TY - JOUR
T1 - Unbalanced Langmuir kinetics affects TASEP dynamical transitions: Mean-field theory
AU - Botto, Davide
AU - Pelizzola, Alessandro
AU - Pretti, Marco
AU - ZAMPARO, MARCO
PY - 2020
Y1 - 2020
N2 - In a previous study we developed a mean-field theory of dynamical transitions for the totally-asymmetric simple-exclusion process with open boundaries and Langmuir kinetics, in the so-called balanced regime, characterized by equal binding and unbinding rates. Here we show that simply including the possibility of unbalanced rates gives rise to an unexpectedly richer dynamical phase diagram. In particular, the current work predicts an unusual type of dynamical transition, which exhibits certain similarities with first-order phase transitions of equilibrium systems. We also point out that different types of dynamical transition are accompanied by different structural changes in the (mean-field) relaxation spectrum.
AB - In a previous study we developed a mean-field theory of dynamical transitions for the totally-asymmetric simple-exclusion process with open boundaries and Langmuir kinetics, in the so-called balanced regime, characterized by equal binding and unbinding rates. Here we show that simply including the possibility of unbalanced rates gives rise to an unexpectedly richer dynamical phase diagram. In particular, the current work predicts an unusual type of dynamical transition, which exhibits certain similarities with first-order phase transitions of equilibrium systems. We also point out that different types of dynamical transition are accompanied by different structural changes in the (mean-field) relaxation spectrum.
UR - https://iris.uniupo.it/handle/11579/173866
U2 - 10.1088/1751-8121/ab9b4e
DO - 10.1088/1751-8121/ab9b4e
M3 - Article
SN - 1751-8113
SP - 345001
JO - JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
JF - JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
ER -