Survival of a static target in a gas of diffusing particles with exclusion
Survival of a static target in a gas of diffusing particles with exclusion
Let a lattice gas of constant density, described by the symmetric simple exclusion process, be brought in contact with a "target": a spherical absorber of radius $R$. Employing the macroscopic fluctuation theory (MFT), we evaluate the probability ${\mathcal P}(T)$ that no gas particle hits the target until a long but …