant phases were attributed respectively to free micelles, PE–micelle complexes, and aggregates thereof. They corresponded to SANS Guinier region slopes yielding Rg [similar] 4 nm (micelles) and Rg [similar] 50 nm (unresolved complexes and aggregates). …
Thermodynamic Volumes And Isoperimetric Inequalities For De Sitter Black Holes, Brian P. Dolan, David Kastor, David KubiznˇA´K, Robert B. Mann, Jennie Traschen
Thermodynamic Volumes And Isoperimetric Inequalities For De Sitter Black Holes, Brian P. Dolan, David Kastor, David KubiznˇA´K, Robert B. Mann, Jennie Traschen
David Kastor
We consider the thermodynamics of rotating and charged asymptotically de Sitter black holes. Using Hamiltonian perturbation theory techniques, we derive three different first law relations including variations in the cosmological constant, and associated Smarr formulas that are satisfied by such spacetimes. Each first law introduces a different thermodynamic volume conjugate to the cosmological constant. We examine the relation between these thermodynamic volumes and associated geometric volumes in a number of examples, including Kerr-dS black holes in all dimensions and Kerr-Newman-dS black holes in D=4. We also show that the Chong-Cvetic-Lu-Pope solution of D=5 minimal supergravity, analytically continued to positive cosmological …
On Random Time And On The Relation Between Wave And Telegraph Equations, Ramakrishna Janaswamy
On Random Time And On The Relation Between Wave And Telegraph Equations, Ramakrishna Janaswamy
Ramakrishna Janaswamy
Kac’s conjecture relating the solution of wave and telegraph equations in higher dimensions through a Poisson process-driven random time is established through the concepts of stochastic calculus. New expression is derived for the probability density function of the random time. We demonstrate how the relationship between the solution of a lossy wave- and that of a lossless wave equation can be exploited to derive some statistical identities. Relevance of the results presented to the study of pulse propagation in a dispersive medium characterized by a Lorentz or Drude model is discussed and new evolution equations for 2D Maxwell’s equations are …
Enhanced Electrostatic Discrimination Of Proteins On Nanoparticle-Coated Surfaces, Yisheng Xu, Yoni Engel, Yunfeng Yan, Kaimin Chen, Daniel F. Moyano, Paul Dubin, Vincent M. Rotello
Enhanced Electrostatic Discrimination Of Proteins On Nanoparticle-Coated Surfaces, Yisheng Xu, Yoni Engel, Yunfeng Yan, Kaimin Chen, Daniel F. Moyano, Paul Dubin, Vincent M. Rotello
Paul Dubin
Two β-lactoglobulin (BLG) isoforms, BLGA and BLGB, were used as a test bed for the differentiation of proteins using electrostatics. In these studies, the BLGA and BLGB binding to a highly charged, cationic gold nanoparticle (GNP) modified surface was investigated by atomic force microscopy (AFM) and surface plasmon resonance (SPR) spectroscopy. The binding affinity, and more importantly, the selectivity of this surface towards these two almost identical protein isoforms were both significantly increased on the cationic GNP surface array relative to the values measured with the same free cationic GNP in solution. While protein recognition is traditionally achieved almost exclusively …
Nambu-Goldstone Modes And Diffuse Deformations In Elastic Shells, Christian Santangelo
Nambu-Goldstone Modes And Diffuse Deformations In Elastic Shells, Christian Santangelo
Christian Santangelo
I consider the shape of a deformed elastic shell. Using the fact that the lowest-energy, small deformations are along infinitesimal isometries of the shell's mid-surface, I describe a class of weakly stretching deformations for thin shells based on the Nambu–Goldstone modes associated with those isometries. The main result is an effective theory to describe the diffuse deformations of thin shells that incorporate stretching and bending energies. The theory recovers previous results for the propagation of a “pinch” on a cylinder. A cone, on the other hand, has two length scales governing the persistence of a pinch: one governing the relaxation …
