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Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model
planar polygon models new SAW model
2015/3/19
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
An exact solution of the moving boundary problem for the relativistic plasma expansion in a dipole magnetic field
exact solution of the moving boundary problem relativistic plasma expansion dipole magnetic field Plasma Physics
2012/4/19
An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an external dipole magnetic field with an arbitrary orientation of the dipole moment in th...
Exact solution of a stochastic protein dynamics model with delayed degradation
protein dynamics model
2011/9/29
We study a stochastic model of protein dynamics that explicitly includes delay in the degradation.We rigorously derive the master equation for the processes and solve it exactly. We show that the equa...
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
2011/7/7
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
2010/12/28
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
2011/2/25
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Exact solution for a quantum nonequilibrium steady state exhibiting phase transition and a matrix product representation
quantum nonequilibrium steady state matrix product representation
2010/11/18
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described
by the Lindblad master equation. Analytical solution for the nonequilibrium steady state found for particu...
Exact solution of a 2D interacting fermion model
Exact solution a 2D interacting fermion model
2010/11/11
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model provides an effective description of spinless fermions on a square lattice w...
An Exact Solution of the Gamma Ray Burst Arrival Time Analysis Problem
Gamma Ray Bursts triangulation
2009/5/19
An analytical solution of the GRB arrival time analysis is
presented. The errors in the position of the GRB resulting from timing and
position errors of different satellites are calculated. A simple...
Exact solution of time fractional partial differential equation
Time fractional partial differential equation Laplace transform
2010/9/14
In this paper, a time fractional partial differential equation is considered,where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along wit...
An exact solution for the differential equation governing the lateral motion of thin plates subjected to lateral and in-plane loadings
The Adomian Decomposition Method (ADM) Thin plates
2010/9/13
One of the powerful analytical methods to solve partial differential equations is the Adomian decomposition method (ADM). This paper presents a novel approach for the dynamic analysis of a flexible pl...
Exact solution of a constrained optimization problem in thermoelectric cooling
Optimization Constrained nonlinear functional optimization
2010/9/10
We consider an optimization problem in thermoelectric cooling. The maximum achievable cooling temperature in thermoelectric cooling is, among other things, affected by the Seebeck coefficient profile ...
Representation of exact solution for singular boundary value problems of system of equations
System of equations Singular boundary value problem
2010/9/15
An approximation method with property of projection and interpolation for singular boundary value problems of system of equations under the reproducing kernel space W3 2 W3
2 is considered. The exac...