Rare events in stochastic partial differential equations on large spatial domains
From MaRDI portal
Publication:937114
DOI10.1007/s10955-008-9537-8zbMath1214.82072OpenAlexW2047425673MaRDI QIDQ937114
Eric Vanden-Eijnden, Maria G. Westdickenberg
Publication date: 20 August 2008
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-008-9537-8
phase transformationrare eventsmetastabilitynucleationstochastic partial differential equationsmall noiselarge deviation theoryspatially extended system
Diffusion (76R50) Large deviations (60F10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Related Items
Interface dynamics of a metastable mass-conserving spatially extended diffusion, Metastability of the nonlinear wave equation: insights from transition state theory, Computing transition rates for the 1-D stochastic Ginzburg-Landau-Allen-Cahn equation for finite-amplitude noise with a rare event algorithm, On the existence of solution for a Cahn-Hilliard/Allen-Cahn equation, Large deviations approach to a one-dimensional, time-periodic stochastic model of pattern formation, Metadynamics for Transition Paths in Irreversible Dynamics, Action minimization for an Allen-Cahn equation with an unequal double-well potential, Sharp asymptotics of metastable transition times for one dimensional SPDEs, Degenerate Nucleation in the Cahn--Hilliard--Cook Model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Collective phenomena in interacting particle systems
- Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times
- Testing transition state theory on Kac-Zwanzig model
- Mathematical methods for hydrodynamic limits
- Wulff droplets and the metastable relaxation of kinetic Ising models
- Spatial patterns when phases separate in an interacting particle system
- Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
- Phase separation and random domain patterns in a stochastic particle model
- Brownian fluctuations of the interface in the \(D=1\) Ginzburg-Landau equation with noise
- Metropolis dynamics relaxation via nucleation and growth
- Central limit theory for the number of seeds in a growth model in \(\mathbb{R}^ d\) with inhomogeneous Poisson arrivals
- Limit theorems for monotonic particle systems and sequential deposition.
- Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
- Invariant measures of stochastic partial differential equations and conditioned diffusions
- Interface fluctations for the 1D stochastic Ginzburg-Landau equation with nonsymmetric reaction term
- The scaling limit for a stochastic PDE and the separation of phases
- Towards a theory of transition paths
- A general stochastic model for nucleation and linear growth
- Singular Perturbation Methods in Stochastic Differential Equations of Mathematical Physics
- Large fluctuations for a nonlinear heat equation with noise
- Persistence of Dynamical Systems under Random Perturbations
- The Exit Problem for Randomly Perturbed Dynamical Systems
- On the distribution of the length of the longest increasing subsequence of random permutations
- Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
- Glauber evolution with Kac potentials: III. Spinodal decomposition
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Statistical self-similarity of one-dimensional growth processes
- Stochastic Equations in Infinite Dimensions
