We uncover an unforeseen asymmetry in relaxation: for a pair of thermodynamically
equidistant temperature quenches, one from a lower and the other from a higher …

All natural phenomena are governed by energy landscapes. However, the direct
measurement of this fundamental quantity remains challenging, particularly in complex …

Stochastic network dynamics are typically assumed to be memoryless. Involving prolonged
dwells interrupted by instantaneous transitions between nodes, such Markov networks stand …

Many physical, chemical, and biological systems depend on the first passage time (FPT) of a
diffusive searcher to a target. Typically, this FPT is much slower than the characteristic …

Extreme value functionals of stochastic processes are inverse functionals of the first passage
time—a connection that renders their probability distribution functions equivalent. Here, we …

Relaxation and first passage processes are the pillars of kinetics in condensed matter,
polymeric and single-molecule systems. Yet, an explicit connection between relaxation and …

Over the years the field of non-Markovian stochastic processes and anomalous diffusion
evolved from a specialized topic to mainstream theory, which transgressed the realms of …

We investigate a class of diffusion-controlled reactions that are initiated at the time instance
when a prescribed number K among N particles independently diffusing in a solvent are …

We investigate a tight-binding quantum walk on a graph. Repeated stroboscopic
measurements of the position of the particle yield a measured “trajectory,” and a …

Thermal activation of a particle from a deep potential trap follows the Arrhenius law.
Recently, this result has been generalized for interacting diffusive particles in the trap …