22,487 research outputs found
Multi-point local height probabilities of the CSOS model within the algebraic Bethe Ansatz framework
We study the local height probabilities of the exactly solvable cyclic
solid-on-solid model within the algebraic Bethe Ansatz framework. We more
specifically consider multi-point local height probabilities at adjacent sites
on the lattice. We derive multiple integral representations for these
quantities at the thermodynamic limit, starting from finite-size expressions
for the corresponding multi-point matrix elements in the Bethe basis as sums of
determinants of elliptic functions.Comment: 39 page
Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
We pursue our study of the antiperiodic dynamical 6-vertex model using
Sklyanin's separation of variables approach, allowing in the model new possible
global shifts of the dynamical parameter. We show in particular that the
spectrum and eigenstates of the antiperiodic transfer matrix are completely
characterized by a system of discrete equations. We prove the existence of
different reformulations of this characterization in terms of functional
equations of Baxter's type. We notably consider the homogeneous functional
- equation which is the continuous analog of the aforementioned discrete
system and show, in the case of a model with an even number of sites, that the
complete spectrum and eigenstates of the antiperiodic transfer matrix can
equivalently be described in terms of a particular class of its -solutions,
hence leading to a complete system of Bethe equations. Finally, we compute the
form factors of local operators for which we obtain determinant representations
in finite volume.Comment: 52 page
Modified quasilinearization method for solving nonlinear equations
Modified quasilinearization algorithm for solving nonlinear equation
Modelling financial markets by the multiplicative sequence of trades
We introduce the stochastic multiplicative point process modelling trading
activity of financial markets. Such a model system exhibits power-law spectral
density S(f) ~ 1/f**beta, scaled as power of frequency for various values of
beta between 0.5 and 2. Furthermore, we analyze the relation between the
power-law autocorrelations and the origin of the power-law probability
distribution of the trading activity. The model reproduces the spectral
properties of trading activity and explains the mechanism of power-law
distribution in real markets.Comment: 6 pages, 2 figure
Shock-waves and commutation speed of memristors
Progress of silicon based technology is nearing its physical limit, as
minimum feature size of components is reaching a mere 10 nm. The resistive
switching behaviour of transition metal oxides and the associated memristor
device is emerging as a competitive technology for next generation electronics.
Significant progress has already been made in the past decade and devices are
beginning to hit the market; however, it has been mainly the result of
empirical trial and error. Hence, gaining theoretical insight is of essence. In
the present work we report the striking result of a connection between the
resistive switching and {\em shock wave} formation, a classic topic of
non-linear dynamics. We argue that the profile of oxygen vacancies that migrate
during the commutation forms a shock wave that propagates through a highly
resistive region of the device. We validate the scenario by means of model
simulations and experiments in a manganese-oxide based memristor device. The
shock wave scenario brings unprecedented physical insight and enables to
rationalize the process of oxygen-vacancy-driven resistive change with direct
implications for a key technological aspect -- the commutation speed.Comment: Featured in Physics Synopsis: "Waves that Shock Resistance" (Mar. 15,
2016). http://physics.aps.org/synopsis-for/10.1103/PhysRevX.6.01102
Different steady states for spin currents in noncollinear multilayers
We find there are at least two different steady states for transport across
noncollinear magnetic multilayers. In the conventional one there is a
discontinuity in the spin current across the interfaces which has been
identified as the source of current induced magnetic reversal; in the one
advocated herein the spin torque arises from the spin accumulation transverse
to the magnetization of a magnetic layer. These two states have quite different
attributes which should be discerned by current experiments.Comment: 8 pages, no figure. Accepted for publication in Journal of Physics:
Condensed Matte
Lorentz Transformation from Symmetry of Reference Principle
The Lorentz Transformation is traditionally derived requiring the Principle
of Relativity and light-speed universality. While the latter can be relaxed,
the Principle of Relativity is seen as core to the transformation. The present
letter relaxes both statements to the weaker, Symmetry of Reference Principle.
Thus the resulting Lorentz transformation and its consequences (time
dilatation, length contraction) are, in turn, effects of how we manage space
and time.Comment: 2 page
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