Diffusion effects of hydrogen bond fluctuations. I. The long time regime of the translational and rotational diffusion of water

1989 ◽  
Vol 91 (2) ◽  
pp. 1179-1190 ◽  
Author(s):  
Davide Bertolini ◽  
Mario Cassettari ◽  
Mauro Ferrario ◽  
Paolo Grigolini ◽  
Giuseppe Salvetti ◽  
...  
Keyword(s):  
Hydrogen Bond ◽  
Rotational Diffusion ◽  
Diffusion Effects ◽  
Time Regime ◽  
Long Time ◽  
Translational And Rotational Diffusion

scholarly journals Shape-designed frustration by local polymorphism in a near-equilibrium colloidal glass

2015 ◽  
Vol 112 (39) ◽  
pp. 12063-12068 ◽  
Author(s):  
Kun Zhao ◽  
Thomas G. Mason
Keyword(s):  
Rotational Diffusion ◽  
2D Systems ◽  
Entropy Maximization ◽  
Glass Forming ◽  
Disordered Structure ◽  
Long Time ◽  
Translational And Rotational Diffusion ◽  
Colloidal Glass

We show that hard, convex, lithographic, prismatic kite platelets, each having three 72° vertices and one 144° vertex, preferentially form a disordered and arrested 2D glass when concentrated quasi-statically in a monolayer while experiencing thermal Brownian fluctuations. By contrast with 2D systems of other hard convex shapes, such as squares, rhombs, and pentagons, which readily form crystals at high densities, 72° kites retain a liquid-like disordered structure that becomes frozen-in as their long-time translational and rotational diffusion become highly bounded, yielding a 2D colloidal glass. This robust glass-forming propensity arises from competition between highly diverse few-particle local polymorphic configurations (LPCs) that have incommensurate features and symmetries. Thus, entropy maximization is consistent with the preservation of highly diverse LPCs en route to the arrested glass.

Effect of non-uniform passive advection on A+B->C radial reaction-diffusion fronts 

2021 ◽  
Author(s):  
Alessandro Comolli ◽  
Anne De Wit ◽  
Fabian Brau
Keyword(s):  
Molecular Diffusion ◽  
Early Time ◽  
Reaction Diffusion ◽  
Transport Processes ◽  
Calcium Carbonate Precipitation ◽  
Atmospheric Reactions ◽  
Passive Advection ◽  
Reaction Fronts ◽  
Time Regime ◽  
Long Time

<p>The interplay between chemical and transport processes can give rise to complex reaction fronts dynamics, whose understanding is crucial in a wide variety of environmental, hydrological and biological processes, among others. An important class of reactions is A+B->C processes, where A and B are two initially segregated miscible reactants that produce C upon contact. Depending on the nature of the reactants and on the transport processes that they undergo, this class of reaction describes a broad set of phenomena, including combustion, atmospheric reactions, calcium carbonate precipitation and more. Due to the complexity of the coupled chemical-hydrodynamic systems, theoretical studies generally deal with the particular case of reactants undergoing passive advection and molecular diffusion. A restricted number of different geometries have been studied, including uniform rectilinear [1], 2D radial [2] and 3D spherical [3] fronts. By symmetry considerations, these systems are effectively 1D.</p><p>Here, we consider a 3D axis-symmetric confined system in which a reactant A is injected radially into a sea of B and both species are transported by diffusion and passive non-uniform advection. The advective field <em>v<sub>r</sub>(r,z)</em> describes a radial Poiseuille flow. We find that the front dynamics is defined by three distinct temporal regimes, which we characterize analytically and numerically. These are i) an early-time regime where the amount of mixing is small and the dynamics is transport-dominated, ii) a strongly non-linear transient regime and iii) a long-time regime that exhibits Taylor-like dispersion, for which the system dynamics is similar to the 2D radial case.</p><p>                                  <img src="https://contentmanager.copernicus.org/fileStorageProxy.php?f=gnp.ff5ab530bdff57321640161/sdaolpUECMynit/12UGE&app=m&a=0&c=360a1556c809484116c55812c8c06624&ct=x&pn=gnp.elif&d=1" alt="" width="299" height="299">                                                     <img src="https://contentmanager.copernicus.org/fileStorageProxy.php?f=gnp.671a6980bdff51231640161/sdaolpUECMynit/12UGE&app=m&a=0&c=c5a857c3fab835057e3af84001a91d15&ct=x&pn=gnp.elif&d=1" alt="" width="302" height="302"></p><p>                                                   Fig. 1: Concentration profile of the product C in the transient (left) and asymptotic (right) regimes.</p><p> </p><p>References:</p><p>[1] L. Gálfi, Z. Rácz, Phys. Rev. A 38, 3151 (1988);</p><p>[2] F. Brau, G. Schuszter, A. De Wit, Phys. Rev. Lett. 118, 134101 (2017);</p><p>[3] A. Comolli, A. De Wit, F. Brau, Phys. Rev. E, 100 (5), 052213 (2019).</p>

scholarly journals Modeling Macromolecular Crowding through Translational and Rotational Diffusion of Small Molecular Probes

2016 ◽  
Vol 110 (3) ◽  
pp. 50a
Author(s):  
Megan Currie ◽  
Brenden Berry ◽  
Taylor Ward ◽  
Erin D. Sheets ◽  
Ahmed A. Heikal
Keyword(s):  
Rotational Diffusion ◽  
Macromolecular Crowding ◽  
Molecular Probes ◽  
Translational And Rotational Diffusion

scholarly journals Translational and rotational diffusion of micrometer-sized solid domains in lipid membranes

Soft Matter ◽  
2012 ◽  
Vol 8 (29) ◽  
pp. 7552 ◽  
Author(s):  
Eugene P. Petrov ◽  
Rafayel Petrosyan ◽  
Petra Schwille
Keyword(s):  
Lipid Membranes ◽  
Rotational Diffusion ◽  
Translational And Rotational Diffusion

Correlation between the translational and rotational diffusion of rod-shaped nanocargo on a lipid membrane revealed by single-particle tracking

Nanoscale ◽  
2019 ◽  
Vol 11 (20) ◽  
pp. 10080-10087 ◽  
Author(s):  
Liangna He ◽  
Yiliang Li ◽  
Lin Wei ◽  
Zhongju Ye ◽  
Hua Liu ◽  
...  
Keyword(s):  
Particle Tracking ◽  
Single Particle ◽  
Theoretical Basis ◽  
Rational Design ◽  
Lipid Membrane ◽  
Rotational Diffusion ◽  
Single Particle Tracking ◽  
Cellular Translocation ◽  
Diffusion Dynamics ◽  
Translational And Rotational Diffusion

Revealing the diffusion dynamics of nanoparticles on a lipid membrane plays an important role in a better understanding of the cellular translocation process and provides a theoretical basis for the rational design of delivery cargo.

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