Protein–Polyelectrolyte Interactions, A. Basak Kayitmazer, Daniel Seeman, Burcu Baykal Minsky, Paul Dubin, Yisheng Xu
Protein–Polyelectrolyte Interactions, A. Basak Kayitmazer, Daniel Seeman, Burcu Baykal Minsky, Paul Dubin, Yisheng Xu
Paul Dubin
The interactions of proteins and polyelectrolytes lead to diverse applications in separations, delivery and wound repair, and are thus of interest to scientists in e.g. (a) glycobiology, (b) tissue engineering, (c) biosensing, and (d) pharmacology. This breadth is accompanied by an assortment of contexts and models in which polyelectrolytes are seen as (a) protein cognates assisting in complex cellular roles, (b) surrogates for the extracellular matrix, mimicking its hydration, mechanical and sequestering properties, (c) benign hosts that gently entrap, deposit and tether protein substrate specificity, and (d) selective but non-specific agents that modify protein solubility. Unsurprisingly, this literature is somewhat …
An X-Rays Survey Of The Young Stellar Population Of The Lynds 1641 And Iota Orionis Regions, I. Pillitteri, S.J. Wolk, S.T. Megeath, L. Allen, J. Bally, Marc Gagne, R. A. Gutermuth, L. Hartman, G. Micela, P. Myers, J.M. Oliveira, S. Sciortino, F. Walter, L. Redbull, J. Stauffer
An X-Rays Survey Of The Young Stellar Population Of The Lynds 1641 And Iota Orionis Regions, I. Pillitteri, S.J. Wolk, S.T. Megeath, L. Allen, J. Bally, Marc Gagne, R. A. Gutermuth, L. Hartman, G. Micela, P. Myers, J.M. Oliveira, S. Sciortino, F. Walter, L. Redbull, J. Stauffer
Robert A. Gutermuth
We present an XMM-Newton survey of the part of the Orion A cloud south of the Orion Nebula. This survey includes the Lynds 1641 (L1641) dark cloud, a region of the Orion A cloud with very few massive stars and hence a relatively low ambient UV flux, and the region around the O9 III star ι Orionis. In addition to proprietary data, we used archival XMM data of the Orion Nebula Cluster (ONC) to extend our analysis to a major fraction of the Orion A cloud. We have detected 1060 X-ray sources in L1641 and the ι Ori region. About …
The Lmt Galaxies 3 Mm Spectroscopic Survey: First Results, D. Rosa Gonzalez, P. Schloerb, O. Vega, L. Hunt, Gopal Narayanan, D. Calzetti, M. Yun, E. Terlevich, R. J. Terlevich, Y. D. Mayya, M. Chavez, A. Montana, A. M. Perez Garcia
The Lmt Galaxies 3 Mm Spectroscopic Survey: First Results, D. Rosa Gonzalez, P. Schloerb, O. Vega, L. Hunt, Gopal Narayanan, D. Calzetti, M. Yun, E. Terlevich, R. J. Terlevich, Y. D. Mayya, M. Chavez, A. Montana, A. M. Perez Garcia
Gopal Narayanan
The molecular phase of the interstellar medium (ISM) in galaxies offers fundamental insight for understanding star-formation processes and how stellar feedback affects the nuclear activity of certain galaxies. We present here Large Millimeter Telescope spectra obtained with the Redshift Search Receiver, a spectrograph that covers simultaneously the 3 mm band from 74 to 111 GHz with a spectral resolution of around 100 km/s. Our selected galaxies, have been detected previously in HCN, and have different degrees of nuclear activity — one normal galaxy (NGC 6946), the starburst prototype (M82) and two %ultraluminous infrared galaxies (ULIRGs, IRAS 17208-0014 and Mrk 231). …
Abundant Cyanopolyynes As A Probe Of Infall In The Serpens South Cluster-Forming Region, R.K. Friesen, L. Medeiros, S. Schnee, T.L. Bourke, J. Di Francesco, R. A. Gutermuth, P.C. Myers
Abundant Cyanopolyynes As A Probe Of Infall In The Serpens South Cluster-Forming Region, R.K. Friesen, L. Medeiros, S. Schnee, T.L. Bourke, J. Di Francesco, R. A. Gutermuth, P.C. Myers
Robert A. Gutermuth
No abstract provided.
