On microscopic derivation of a fractional stochastic Burgers equation
From MaRDI portal
Publication:5963762
DOI10.1007/s00220-015-2524-4zbMath1343.60087arXiv1409.0944OpenAlexW1644186056MaRDI QIDQ5963762
Publication date: 23 February 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.0944
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (5)
Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain ⋮ Hydrodynamic limits for long-range asymmetric interacting particle systems ⋮ Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes ⋮ Fractional Fick's law for the boundary driven exclusion process with long jumps ⋮ Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Renormalization group and stochastic PDEs
- Occupation times of long-range exclusion and connections to KPZ class exponents
- Solving the KPZ equation
- A theory of regularity structures
- A stochastic Burgers equation from a class of microscopic interactions
- Regularization by noise and stochastic Burgers equations
- A rigorous equation for the Cole-Hopf solution of the conservative KPZ equation
- Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
- Density fluctuations for exclusion processes with long jumps
- KPZ equation, its renormalization and invariant measures
- Generalized solutions of a class of nuclear-space-valued stochastic evolution equations
- Equilibrium fluctuations of stochastic particle systems: The role of conserved quantities
- Spectral gap for the zero range process with constant rate
- Order of current variance and diffusivity in the asymmetric simple exclusion process
- Spectral gap for zero-range processes with jump rate \(g(x)=x^{\gamma}\)
- Convergence of \({\mathcal S}'\)-valued processes and space-time random fields
- Invariant measures for the zero range process
- Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\)
- Fractal Burgers equations
- Burgers-KPZ turbulence. Göttingen lectures
- Stochastic Burgers and KPZ equations from particle systems
- Fluctuations in the occupation time of a site in the asymmetric simple exclusion process.
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Nonlinear fluctuations of weakly asymmetric interacting particle systems
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Convergence of the Two-Point Function of the Stationary TASEP
- Nonequilibrium statistical mechanics of the zero-range process and related models
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- A Central Limit Theorem for the Weakly Asymmetric Simple Exclusion Process
- A note on the diffusivity of finite-range asymmetric exclusion processes on Z
- Fractal Hamilton-Jacobi-KPZ equations
- Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
- On extremal measures for conservative particle systems
- Equilibrium fluctuations of asymmetric simple exclusion processes in dimension \(d\geq 3\)
This page was built for publication: On microscopic derivation of a fractional stochastic Burgers equation
