Zobrazeno 1 - 10
of 563
pro vyhledávání: '"Spohn, H."'
For stationary KPZ growth in 1+1 dimensions the height fluctuations are governed by the Baik-Rains distribution. Using the totally asymmetric single step growth model, alias TASEP, we investigate height fluctuations for a general class of spatially h
Externí odkaz:
http://arxiv.org/abs/1611.06690
We consider the Hamiltonian system of scalar wave field and a single nonrelativistic particle coupled in a translation invariant manner. The particle is also subject to a confining external potential. The stationary solutions of the system are a Coul
Externí odkaz:
http://arxiv.org/abs/1611.03272
We revisit the anchored Toom interface and use KPZ scaling theory to argue that the interface fluctuations are governed by the Airy_1 process with the role of space and time interchanged. There is no free parameter. The predictions are numerically we
Externí odkaz:
http://arxiv.org/abs/1405.7837
In a recent contribution, Dotsenko establishes a Fredholm determinant formula for the two-point distribution of the KPZ equation in the long time limit and starting from narrow wedge initial conditions. We establish that his expression is identical t
Externí odkaz:
http://arxiv.org/abs/1305.1217
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in long time limit to a sum of traveling wave and ou
Externí odkaz:
http://arxiv.org/abs/1012.3109
Publikováno v:
The Annals of Applied Probability, 2018 Jun 01. 28(3), 1573-1603.
Externí odkaz:
https://www.jstor.org/stable/26542346
The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fr\"{o}hlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise t
Externí odkaz:
http://arxiv.org/abs/math-ph/0612035
Publikováno v:
Russ. J. Math. Physics, 9 (2002), no. 2, 153-160
Solitary waves of relativistic invariant nonlinear wave equation with symmetry group U(1) are considered. We prove that the energy-momentum relation for spherically symmetric solitary waves coincides with the Einstein energy-momentum relation for poi
Externí odkaz:
http://arxiv.org/abs/math-ph/0508045
Publikováno v:
Markov Processes and Related Fields 8 (2002), no.1, 43-80
Consider the wave equation with constant or variable coefficients in $\R^3$. The initial datum is a random function with a finite mean density of energy that also satisfies a Rosenblatt- or Ibragimov-Linnik-type mixing condition. The random function
Externí odkaz:
http://arxiv.org/abs/math-ph/0508044
Autor:
Dudnikova, T. V., Spohn, H.
We consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary unit cell. The initial data are random according to a probability measure
Externí odkaz:
http://arxiv.org/abs/math-ph/0505031