Statics and dynamics of DNA knotting

E Orlandini - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
Knots and entanglement in polymers and biopolymers such as DNA and proteins constitute
a timely topic that spans various scientific disciplines ranging from physics to chemistry …

Statistical mechanics of polymers subject to a force

E Orlandini, SG Whittington - Journal of Physics A: Mathematical …, 2016 - iopscience.iop.org
When a polymer molecule is subjected to a force (such as a tensile force) it responds and
this response gives information about the thermodynamics and structural properties of the …

Fluctuations of the Bose–Einstein condensate

S Chatterjee, P Diaconis - Journal of Physics A: Mathematical …, 2014 - iopscience.iop.org
This paper gives a rigorous analysis of the fluctuations of the Bose–Einstein condensate for
a system of non-interacting bosons in an arbitrary potential, assuming that the system is …

Adsorbed self-avoiding walks subject to a force

EJJ van Rensburg, SG Whittington - Journal of Physics A …, 2013 - iopscience.iop.org
We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer
can be desorbed by the application of a force. In this paper the force is applied normal to the …

Pulling adsorbed self-avoiding walks from a surface

AJ Guttmann, I Jensen… - Journal of Physics A …, 2013 - iopscience.iop.org
We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer
can be desorbed by the application of a force, concentrating on the case of the square …

Self-avoiding walks subject to a force

EJJ van Rensburg, SG Whittington - Journal of Physics A …, 2016 - iopscience.iop.org
We prove some theorems about self-avoiding walks attached to an impenetrable surface (ie
positive walks) and subject to a force. Specifically we show the force dependence of the free …

Crossing random walks and stretched polymers at weak disorder

D Ioffe, Y Velenik - 2012 - projecteuclid.org
We consider a model of a polymer in ℤ d+ 1, constrained to join 0 and a hyperplane at
distance N. The polymer is subject to a quenched nonnegative random environment …

The critical pulling force for self-avoiding walks

NR Beaton - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
Self-avoiding walks (SAWs) are a simple and well-known model of long, flexible polymers in
a good solvent. Polymers being pulled away from a surface by an external agent can be …

Self-avoiding walks adsorbed at a surface and pulled at their mid-point

EJJ van Rensburg, SG Whittington - Journal of Physics A …, 2017 - iopscience.iop.org
We consider a self-avoiding walk on the d-dimensional hypercubic lattice, terminally
attached to an impenetrable hyperplane at which it can adsorb. When a force is applied the …

Stretched polygons in a lattice tube

M Atapour, CE Soteros… - Journal of Physics A …, 2009 - iopscience.iop.org
We examine the topological entanglements of polygons confined to a lattice tube and under
the influence of an external tensile force f. The existence of the limiting free energy for these …