3 papers
cond-mat.stat-mech2024
Phase transitions beyond criticality: extending Ising universal scaling functions to describe entire phases
David Hathcock, James P. Sethna
Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incor…
cond-mat.stat-mech2019
Reaction rates and the noisy saddle-node bifurcation: Renormalization group for barrier crossing
David Hathcock, James P. Sethna
Barrier crossing calculations in chemical reaction-rate theory typically assume that the barrier is large compared to the temperature. When the barrier vanishes, however, there is…
q-bio.PE2018
Fitness dependence of the fixation-time distribution for evolutionary dynamics on graphs
David Hathcock, Steven H. Strogatz
Evolutionary graph theory models the effects of natural selection and random drift on structured populations of competing mutant and non-mutant individuals. Recent studies have fou…