The Cos-Halos Survey: Rationale, Design, And A Census Of Circumgalactic Neutral Hydrogen, Jason Tumlinson, Christopher Thom, Jessica K. Werk, J. Xavier Prochaska, Todd M. Tripp, Neal S. Katz, Romeel Dave, Benjamin D. Oppenheimer, Joseph D. Meiring, Amanda Brady Ford, John M. O'Meara, Molly S. Peeples, Kenneth R. Sembach, David H. Weinberg
The Cos-Halos Survey: Rationale, Design, And A Census Of Circumgalactic Neutral Hydrogen, Jason Tumlinson, Christopher Thom, Jessica K. Werk, J. Xavier Prochaska, Todd M. Tripp, Neal S. Katz, Romeel Dave, Benjamin D. Oppenheimer, Joseph D. Meiring, Amanda Brady Ford, John M. O'Meara, Molly S. Peeples, Kenneth R. Sembach, David H. Weinberg
Neal S. Katz
We present the design and methods of the COS-Halos survey, a systematic investigation of the gaseous halos of 44 z = 0.15-0.35 galaxies using background QSOs observed with the Cosmic Origins Spectrograph aboard the Hubble Space Telescope. This survey has yielded 39 spectra of z em sime 0.5 QSOs with S/N ~10-15 per resolution element. The QSO sightlines pass within 150 physical kpc of the galaxies, which span early and late types over stellar mass log M */M ☉ = 9.5-11.5. We find that the circumgalactic medium exhibits strong H I, averaging sime 1 Å in Lyα equivalent width out …
Co Abundance Variations In The Orion Molecular Cloud, F. Ripple, M.H. Heyer, R. A. Gutermuth, R.L. Snell, C.M. Brunt
Co Abundance Variations In The Orion Molecular Cloud, F. Ripple, M.H. Heyer, R. A. Gutermuth, R.L. Snell, C.M. Brunt
Robert A. Gutermuth
Infrared stellar photometry from the Two Micron All-Sky Survey (2MASS) and spectral line imaging observations of 12CO and 13CO J = 1–0 line emission from the Five College Radio Astronomy Observatory (FCRAO) 14-m telescope are analysed to assess the variation of the CO abundance with physical conditions throughout the Orion A and Orion B molecular clouds. Three distinct Av regimes are identified in which the ratio between the 13CO column density and visual extinction changes corresponding to the photon-dominated envelope, the strongly self-shielded interior, and the cold, dense volumes of the clouds. Within the strongly self-shielded interior of the Orion …
Hydrogen & Metal Line Absorption Around Low-Redshift Galaxies In Cosmological Hydrodynamic Simulations, Amanda Brady Ford, Benjamin D. Oppenheimer, Romeel Dave, Neal S. Katz, Juna A. Kolmeier, David H. Weinberg
Hydrogen & Metal Line Absorption Around Low-Redshift Galaxies In Cosmological Hydrodynamic Simulations, Amanda Brady Ford, Benjamin D. Oppenheimer, Romeel Dave, Neal S. Katz, Juna A. Kolmeier, David H. Weinberg
Neal S. Katz
We study the physical conditions of the circumgalactic medium (CGM) around z = 0.25 galaxies as traced by H I and metal line absorption, using cosmological hydrodynamic simulations that include galactic outflows. Using lines of sight targeted at impact parameters from 10 kpc to 1 Mpc around galaxies with halo masses from 1011–1013 M⊙, we study the physical conditions and their variation with impact parameter b and line-of-sight velocity Δv in the CGM as traced by H I, Mg II, Si IV, C IV, O VI and Ne VIII absorbers. All ions show a strong excess of absorption near galaxies …
Filamentary Accretion Flows In The Embedded Serpens South Protocluster, Helen Kirk, Philip C. Myers, Tyler L. Bourke, R. A. Gutermuth, Abigail Hedden, Grant W. Wilson
Filamentary Accretion Flows In The Embedded Serpens South Protocluster, Helen Kirk, Philip C. Myers, Tyler L. Bourke, R. A. Gutermuth, Abigail Hedden, Grant W. Wilson
Robert A. Gutermuth
Filamentary structures are ubiquitous from large-scale molecular clouds (a few parsecs) to small-scale circumstellar envelopes around Class 0 sources (~1000 AU to ~0.1 pc). In particular, recent observations with the Herschel Space Observatory emphasize the importance of large-scale filaments (a few parsecs) and star formation. The small-scale flattened envelopes around Class 0 sources are reminiscent of the large-scale filaments. We propose an observationally derived scenario for filamentary star formation that describes the evolution of filaments as part of the process for formation of cores and circumstellar envelopes. If such a scenario is correct, small-scale filamentary structures (0.1 pc in length) …
