Statistical-mechanical derivation of transport equations for glass-forming ionic liquids under a weak electric field based on time-convolutionless mode-coupling theory

DOI10.1016/j.physa.2019.121541OpenAlexW2945265827WikidataQ127823624 ScholiaQ127823624MaRDI QIDQ2162082

Reiji Takekawa, Michio Tokuyama, Junichi Kawamura

Publication date: 5 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121541

zbMATH Keywords

weak electric fieldionic conductivityionic liquidtime-convolutionless mode-coupling theoryeffective ion densityion-diffusion coefficient

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Time-convolutionless mode-coupling theory near the Glass transition--A recursion formula and its asymptotic solutions
• Phenomenological theory of a renormalized simplified model based on time-convolutionless mode-coupling theory near the glass transition
• Statistical-mechanical theory of nonlinear density fluctuations near the glass transition
• Reformulation of time-convolutionless mode-coupling theory near the glass transition
• A crucial role of long-range hydrodynamic interactions near the colloidal glass transition based on time-convolutionless mode-coupling theory
• On the relation between a length cutoff in time-convolutionless mode-coupling theory and a characteristic length at \(\beta\)-relaxation stage in glass-forming materials
• Statistical-Mechanical Theory of Random Frequency Modulations and Generalized Brownian Motions
• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
• Transport, Collective Motion, and Brownian Motion
• Generalized Cumulant Expansion Method