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NON EQUILIBRIUM DENSITY PROFILES IN LORENTZ TUBES WITH THERMOSTATED BOUNDARIES
EQUILIBRIUM DENSITY PROFILES THERMOSTATED BOUNDARIES
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2015/9/29
We consider a long Lorentz tube with absorbing boundaries.
Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
Purity of boundaries of open complex varieties
Mixed Hodge theory of singular varieties intersection cohomology resolution of singularities
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2012/6/25
We study the boundary of an open smooth complex algebraic variety $U$. We ask when the cohomology of the geometric boundary $Z=X\setminus U$ in a smooth compactification $X$ is pure with respect to th...
Algebraic boundaries of Hilbert's SOS cones
Positive polynomials K3 surfaces Hilbert's SOS cones
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2011/8/31
Abstract: We study the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary q...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics quantum eigenvalue equations gauge invariant
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2011/7/7
Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a one dimens...
Steady flow through a circular vertical pipe with slip at the permeable boundaries with an applied magnetic field
Circular vetical pipe permeable walls magnetic field
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2010/9/27
The hydromagnetic steady flow of a viscous incompressible conducting fluid in a circular vertical pipe with slip at the permeable boundaries is investigated. Analytical solutions are constructed for t...
On hitting times of affine boundaries by reflecting Brownian motion and Bessel processes
Reflecting Brownian motion Bessel process hitting time linear boundary
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2011/1/20
Firstly, we compute the distribution function for the hitting time of a linear time-dependent boundary t 7→ a + bt, a ≥ 0, b ∈ R, by a reflecting Brownian motion.
Some results concerning the $p$-Royden and $p$-harmonic boundaries of a graph of bounded degree
p-Royden boundary p-harmonic boundary p-harmonic function
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2011/1/20
Let p be a real number greater than one and let be a connected graph of bounded degree. We show that the p-Royden boundary of with the p-harmonic boundary removed is a F-set. We...
A new representation for the partition function of the six vertex model with domain wall boundaries
Mathematical Physics (math-ph) Statistical Mechanics (cond-mat.stat-mech) Exactly Solvable and Integrable Systems (nlin.SI)
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2010/11/11
We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is giv...
Cell-Like Equivalences and Boundaries of CAT(0) Groups
Cell-Like Equivalences Boundaries of CAT(0) Groups
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2010/11/11
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group a...
Virtual boundaries of Hadamard spaces with admissible actions of higher rank
Hadamard spaces math
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2010/11/19
Any discrete action of a group on a locally compact Hadamard space extends to a topological action on the virtual boundary. Croke and Kleiner introduced a class of so-called admissible actions and as...
Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
Gromov Cauchy causal boundaries Riemannian
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2010/11/11
Recently, the old notion of causal boundary for a spacetime V has been redefined in a consistent way. The computation of this boundary $\partial V$ for a standard conformally stationary spacetime V = ...
Inter-particle gap distribution and spectral rigidity of totally asymmetric simple exclusion process with open boundaries
Inter-particle gap distribution spectral rigidity totally asymmetric simple exclusion process open boundaries
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2010/11/10
We consider the one-dimensional totally asymmetric simple exclusion model (TASEP model) with open boundary conditions and present the analytical computations leading to the exact formula for distance...
Pseudodifferential operators on manifolds with foliated boundaries
Pseudodifferential operators manifolds with foliated boundaries
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2010/12/9
Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a ‘resolution’ in terms of a fibra-tion, we construct a pseudodifferential calculus generalizing ...
Spectral Properties of Grain Boundaries at Small Angles of Rotation
Schr¨odinger operators eigenvalues spectral gaps
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2010/12/9
We study some spectral properties of a simple two-dimensional model for small angle defects in crystals and alloys. Starting from a periodic potential V : R2 → R, we let V#(x, y) = V (x, y) in the rig...
Boundaries of escaping Fatou components
Boundaries Fatou components
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2010/12/10
Let f be a transcendental entire function and U be a Fatou com-ponent of f. We show that if U is an escaping wandering domain of f, then most boundary points of U (in the sense of harmonic measure) ar...