The High-Ion Content And Kinematics Of Low-Redshift Lyman Limit Systems, Andrew J. Fox, Nicolas Lehner, Jason Tumlinson, J. Christopher Howk, Todd M. Tripp, J. Xavier Prochaska, John M. O'Meara, Jessica K. Werk, Rognmon Bordoloi, Neal S. Katz, Benjamin D. Oppenheimer, Romeel Dave
The High-Ion Content And Kinematics Of Low-Redshift Lyman Limit Systems, Andrew J. Fox, Nicolas Lehner, Jason Tumlinson, J. Christopher Howk, Todd M. Tripp, J. Xavier Prochaska, John M. O'Meara, Jessica K. Werk, Rognmon Bordoloi, Neal S. Katz, Benjamin D. Oppenheimer, Romeel Dave
Neal S. Katz
We study the high-ion content and kinematics of the circumgalactic medium around low-redshift galaxies using a sample of 23 Lyman limit systems (LLSs) at 0.08 < z < 0.93 observed with the Cosmic Origins Spectrograph on board the Hubble Space Telescope. In Lehner et al., we recently showed that low-z LLSs have a bimodal metallicity distribution. Here we extend that analysis to search for differences between the high-ion and kinematic properties of the metal-poor and metal-rich branches. We find that metal-rich LLSs tend to show higher O VI columns and broader O VI profiles than metal-poor LLSs. The total H I line width (Δv 90 statistic) in LLSs is not correlated with metallicity, indicating that the H I kinematics alone cannot be used to distinguish inflow from outflow and gas recycling. Among the 17 LLSs with O VI detections, all but two show evidence of kinematic sub-structure, in the form of O VI-H I centroid offsets, multiple components, or both. Using various scenarios for how the metallicities in the high-ion and low-ion phases of each LLS compare, we constrain the ionized hydrogen column in the O VI phase to lie in the range log N(H II) ~ 17.6-20. The O VI phase of LLSs is a substantial baryon reservoir, with M(high-ion) ~ 108.5-10.9 (r/150 kpc)2 M ☉, similar to the mass in the low-ion phase. Accounting for the O VI phase approximately doubles the contribution of low-z LLSs to the cosmic baryon budget.
The Protoplanetary Disks In The Nearby Massive Star Forming Region Cygnus Ob2, M.G. Guarcello, J.J. Drake, N. J. Wright, J. E. Drew, R. A. Gutermuth, J. L. Hora, T. Naylor, T. Aldroft, A. Fruscione, D. Garcia-Alvarez, V. L. Kashyap, R. King
The Protoplanetary Disks In The Nearby Massive Star Forming Region Cygnus Ob2, M.G. Guarcello, J.J. Drake, N. J. Wright, J. E. Drew, R. A. Gutermuth, J. L. Hora, T. Naylor, T. Aldroft, A. Fruscione, D. Garcia-Alvarez, V. L. Kashyap, R. King
Robert A. Gutermuth
The formation of stars in massive clusters is one of the main modes of the star formation process. However, the study of massive star-forming regions is hampered by their typically large distances to the Sun. One exception to this is the massive star-forming region Cygnus OB2 in the Cygnus X region, at the distance of ~1400 pc. Cygnus OB2 hosts very rich populations of massive and low-mass stars, being the best target in our Galaxy to study the formation of stars, circumstellar disks, and planets in the presence of massive stars. In this paper, we combine a wide and deep …
Directed Ratchet Transport In Granular Chains, V. Berardi, J. Lydon, Panos Kevrekidis, C. Daraio, R. Carretero-Gonzalez
Directed Ratchet Transport In Granular Chains, V. Berardi, J. Lydon, Panos Kevrekidis, C. Daraio, R. Carretero-Gonzalez
Panos Kevrekidis
Directed-ratchet transport (DRT) in a one-dimensional lattice of spherical beads, which serves as a prototype for granular chains, is investigated. We consider a system where the trajectory of the central bead is prescribed by a biharmonic forcing function with broken time-reversal symmetry. By comparing the mean integrated force of beads equidistant from the forcing bead, two distinct types of directed transport can be observed—spatial and temporal DRT. Based on the value of the frequency of the forcing function relative to the cutoff frequency, the system can be categorized by the presence and magnitude of each type of DRT. Furthermore, we …
Chiral Cp^2 Skyrmions In Three-Band Superconductors, Garaud Julien, Johan CarlstrOm, Egor Babaev, Martin Speight
Chiral Cp^2 Skyrmions In Three-Band Superconductors, Garaud Julien, Johan CarlstrOm, Egor Babaev, Martin Speight
Egor Babaev
No abstract provided.
