Critical path analysis for continuum percolation
Critical percolation on certain nonunimodular graphs.
Critical points of the Ginzburg-Landau functional on multiply-connected domains.
Criticality conditions for a finite homogenized natural-uranium fueled reactor with prescribed thermal neutron flux
Crystal lattices and sub-lattices
Cube root fluctuations for the corner growth model associated to the exclusion process.
Cycle structure of percolation on high-dimensional tori
In the past years, many properties of the largest connected components of critical percolation on the high-dimensional torus, such as their sizes and diameter, have been established. The order of magnitude of these quantities equals the one for percolation on the complete graph or Erdős–Rényi random graph, raising the question whether the scaling limits of the largest connected components, as identified by Aldous (1997), are also equal. In this paper, we investigate the cycle structureof the largest...
Cyclic Cohomology, Supersymmetry and KMS States The KMS States as Generalized Elliptic Operators
Decay for travelling waves in the Gross–Pitaevskii equation
Decay of covariances, uniqueness of ergodic component and scaling limit for a class of systems with non-convex potential
We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. Using a technique which decouples the neighboring vertices into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for -Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.
Decay of spatial correlations in thermal states
Decimation on the Two Dimensionnal Ising Model : Non Gibbsianness at Low Temperature. Almost Gibbsianness or Weak Gibbsianness ?
Decoherence of quantum Markov semigroups
Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent...
Dependence of the temperature of phase transitions on the size of the domain.
Depinning of a polymer in a multi-interface medium.
Derivation of a discrete Enskog equation from the dynamics of particles.
Derivation of Langevin dynamics in a nonzero background flow field
We propose a derivation of a nonequilibrium Langevin dynamics for a large particle immersed in a background flow field. A single large particle is placed in an ideal gas heat bath composed of point particles that are distributed consistently with the background flow field and that interact with the large particle through elastic collisions. In the limit of small bath atom mass, the large particle dynamics converges in law to a stochastic dynamics. This derivation follows the ideas of [P. Calderoni,...
Derivation of the drift diffusion Shockley-Read-Hall model for semiconductors
Derivazioni di equazioni cinetiche da sistemi di particelle