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Geometric formulation of state-dependent Langevin dynamics using scalar free energy
Kento Yasuda, Zhongqiang Xiong, Zhanglin Hou +3
Stochastic dynamics with state-dependent diffusion arise broadly in confined, anisotropic, and hydrodynamically coupled systems. The conventional Langevin equation contains a spuri…
Covariant Onsager and Onsager-Machlup principles for active and inertial dynamics
Kento Yasuda, Bin Zheng, Zhongqiang Xiong +5
The Onsager principle provides a variational route to the phenomenological equations of dissipative dynamics through the minimization of the Rayleighian. We develop a covariant for…
Neural optimization of the most probable paths of 3D active Brownian particles
Bin Zheng, Zhongqiang Xiong, Changhao Li +7
We develop a variational neural-network framework to determine the most probable path (MPP) of a 3D active Brownian particle (ABP) by directly minimizing the Onsager-Machlup integr…
Elastic interactions compete with persistent cell motility to drive durotaxis
Subhaya Bose, Haiqin Wang, Xinpeng Xu +2
The directed migration of cells toward stiffer substrate regions or durotaxis is relevant to tissue development and tumor progression. Here, we introduce a phenomenological model f…
Deep learning-based computational method for soft matter dynamics: Deep Onsager-Machlup method
Zhihao Li, Boyi Zou, Haiqin Wang +3
A deep learning-based computational method is proposed for soft matter dynamics -- the deep Onsager-Machlup method (DOMM). It combines the brute forces of deep neural networks (DNN…
Activity-assisted barrier-crossing of self-propelled colloids over parallel microgrooves
Yan Wen, Zhihao Li, Haiqin Wang +5
We report a systematic study of the dynamics of self-propelled particles (SPPs) over a one-dimensional periodic potential landscape, which is fabricated on a microgroove-patterned…
Dynamics of flexible fibers in confined shear flows at finite Reynolds numbers
Jian Su, Kun Ma, Zhongyu Yan +2
We carry out a numerical study on the dynamics of a single non-Brownian flexible fiber in two-dimensional Couette flows at finite Reynolds numbers. We employ the bead-spring model…
Variational approximation method for the long-range force transmission in biopolymer gels
Haiqin Wang, Xinpeng Xu
The variational principle of minimum free energy (MFEVP) has been widely used in the study of soft matter statics. MFEVP can be used not only to derive equilibrium equations (inclu…
Variational methods and deep Ritz method for active elastic solids
Haiqin Wang, Boyi Zou, Jian Su +2
Variational methods have been widely used in soft matter physics for both static and dynamic problems. These methods are mostly based on two variational principles: the variational…
Onsager's variational principle in active soft matter
Haiqin Wang, Tiezheng Qian, Xinpeng Xu
Onsager's variational principle (OVP) was originally proposed by Lars Onsager in 1931 [L. Onsager, , 1931, , 405]. This fundamental principle provides a very powerf…
Continuum elastic models for force transmissions in biopolymer gels
Haiqin Wang, Xinpeng Xu
We review continuum elastic models for the transmission of both external forces and internal active cellular forces in biopolymer gels, and relate them to recent experiments. Rathe…
Generalized Lorentz reciprocal theorem in complex fluids and in non-isothermal systems
Xinpeng Xu, Tiezheng Qian
The classical Lorentz reciprocal theorem (LRT) was originally derived for slow viscous flows of incompressible Newtonian fluids under the isothermal condition. In the present work,…
Molecular dynamics simulations of active Brownian particles in dilute suspension: diffusion in free space and distribution in confinement
Liya Wang, Xinpeng Xu, Zhigang Li +1
In this work, we report a new method to simulate active Brownian particles (ABPs) in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle…
Defect removal by solvent vapor annealing in thin films of lamellar diblock copolymers
Xinpeng Xu, Xingkun Man, Masao Doi +2
Solvent vapor annealing (SVA) is known to be a simple, low-cost and highly efficient technique to produce defect-free diblock copolymer (BCP) thin films. Not only can the solvent w…
Pancake bouncing on superhydrophobic surfaces
Yahua Liu, Lisa Moevius, Xinpeng Xu +3
Engineering surfaces that promote rapid drop detachment is of importance to a wide range of applications including anti-icing, dropwise condensation6, and self-cleaning. Here we sh…