10,064 research outputs found
Biosatellite attitude stabilization and control system
Design and operation of attitude stabilization and control system for Biosatellit
The role of initial conditions in the ageing of the long-range spherical model
The kinetics of the long-range spherical model evolving from various initial
states is studied. In particular, the large-time auto-correlation and -response
functions are obtained, for classes of long-range correlated initial states,
and for magnetized initial states. The ageing exponents can depend on certain
qualitative features of initial states. We explicitly find the conditions for
the system to cross over from ageing classes that depend on initial conditions
to those that do not.Comment: 15 pages; corrected some typo
Critical Langevin dynamics of the O(N)-Ginzburg-Landau model with correlated noise
We use the perturbative renormalization group to study classical stochastic
processes with memory. We focus on the generalized Langevin dynamics of the
\phi^4 Ginzburg-Landau model with additive noise, the correlations of which are
local in space but decay as a power-law with exponent \alpha in time. These
correlations are assumed to be due to the coupling to an equilibrium thermal
bath. We study both the equilibrium dynamics at the critical point and quenches
towards it, deriving the corresponding scaling forms and the associated
equilibrium and non-equilibrium critical exponents \eta, \nu, z and \theta. We
show that, while the first two retain their equilibrium values independently of
\alpha, the non-Markovian character of the dynamics affects the dynamic
exponents (z and \theta) for \alpha < \alpha_c(D, N) where D is the spatial
dimensionality, N the number of components of the order parameter, and
\alpha_c(x,y) a function which we determine at second order in 4-D. We analyze
the dependence of the asymptotic fluctuation-dissipation ratio on various
parameters, including \alpha. We discuss the implications of our results for
several physical situations
Dynamic crossover in the global persistence at criticality
We investigate the global persistence properties of critical systems relaxing
from an initial state with non-vanishing value of the order parameter (e.g.,
the magnetization in the Ising model). The persistence probability of the
global order parameter displays two consecutive regimes in which it decays
algebraically in time with two distinct universal exponents. The associated
crossover is controlled by the initial value m_0 of the order parameter and the
typical time at which it occurs diverges as m_0 vanishes. Monte-Carlo
simulations of the two-dimensional Ising model with Glauber dynamics display
clearly this crossover. The measured exponent of the ultimate algebraic decay
is in rather good agreement with our theoretical predictions for the Ising
universality class.Comment: 5 pages, 2 figure
Knife River Indian Villages Archaeological Program: An Overview
The Knife River Indian Villages are located in North Dakota near the confluence of the Knife and Missouri Rivers, just north of the contemporary town of Stanton, North Dakota. They lie within the area between the Garrison Dam to the north and the Oahe Reservoir to the south, the last remaining unflooded segment of the Missouri River valley in the Dakotas. Within the area are river floodplains, terraces, dissected breaks and upland rolling terrain. Forests occur on the floodplain and lower terraces with a variety of native and exotic grasses found on the breaks and uplands. A number of relatively undisturbed archaeological sites occur along this stretch of river, an area which historical1y was the homeland of both the Hidatsa and Mandan Indians. The Knife River Indian Villages are the northernmost cluster of sites. They are the final major village complex representing the pinnacle of Hidatsa and Mandan cultural development in an unbroken occupational sequence spanning at least 500 years. They occur in an area that, even today, is considered only marginal1y suited for agriculture, yet they represent intensive occupation by semi-sedentary horticulturalists. This strategic location along the river also provided the villagers an opportunity to serve and prosper as key middleman traders between the Euro-Americans to the east and the Indians to the west, expanding upon a tradition which developed from earlier centuries of trading with their nomadic neighbors. Historically, the villages are rich in associations with prominent figures in the history of the American westward expansion as well as the earlier fur trade era. There is a wealth of historical data pertaining to the Lewis and Clark visits to the villages (1804-1806) and later documentation by the famous artists George Catlin and Karl Bodmer (1832-1834). Throughout this period the Hidatsa and Mandan were affected dramatically by the EuroAmerican influence resulting in unparal1eled change and innovation in both material culture and social organization. It was also this association that lead to the decimation of the Hidatsa and Mandan population through the spread of smal1pox through a series of outbreaks culminating in a major epidemic (1837) which forever altered these peoples\u27 culture
