Tightness is proved for reversible gradient dynamics of critical strip-wetting models, and a new continuous wetting measure with a local-time tilt converges to reflecting Brownian motion as the strip shrinks, leaving a Bessel SPDE as the conjectured limit.
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On the gradient dynamics associated with wetting models
Tightness is proved for reversible gradient dynamics of critical strip-wetting models, and a new continuous wetting measure with a local-time tilt converges to reflecting Brownian motion as the strip shrinks, leaving a Bessel SPDE as the conjectured limit.