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Articles 1 - 18 of 18
Full-Text Articles in Physics
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 …
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. …
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 …
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 …
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.
Correlations Between The Dynamics Of Parallel Tempering And The Free Energy Landscape In Spin Glasses, Burcu Yucesoy, Jonathan Machta, Helmut G. Katzgraber
Correlations Between The Dynamics Of Parallel Tempering And The Free Energy Landscape In Spin Glasses, Burcu Yucesoy, Jonathan Machta, Helmut G. Katzgraber
Jonathan Machta
We present the results of a large-scale numerical study of the equilibrium three-dimensional Edwards-Anderson Ising spin glass with Gaussian disorder. Using parallel tempering (replica exchange) Monte Carlo we measure various static, as well as dynamical quantities, such as the autocorrelation times and round-trip times for the parallel tempering Monte Carlo method. The correlation between static and dynamic observables for 5000 disorder realizations and up to 1000 spins down to temperatures at 20% of the critical temperature is examined. Our results show that autocorrelation times are directly correlated with the roughness of the free-energy landscape.
Classification Of Ground States And Normal Modes For Phase-Frustrated, Daniel Weston, Egor Babaev
Classification Of Ground States And Normal Modes For Phase-Frustrated, Daniel Weston, Egor Babaev
Egor Babaev
No abstract provided.
Phase Structure And Phase Transitions In A Three Dimensional Su(2) Superconductor, Egil V. Herland, Troels A. Bojesen, Egor Babaev, Asle Sudb
Phase Structure And Phase Transitions In A Three Dimensional Su(2) Superconductor, Egil V. Herland, Troels A. Bojesen, Egor Babaev, Asle Sudb
Egor Babaev
No abstract provided.
Nature Vs. Nurture: Predictability In Low-Temperature Ising Dynamics, J. Ye, Jonathan Machta, C. M. Newman, D. L. Stein
Nature Vs. Nurture: Predictability In Low-Temperature Ising Dynamics, J. Ye, Jonathan Machta, C. M. Newman, D. L. Stein
Jonathan Machta
Consider a dynamical many-body system with a random initial state subsequently evolving through stochastic dynamics. What is the relative importance of the initial state (“nature”) versus the realization of the stochastic dynamics (“nurture”) in predicting the final state? We examined this question for the two-dimensional Ising ferromagnet following an initial deep quench from T=∞ to T=0. We performed Monte Carlo studies on the overlap between “identical twins” raised in independent dynamical environments, up to size L=500. Our results suggest an overlap decaying with time as t−θh with θh=0.22±0.02; the same exponent holds for a quench to low but nonzero temperature. …
Time Reversal Symmetry Breakdown In Normal And Superconducting States In Frustrated Three-Band Systems, Troels Arnfred Bojesen, Egor Babaev, Asle Sudbo
Time Reversal Symmetry Breakdown In Normal And Superconducting States In Frustrated Three-Band Systems, Troels Arnfred Bojesen, Egor Babaev, Asle Sudbo
Egor Babaev
We discuss the phase diagram and phase transitions in U(1)×Z2 three-band superconductors with broken time reversal symmetry. We find that beyond mean-field approximation and for sufficiently strong frustration of interband interactions there appears an unusual metallic state precursory to a superconducting phase transition. In that state, the system is not superconducting. Nonetheless, it features a spontaneously broken Z2 time reversal symmetry. By contrast, for weak frustration of interband coupling the energy of a domain wall between different Z2 states is low and thus fluctuations restore broken time reversal symmetry in the superconducting state at low temperatures.
Unusual Mechanism Of Vortex Viscosity Generated By Mixed Normal Modes In Superconductors With Broken Time Reversal Symmetry, Mihail Silaev, Egor Babaev
Unusual Mechanism Of Vortex Viscosity Generated By Mixed Normal Modes In Superconductors With Broken Time Reversal Symmetry, Mihail Silaev, Egor Babaev
Egor Babaev
We show that under certain conditions, multiband superconductors with broken time reversal symmetry have a vortex viscosity-generating mechanism which is different from that in conventional superconductors. It appears due to the existence of a mixed superfluid phase-density mode inside the vortex core. This contribution is dominant near the time reversal symmetry-breaking phase transition. The results could be relevant for the three-band superconductor Ba1−xKxFe2As2.