1,982 research outputs found
One-dimensional anyons with competing -function and derivative -function potentials
We propose an exactly solvable model of one-dimensional anyons with competing
-function and derivative -function interaction potentials. The
Bethe ansatz equations are derived in terms of the -particle sector for the
quantum anyonic field model of the generalized derivative nonlinear
Schr\"{o}dinger equation. This more general anyon model exhibits richer physics
than that of the recently studied one-dimensional model of -function
interacting anyons. We show that the anyonic signature is inextricably related
to the velocities of the colliding particles and the pairwise dynamical
interaction between particles.Comment: 9 pages, 2 figures, minor changes, references update
Growth and Fecundity of Several Weed Species in Corn and Soybean
Do weeds that emerge later in the season justify additional control costs\u27? If crop yield is not reduced or few or no seeds arc added to the soil seed hank, then no control may he needed. Eight weed species were sown in corn (Zea mays L.) and soybean I Glycine max (L.) Mcrr.l (i) before crop emergence, (ii) at crop emergence, (iii) at V-1, and (iv) at V-2 stages of crop growth in 2002 and 2003. Weed seed was sown close to the crop row and thinned to 1.3 plants m 2• Weed growth and fecundity were influenced by species, time of planting, and year. Only barnyarclgrass (Echinochloa crus-galli L.), rcclroot pigwced (Amaranthus retniflexus L.), and vclvetlcaf (Abutilon theophrasti L.) survived to produce seed. Plants from the pre-emergence seeding had the largest canopy and produced the most seeds. Harnyardgrass had maximum canopy cover in early .July in corn and late .Inly in soybean hut only produced seed in corn. Rcclroot pigweecl and vclvctleaf had maximum canopy cover in late August or midSeptember, and some plants from most seeding elates survived and produced seed in both corn and soybean. However, plants that grew from seed sown at V-1 and V-2 crnp grnwth stages did not reduce yield or biomass of adjacent crop plants, had low fecundity, and may not warrant treatment. Control may be necessary, however, to prevent yield losses if weeds arc present at high densities or to prevent establishment of uncommon species
Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons
and fermions with delta-interaction and arbitrary internal degrees of freedom
to the case of hard wall boundary conditions. We give an analysis of the ground
state properties of fermionic systems with two internal degrees of freedom,
including expansions of the ground state energy in the weak and strong coupling
limits in the repulsive and attractive regimes.Comment: 27 pages, 6 figures, key reference added, typos correcte
Spin chains and combinatorics: twisted boundary conditions
The finite XXZ Heisenberg spin chain with twisted boundary conditions was
considered. For the case of even number of sites , anisotropy parameter -1/2
and twisting angle the Hamiltonian of the system possesses an
eigenvalue . The explicit form of the corresponding eigenvector was
found for . Conjecturing that this vector is the ground state of the
system we made and verified several conjectures related to the norm of the
ground state vector, its component with maximal absolute value and some
correlation functions, which have combinatorial nature. In particular, the
squared norm of the ground state vector is probably coincides with the number
of half-turn symmetric alternating sign matrices.Comment: LaTeX file, 7 page
One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
This work presents the derivation of the large time and distance asymptotic
behavior of the field-field correlation functions of impenetrable
one-dimensional anyons at finite temperature. In the appropriate limits of the
statistics parameter, we recover the well-known results for impenetrable bosons
and free fermions. In the low-temperature (usually expected to be the
"conformal") limit, and for all values of the statistics parameter away from
the bosonic point, the leading term in the correlator does not agree with the
prediction of the conformal field theory, and is determined by the singularity
of the density of the single-particle states at the bottom of the
single-particle energy spectrum.Comment: 26 pages, RevTeX
Numerical simulations of the decay of primordial magnetic turbulence
We perform direct numerical simulations of forced and freely decaying 3D
magnetohydrodynamic turbulence in order to model magnetic field evolution
during cosmological phase transitions in the early Universe. Our approach
assumes the existence of a magnetic field generated either by a process during
inflation or shortly thereafter, or by bubble collisions during a phase
transition. We show that the final configuration of the magnetic field depends
on the initial conditions, while the velocity field is nearly independent of
initial conditions.Comment: 10 pages, 6 figures, references added, PRD accepte
Field momentum and gyroscopic dynamics of classical systems with topological defects
The standard relation between the field momentum and the force is generalized
for the system with a field singularity: in addition to the regular force,
there appear the singular one. This approach is applied to the description of
the gyroscopic dynamics of the classical field with topological defects. The
collective variable Lagrangian description is considered for gyroscopical
systems with account of singularities. Using this method we describe the
dynamics of two-dimensional magnetic solitons. We establish a relation between
the gyroscopic force and the singular one. An effective Lagrangian description
is discussed for the magnetic soliton dynamics.Comment: LaTeX, 19 page
Exact solution and surface critical behaviour of open cyclic SOS lattice models
We consider the -state cyclic solid-on-solid lattice models under a class
of open boundary conditions. The integrable boundary face weights are obtained
by solving the reflection equations. Functional relations for the fused
transfer matrices are presented for both periodic and open boundary conditions.
The eigen-spectra of the unfused transfer matrix is obtained from the
functional relations using the analytic Bethe ansatz. For a special case of
crossing parameter , the finite-size corrections to the
eigen-spectra of the critical models are obtained, from which the corresponding
conformal dimensions follow. The calculation of the surface free energy away
from criticality yields two surface specific heat exponents,
and , where
coprime to . These results are in agreement with the scaling relations
and .Comment: 13 pages, LaTeX, to appear in J. Phys.
Different facets of the raise and peel model
The raise and peel model is a one-dimensional stochastic model of a
fluctuating interface with nonlocal interactions. This is an interesting
physical model. It's phase diagram has a massive phase and a gapless phase with
varying critical exponents. At the phase transition point, the model exhibits
conformal invariance which is a space-time symmetry. Also at this point the
model has several other facets which are the connections to associative
algebras, two-dimensional fully packed loop models and combinatorics.Comment: 29 pages 17 figure
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