Length-scales in sheared soft matter depend sensitively on molecular interactions

Scacchi, A.; Mazza, M. G.; Archer, A. J.

doi:10.48550/arxiv.2008.09428

Cited by 1 publication

(1 citation statement)

References 53 publications

(73 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Brader and Schmidt [24] discussed effects of shear flow on the time-dependent diffusion tensor. Scacchi et al [447] studied the influence of shear on length scales in soft matter. Polymer DDFT (see Section 3.2.3) is also frequently applied to sheared systems [51,[433][434][435][436][437][438][439][440][441][442][443][444][445][446].…”

Section: Shear Flowmentioning

confidence: 99%

Classical dynamical density functional theory: from fundamentals to applications

Vrugt

Löwen

Wittkowski

2020

Advances in Physics

189

220

View full text Add to dashboard Cite

Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern statistical mechanics. It is an extension of the highly successful method of classical density functional theory (DFT) to nonequilibrium systems. Originally developed for the treatment of simple and complex fluids, DDFT is now applied in fields as diverse as hydrodynamics, materials science, chemistry, biology, and plasma physics. In this review, we give a broad overview over classical DDFT. We explain its theoretical foundations and the ways in which it can be derived. The relations between the different forms of deterministic and stochastic DDFT as well as between DDFT and related theories, such as quantum-mechanical time-dependent DFT, mode coupling theory, and phase field crystal models, are clarified. Moreover, we discuss the wide spectrum of extensions of DDFT, which covers methods with additional order parameters (like extended DDFT), exact approaches (like power functional theory), and systems with more complex dynamics (like active matter). Finally, the large variety of applications, ranging from fluid mechanics and polymer physics to solidification, pattern formation, biophysics, and electrochemistry, is presented.

show abstract