Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are prone to become interlaced and form intricate architectures. Understanding the ensuing mechanical and relaxation properties depends critically on being able to capture such entanglement in quantitative terms. So far, this has been an elusive challenge. Here we introduce the first general characterization of non-ephemeral forms of entanglement in linear curves by introducing novel descriptors that extend topological measures of linking from close to open curves. We thus establish the concept of physical links. This general method is applied to diverse contexts: equilibrated ring polymers, mechanically-stretched links and concentrated solutions of...
We present atomistic molecular dynamics simulations of two Polyethylene systems where all entangleme...
Polymers and their elementary subunits, called monomers, come in an immense variety of structures an...
After many years of intense research, most aspects of the motion of entangled polymers have been und...
Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are pro...
Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are pro...
Linking, or multicomponent topological entanglement, is ubiquitous in soft matter systems, from mixt...
We use Brownian dynamics simulations and advanced topological profiling methods to characterize the ...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
We use Brownian dynamics simulations and advanced topological profiling methods to characterize the ...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
Olympic systems are collections of small ring polymers whose aggregate properties are largely charac...
We study catenated ring polymers confined inside channels and slits with Langevin dynamics simulatio...
Whether a large polymer is linear, simply branched like a star, or multiply branched dramatically af...
After many years of intense research, most aspects of the motion of entangled polymers have been und...
We present atomistic molecular dynamics simulations of two Polyethylene systems where all entangleme...
Polymers and their elementary subunits, called monomers, come in an immense variety of structures an...
After many years of intense research, most aspects of the motion of entangled polymers have been und...
Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are pro...
Fluctuating filaments, from densely-packed biopolymers to defect lines in structured fluids, are pro...
Linking, or multicomponent topological entanglement, is ubiquitous in soft matter systems, from mixt...
We use Brownian dynamics simulations and advanced topological profiling methods to characterize the ...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
We use Brownian dynamics simulations and advanced topological profiling methods to characterize the ...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
We develop topological methods for characterizing the relationship between polymer chain entanglemen...
Olympic systems are collections of small ring polymers whose aggregate properties are largely charac...
We study catenated ring polymers confined inside channels and slits with Langevin dynamics simulatio...
Whether a large polymer is linear, simply branched like a star, or multiply branched dramatically af...
After many years of intense research, most aspects of the motion of entangled polymers have been und...
We present atomistic molecular dynamics simulations of two Polyethylene systems where all entangleme...
Polymers and their elementary subunits, called monomers, come in an immense variety of structures an...
After many years of intense research, most aspects of the motion of entangled polymers have been und...