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Related papers: Model for solvent viscosity effect on enzymatic re…

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We consider a system of nonlinear partial differential equations modelling the steady motion of an incompressible non-Newtonian fluid, which is chemically reacting. The governing system consists of a steady convection-diffusion equation for…

Numerical Analysis · Mathematics 2017-03-16 Seungchan Ko , Petra Pustejovská , Endre Süli

Energy transfer through quantum coherences plays an essential role in diverse natural phenomena and technological applications, such as human vision, light-harvesting complexes, quantum heat engines, and quantum information and computing.…

Chemical Physics · Physics 2019-12-23 J. Ma , H. Zhang , B. Lavorel , F. Billard , E. Hertz , J. Wu , C. Boulet , J. -M. Hartmann , O. Faucher

Simplified stochastic models are widely used in the study of frequency-resolved noise propagation in biochemical reaction networks, a common measure being the coherence between random fluctuations in molecule number trajectories. Such…

Molecular Networks · Quantitative Biology 2025-11-03 Juan David Marmolejo Lozano , Nikola Popovic , Ramon Grima

In the context of electromagnetism and nonlinear optical interactions damping is generally introduced as a phenomenological, viscous term that dissipates energy, proportional to the temporal derivative of the polarization. Here, we follow…

The phenomenon of drag reduction by polymer additives had been studied in simulations on the basis of non-Newtonian fluid mechanical models that take into account the field of polymer extension (conformation tensor) and its interaction with…

Fluid Dynamics · Physics 2009-11-10 Roberto Benzi , Emily S. C. Ching , Itamar Procaccia

Using molecular simulations and a modified Classical Nucleation Theory, we study the nucleation, under flow, of a variety of liquids: different water models, Lennard-Jones and hard sphere colloids. Our approach enables us to analyze a wide…

Soft Condensed Matter · Physics 2021-05-19 Amrita Goswami , Indranil Saha Dalal , Jayant K. Singh

In order to study rheological properties of gelling systems in dilute solution, we investigate the viscosity and the normal stresses in the Zimm model for randomly crosslinked monomers. The distribution of cluster topologies and sizes is…

Soft Condensed Matter · Physics 2007-05-23 Henning Löwe , Peter Müller , Annette Zippelius

We study the enzymatic degradation of an elastic fiber under tension using an an isotropic random-walk model, coupled with binding-unbinding reactions that weaken the fiber. The fiber is represented by a chain of elastic springs in series,…

Statistical Mechanics · Physics 2009-10-08 Ascânio D. Araújo , Arnab Majumdar , Harikrishnan Parame swaran , Béla Suki

The Enskog kinetic theory for moderately dense gas-solid suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the environmental fluid on solid particles is…

Statistical Mechanics · Physics 2020-06-22 Hisao Hayakawa , Satoshi Takada , Vicente Garzo

Many viscous liquids behave effectively as incompressible under high pressures but display a pronounced dependence of viscosity on pressure. The classical incompressible Navier-Stokes model cannot account for both features, and a simple…

Fluid Dynamics · Physics 2025-07-04 C. Balitactac , C. Rodriguez

We study two types of intrinsic uncertainties, statistical errors and system size effects, in estimating shear viscosity via equilibrium molecular dynamics simulations and compare them with the corresponding uncertainties in evaluating the…

Chemical Physics · Physics 2018-09-05 Kang-Sahn Kim , Myung Hoon Han , Changho Kim , Zhen Li , George Em Karniadakis , Eok Kyun Lee

Governing equations of motion for a viscous incompressible material surface are derived from the balance laws of continuum mechanics. The surface is treated as a time-dependent smooth orientable manifold of codimension one in an ambient…

Mathematical Physics · Physics 2018-10-10 Thomas Jankuhn , Maxim A. Olshanskii , Arnold Reusken

Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic…

Fluid Dynamics · Physics 2024-04-24 Rahul K. Singh , Prasad Perlekar , Dhrubaditya Mitra , Marco E. Rosti

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

Analysis of PDEs · Mathematics 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

We investigate with numerical simulations the molecular origin of viscosity in melts of flexible and semiflexible oligomer rings in comparison to corresponding systems with linear chains. The strong increase of viscosity with ring stiffness…

Soft Condensed Matter · Physics 2023-07-28 Ranajay Datta , Fabian Berressem , Friederike Schmid , Arash Nikoubashman , Peter Virnau

Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose…

Quantitative Methods · Quantitative Biology 2017-01-13 David Schnoerr , Guido Sanguinetti , Ramon Grima

Most cosmological models studied today are based on the assumption of homogeneity and isotropy. Observationally one can find evidence that supports these assumptions on very large scales, the strongest being the almost isotropy of the…

Astrophysics · Physics 2007-05-23 Christian Sicka , Thomas Buchert , Martin Kerscher

Experimentally determined empirical formulae for the concentration dependent relative permittivity of aqueous solutions of MgCl$_{2}$ and NiCl$_{2}$ are utilized to calculate the osmotic coefficient and the mean activity coefficient of…

Soft Condensed Matter · Physics 2025-04-01 A. O. Quiñones , Z. Abbas , C. W. Outhwaite , L. B. Bhuiyan

A nonperturbative electron transfer rate theory is developed based on the reduced density matrix dynamics, which can be evaluated readily for the Debye solvent model without further approximation. Not only does it recover for reaction rates…

Quantum Physics · Physics 2007-05-23 Ping Han , Rui-Xue Xu , Baiqing Li , Jian Xu , Ping Cui , Yan Mo , YiJing Yan

The associative interaction, such as hydrogen bonding, can bring about versatile functionalities to polymer systems, which has been investigated by tremendous researches, but the fundamental understanding on association process is still…

Soft Condensed Matter · Physics 2025-01-20 Xiangyu Zhang , Dong Meng