Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length B Li, P Liu, Z Xu, S Zhou Nonlinearity 26 (10), 2899, 2013 | 57 | 2013 |
Self-energy-modified Poisson-Nernst-Planck equations: WKB approximation and finite-difference approaches Z Xu, M Ma, P Liu Physical Review E 90 (1), 013307, 2014 | 48 | 2014 |
Field theory of reaction-diffusion: Law of mass action with an energetic variational approach Y Wang, C Liu, P Liu, B Eisenberg Physical Review E 102 (6), 062147, 2020 | 35 | 2020 |
Modified Poisson--Nernst--Planck model with accurate Coulomb correlation in variable media P Liu, X Ji, Z Xu SIAM Journal on Applied Mathematics 78 (1), 226-245, 2018 | 34 | 2018 |
Non-isothermal electrokinetics: energetic variational approach P Liu, S Wu, C Liu arXiv preprint arXiv:1710.08031, 2017 | 26 | 2017 |
Regulating sequence distribution of polyethers via ab initio kinetics control in anionic copolymerization Z Wu, P Liu, Y Liu, W Wei, X Zhang, P Wang, Z Xu, H Xiong Polymer Chemistry 8 (37), 5673-5678, 2017 | 16 | 2017 |
Asymptotic analysis on dielectric boundary effects of modified Poisson--Nernst--Planck equations L Ji, P Liu, Z Xu, S Zhou SIAM Journal on Applied Mathematics 78 (3), 1802-1822, 2018 | 13 | 2018 |
Energetic variational approach for prediction of thermal electrokinetics in charging and discharging processes of electrical double layer capacitors X Ji, C Liu, P Liu, S Zhou Journal of Power Sources 551, 232184, 2022 | 11 | 2022 |
Global existence of the non-isothermal Poisson–Nernst–Planck–Fourier system CY Hsieh, TC Lin, C Liu, P Liu Journal of Differential Equations 269 (9), 7287-7310, 2020 | 11 | 2020 |
Ion-dependent DNA configuration in bacteriophage capsids P Liu, J Arsuaga, MC Calderer, D Golovaty, M Vazquez, S Walker Biophysical journal 120 (16), 3292-3302, 2021 | 6 | 2021 |
Understanding depletion induced like-charge attraction from self-consistent field model P Liu, M Ma, Z Xu Communications in Computational Physics 22 (1), 95-111, 2017 | 5 | 2017 |
A Fast Method for Evaluating Green's Function in Irregular Domains with Application to Charge Interaction in a Nanopore Q Zhao, P Liu, Z Xu Commun. Comput. Phys. 24, 1214-1258, 2018 | 3 | 2018 |
A high-accurate fast Poisson solver based on harmonic surface mapping algorithm J Liang, P Liu, Z Xu Communications in Computational Physics, 2021 | 1 | 2021 |
Generalized Shockley–Ramo theorem in electrolytes P Liu, C Liu, Z Xu Communications in Mathematical Sciences 15 (2), 2017 | 1 | 2017 |
Helical organization of DNA-like liquid crystal filaments in cylindrical viral capsids P Liu, J Arsuaga, MC Calderer, D Golovaty, M Vazquez, S Walker Proceedings of the Royal Society A 478 (2266), 20220047, 2022 | | 2022 |