22,037 research outputs found
Cuscuton kinks and branes
In this paper, we study a peculiar model for the scalar field. We add the
cuscuton term in a standard model and investigate how this inclusion modifies
the usual behavior of kinks. We find the first order equations and calculate
the energy density and the total energy of the system. Also, we investigate the
linear stability of the model, which is governed by a Sturm-Liouville
eigenvalue equation that can be transformed in an equation of the Shcr\"odinger
type. The model is also investigated in the braneworld scenario, where a first
order formalism is also obtained and the linear stability is investigated.Comment: 21 pages, 9 figures; content added; to appear in NP
On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
Elliptic flow at RHIC is computed event-by-event with NeXSPheRIO. We show
that when symmetry of the particle distribution in relation to the reaction
plane is assumed, as usually done in the experimental extraction of elliptic
flow, there is a disagreement between the true and reconstructed elliptic flows
(15-30% for =0, 30% for =0.5 GeV). We suggest a possible way to
take into account the asymmetry and get good agreement between these elliptic
flows
Critical properties of an aperiodic model for interacting polymers
We investigate the effects of aperiodic interactions on the critical behavior
of an interacting two-polymer model on hierarchical lattices (equivalent to the
Migadal-Kadanoff approximation for the model on Bravais lattices), via
renormalization-group and tranfer-matrix calculations. The exact
renormalization-group recursion relations always present a symmetric fixed
point, associated with the critical behavior of the underlying uniform model.
If the aperiodic interactions, defined by s ubstitution rules, lead to relevant
geometric fluctuations, this fixed point becomes fully unstable, giving rise to
novel attractors of different nature. We present an explicit example in which
this new attractor is a two-cycle, with critical indices different from the
uniform model. In case of the four-letter Rudin-Shapiro substitution rule, we
find a surprising closed curve whose points are attractors of period two,
associated with a marginal operator. Nevertheless, a scaling analysis indicates
that this attractor may lead to a new critical universality class. In order to
provide an independent confirmation of the scaling results, we turn to a direct
thermodynamic calculation of the specific-heat exponent. The thermodynamic free
energy is obtained from a transfer matrix formalism, which had been previously
introduced for spin systems, and is now extended to the two-polymer model with
aperiodic interactions.Comment: 19 pages, 6 eps figures, to appear in J. Phys A: Math. Ge
Quantum motion of a spinless particle in curved space: A viewpoint of scattering theory
In this work, we study the scattering of a spinless charged particle
constrained to move on a curved surface in the presence of the Aharonov-Bohm
potential. We begin with the equations of motion for the surface and transverse
dynamics previously obtained in the literature (Ferrari G. and Cuoghi G., Phys.
Rev. Lett. \textbf{100}, 230403 (2008)) and describe the surface with
non-trivial curvature in terms of linear defects such as dislocations and
disclinations. Expressions for the modified phase shift, S--matrix and
scattering amplitude are determined by applying a suitable boundary condition
at the origin, which comes from the self-adjoint extension theory. We also
discuss the presence of a bound state obtained from the pole of the S--matrix.
Finally, we claim that the bound state, the additional scattering and the
dependence of the scattering amplitude with energy are solely due to the
curvature effects.Comment: 9 pages, 1 figur
Chiral spin-orbital liquids with nodal lines
Strongly correlated materials with strong spin-orbit coupling hold promise
for realizing topological phases with fractionalized excitations. Here we
propose a chiral spin-orbital liquid as a stable phase of a realistic model for
heavy-element double perovskites. This spin liquid state has Majorana fermion
excitations with a gapless spectrum characterized by nodal lines along the
edges of the Brillouin zone. We show that the nodal lines are topological
defects of a non-Abelian Berry connection and that the system exhibits
dispersing surface states. We discuss some experimental signatures of this
state and compare them with properties of the spin liquid candidate Ba_2YMoO_6.Comment: 5 pages + supplementary materia
Analytical results for long time behavior in anomalous diffusion
We investigate through a Generalized Langevin formalism the phenomenon of
anomalous diffusion for asymptotic times, and we generalized the concept of the
diffusion exponent. A method is proposed to obtain the diffusion coefficient
analytically through the introduction of a time scaling factor . We
obtain as well an exact expression for for all kinds of diffusion.
Moreover, we show that is a universal parameter determined by the
diffusion exponent. The results are then compared with numerical calculations
and very good agreement is observed. The method is general and may be applied
to many types of stochastic problem
The influence of statistical properties of Fourier coefficients on random surfaces
Many examples of natural systems can be described by random Gaussian
surfaces. Much can be learned by analyzing the Fourier expansion of the
surfaces, from which it is possible to determine the corresponding Hurst
exponent and consequently establish the presence of scale invariance. We show
that this symmetry is not affected by the distribution of the modulus of the
Fourier coefficients. Furthermore, we investigate the role of the Fourier
phases of random surfaces. In particular, we show how the surface is affected
by a non-uniform distribution of phases
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