Stripe, Gossamer, And Glassy Phases In Systems With Strong Non-Pairwise Interactions, Karl A. H. Sellin, Egor Babaev
Stripe, Gossamer, And Glassy Phases In Systems With Strong Non-Pairwise Interactions, Karl A. H. Sellin, Egor Babaev
Egor Babaev
We study structure formation in systems of classical particles in two dimensions with long-range attractive short-range repulsive two-body interactions and repulsive three-body interactions. Stripe, gossamer, and glass phases are found as a result of nonpairwise interaction.
Hierarchical Structure Formation In Layered Superconducting Systems With Multi-Scale Inter-Vortex Interactions, Christopher N. Varney, Karl A. H. Sellin, Qing-Ze Wang, Hans Fangohr, Egor Babaev
Hierarchical Structure Formation In Layered Superconducting Systems With Multi-Scale Inter-Vortex Interactions, Christopher N. Varney, Karl A. H. Sellin, Qing-Ze Wang, Hans Fangohr, Egor Babaev
Egor Babaev
We demonstrate the formation of hierarchical structures in two-dimensional systems with multiple length scales in the inter-particle interaction. These include states such as clusters of clusters, concentric rings, clusters inside a ring, and stripes in a cluster. We propose to realize such systems in vortex matter (where a vortex is mapped onto a particle with multi-scale interactions) in layered superconducting systems with varying inter-layer thicknesses and different layer materials.
Freezing Of An Unconventional Two-Dimensional Plasma, Egil V. Herland, Egor Babaev, Parsa Bonderson, Victor Gurarie, Chetan Nayak, Leo Radzihovsky, Asle Sudbo
Freezing Of An Unconventional Two-Dimensional Plasma, Egil V. Herland, Egor Babaev, Parsa Bonderson, Victor Gurarie, Chetan Nayak, Leo Radzihovsky, Asle Sudbo
Egor Babaev
No abstract provided.
Torus Orbits On Homogeneous Varieties And Kac Polynomials Of Quivers, Paul Gunnells, Emmanuel Letellier, Fernando Rodriguez Villegas
Torus Orbits On Homogeneous Varieties And Kac Polynomials Of Quivers, Paul Gunnells, Emmanuel Letellier, Fernando Rodriguez Villegas
Paul Gunnells
In this paper we prove that the counting polynomials of certain torus orbits in products of partial flag varieties coincides with the Kac polynomials of supernova quivers, which arise in the study of the moduli spaces of certain irregular meromorphic connections on trivial bundles over the projective line. We also prove that these polynomials can be expressed as a specialization of Tutte polynomials of certain graphs providing a combinatorial proof of the non-negativity of their coefficients.
Parametric Sensitivity Analysis For Stochastic Molecular Systems Using Information Theoretic Metrics, Anastasios Tsourtis, Yannis Pantazis, Markos Katsoulakis, Vagelis Harmandaris
Parametric Sensitivity Analysis For Stochastic Molecular Systems Using Information Theoretic Metrics, Anastasios Tsourtis, Yannis Pantazis, Markos Katsoulakis, Vagelis Harmandaris
Markos Katsoulakis
Background Stochastic modeling and simulation provide powerful predictive methods for the intrinsic understanding of fundamental mechanisms in complex biochemical networks. Typically, such mathematical models involve networks of coupled jump stochastic processes with a large number of parameters that need to be suitably calibrated against experimental data. In this direction, the parameter sensitivity analysis of reaction networks is an essential mathematical and computational tool, yielding information regarding the robustness and the identifiability of model parameters. However, existing sensitivity analysis approaches such as variants of the finite difference method can have an overwhelming computational cost in models with a high-dimensional parameter space. …