Dynamical phase coexistence: A simple solution to the "savanna problem"
We introduce the concept of 'dynamical phase coexistence' to provide a simple
solution for a long-standing problem in theoretical ecology, the so-called
"savanna problem". The challenge is to understand why in savanna ecosystems
trees and grasses coexist in a robust way with large spatio-temporal
variability. We propose a simple model, a variant of the Contact Process (CP),
which includes two key extra features: varying external
(environmental/rainfall) conditions and tree age. The system fluctuates locally
between a woodland and a grassland phase, corresponding to the active and
absorbing phases of the underlying pure contact process. This leads to a highly
variable stable phase characterized by patches of the woodland and grassland
phases coexisting dynamically. We show that the mean time to tree extinction
under this model increases as a power-law of system size and can be of the
order of 10,000,000 years in even moderately sized savannas. Finally, we
demonstrate that while local interactions among trees may influence tree
spatial distribution and the order of the transition between woodland and
grassland phases, they do not affect dynamical coexistence. We expect dynamical
coexistence to be relevant in other contexts in physics, biology or the social
sciences.Comment: 8 pages, 7 figures. Accepted for publication in Journal of
Theoretical Biolog
Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
We consider the Renyi entanglement entropies in the one-dimensional XX
spin-chains with open boundary conditions in the presence of a magnetic field.
In the case of a semi-infinite system and a block starting from the boundary,
we derive rigorously the asymptotic behavior for large block sizes on the basis
of a recent mathematical theorem for the determinant of Toeplitz plus Hankel
matrices. We conjecture a generalized Fisher-Hartwig form for the corrections
to the asymptotic behavior of this determinant that allows the exact
characterization of the corrections to the scaling at order o(1/l) for any n.
By combining these results with conformal field theory arguments, we derive
exact expressions also in finite chains with open boundary conditions and in
the case when the block is detached from the boundary.Comment: 24 pages, 9 figure
Entanglement versus mutual information in quantum spin chains
The quantum entanglement of a bipartite quantum Ising chain is compared
with the mutual information between the two parts after a local measurement
of the classical spin configuration. As the model is conformally invariant, the
entanglement measured in its ground state at the critical point is known to
obey a certain scaling form. Surprisingly, the mutual information of classical
spin configurations is found to obey the same scaling form, although with a
different prefactor. Moreover, we find that mutual information and the
entanglement obey the inequality in the ground state as well as in a
dynamically evolving situation. This inequality holds for general bipartite
systems in a pure state and can be proven using similar techniques as for
Holevo's bound.Comment: 10 pages, 3 figure
Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
Within the universality class of ferromagnetic vector models with O(n)
symmetry and purely dissipative dynamics, we study the non-equilibrium critical
relaxation from a magnetized initial state. Transverse correlation and response
functions are exactly computed for Gaussian fluctuations and in the limit of
infinite number n of components of the order parameter. We find that the
fluctuation-dissipation ratios (FDRs) for longitudinal and transverse modes
differ already at the Gaussian level. In these two exactly solvable cases we
completely describe the crossover from the short-time to the long-time
behavior, corresponding to a disordered and a magnetized initial condition,
respectively. The effects of non-Gaussian fluctuations on longitudinal and
transverse quantities are calculated in the first order in the
epsilon-expansion and reliable three-dimensional estimates of the two FDRs are
obtained.Comment: 41 pages, 9 figure
Quantum Quench in the Transverse Field Ising Chain
We consider the time evolution of observables in the transverse field Ising
chain (TFIC) after a sudden quench of the magnetic field. We provide exact
analytical results for the asymptotic time and distance dependence of one- and
two-point correlation functions of the order parameter. We employ two
complementary approaches based on asymptotic evaluations of determinants and
form-factor sums. We prove that the stationary value of the two-point
correlation function is not thermal, but can be described by a generalized
Gibbs ensemble (GGE). The approach to the stationary state can also be
understood in terms of a GGE. We present a conjecture on how these results
generalize to particular quenches in other integrable models.Comment: 4 pages, 1 figur
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