Self-similar behavior of the exchange-driven growth model with product kernel

DOI10.1080/03605302.2020.1845205zbMath1467.82049arXiv2005.11980OpenAlexW3135960386MaRDI QIDQ4994926

André Schlichting, Constantin Eichenberg

Publication date: 22 June 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11980

zbMATH Keywords

self-similaritycoarseningNash inequalityexchange-driven growthNash continuity

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Related Items (3)

A Becker-Döring type model for cell polarization ⋮ Coagulation equations with source leading to anomalous self-similarity ⋮ On a singular Lifshitz-Slyozov-Wagner model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of condensation in the symmetric inclusion process
• Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\)
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• On the evolution of large clusters in the Becker-Döring model
• Condensation in the zero range process: stationary and dynamical properties
• A martingale problem for an absorbed diffusion: the nucleation phase of condensing zero range processes
• Analytic proof of dual variational formula for the first eigenvalue in dimension one
• The exchange-driven growth model: basic properties and longtime behavior
• A variational proof of Nash's inequality
• Large time behavior of exchange-driven growth
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• Structure of the condensed phase in the inclusion process
• Derivation of mean-field equations for stochastic particle systems
• Dynamics of condensation in the totally asymmetric inclusion process
• Coarsening dynamics of zero-range processes
• Coarsening dynamics in condensing zero-range processes and size-biased birth death chains
• Mathematical theory of exchange-driven growth
• Continuity of Solutions of Parabolic and Elliptic Equations
• Condensation in models with factorized and pair-factorized stationary states
• Sobolev inequalities for probability measures on the real line
• Macroscopic limit of the Becker–Döring equation via gradient flows
• Kinetische Behandlung der Keimbildung in übersättigten Dämpfen

This page was built for publication: Self-similar behavior of the exchange-driven growth model with product kernel