3 papers
cond-mat.stat-mech2026
Lattice Tadpoles
S G Whittington
We prove several rigorous results about the asymptotic behaviour of the numbers of tadpoles (or lassos) embedded in a lattice, including cases where the head is subject to a constr…
cond-mat.soft2026
Mixing, segregation, and collapse transitions of interacting copolymer rings
EJ Janse van Rensburg, E Orlandini, MC Tesi +1
A system of two self and mutual interacting ring polymers, close together in space, can display several competing equilibrium phases and phase transitions. Using Monte Carlo simula…
cond-mat.stat-mech2024
Exponential growth rate of lattice comb polymers
EJ Janse van Rensburg, SG Whittington
We investigate a lattice model of comb polymers and derive bounds on the exponential growth rate of the number of embeddings of the comb. A comb is composed of a backbone that is a…