367 citations · 3.3k across the 60 of their papers we have counts for
8 papers · 1 filter
Active sorting of particles as an illustration of the Gibbs mixing paradox
Cato Sandford, Daniel Seeto, Alexander Y. Grosberg
The Gibbs Mixing Paradox is a conceptual touchstone for understanding mixtures in statistical mechanics. While debates over the theoretical subtleties of particle distinguishabilit…
From statistics of regular tree-like graphs to distribution function and gyration radius of branched polymers
Alexander Y. Grosberg, Sergei K. Nechaev
We consider flexible branched polymer, with quenched branch structure, and show that its conformational entropy as a function of its gyration radius , at large , obeys, in th…
Activity induced phase separation
Alexander Y. Grosberg, Jean-François Joanny
We consider a mixture of passive (i.e., Brownian) and active (e.g., bacterial or colloidal swimmers) particles, and analyze the stability conditions of either uniformly mixed or ph…
Abundance of unknots in various models of polymer loops
N. T. Moore, A. Y. Grosberg
A veritable zoo of different knots is seen in the ensemble of looped polymer chains, whether created computationally or observed in vitro. At short loop lengths, the spectrum of kn…
Worm-like Polymer Loops and Fourier Knots
S. Rappaport, Y. Rabin, A. Yu. Grosberg
Every smooth closed curve can be represented by a suitable Fourier sum. We show that the ensemble of curves generated by randomly chosen Fourier coefficients with amplitudes invers…
How long does it take to pull an ideal polymer into a small hole?
A. Y. Grosberg, S. Nechaev, M. Tamm +1
We present scaling estimates for characteristic times and of pulling ideal linear and randomly branched polymers of monomers into a small hole by a f…
On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example
R. C. Lua, A. Y. Grosberg
We suggest and discuss a simple model of an ideal gas under the piston to gain an insight into the workings of the Jarzynski identity connecting the average exponential of the work…
Winding angle distribution for planar random walk, polymer ring entangled with an obstacle, and all that: Spitzer-Edwards-Prager-Frisch model revisited
A. Grosberg, H. Frisch
Using a general Green function formulation, we re-derive, both, (i) Spitzer and his followers results for the winding angle distribution of the planar Brownian motion, and (ii) Edw…