Symmetry-breaking dynamical phase transitions (DPTs) abound in the fluctuations of nonequilibrium systems. Here we show that spectral features a particular class DPTs exhibit fingerprints recently discovered time-crystal matter. Using Doob's transform as tool, provide mechanism to build generators from rare event statistics some driven diffusive An analysis smart field terms order parameter transition then leads exclusion process (tcEP), stochastic lattice gas subject an external packing...

Large deviation theory provides the framework to study probability of rare fluctuations time-averaged observables, opening new avenues research in nonequilibrium physics. Some most appealing results within this context are dynamical phase transitions (DPTs), which might occur at level trajectories order maximize sustaining a event. While macroscopic fluctuation has underpinned much recent progress on understanding symmetry-breaking DPTs driven diffusive systems, their microscopic...

Large deviation theory provides the framework to study probability of rare fluctuations time-averaged observables, opening new avenues research in nonequilibrium physics. One most appealing results within this context are dynamical phase transitions (DPTs), which might occur at level trajectories order maximize sustaining a event. While Macroscopic Fluctuation Theory has underpinned much recent progress on understanding symmetry-breaking DPTs driven diffusive systems, their microscopic...

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in fluctuations time-integrated observables within classical systems. particular, analyze how these impose stringent constraints on structure eigenvectors system generator dynamics. Additionally, identify a transition to time-crystal model driven-diffusive lattice gas. The study then allows identification "packing-field" mechanism responsible for its emergence. This is exploited...

Time crystals are many-body systems that spontaneously break time-translation symmetry, and thus exhibit long-range spatiotemporal order robust periodic motion. Recent results have demonstrated how to build time-crystal phases in driven diffusive fluids using an external packing field coupled density fluctuations. Here we exploit this mechanism engineer control on-demand custom continuous time characterized by arbitrary number of rotating condensates, which can be further enhanced with...

Abstract In this article, we present a simple, inexpensive, and effective method for measuring the capacitor charge discharge processes using light-emitting diode (LED) light meter of smartphone. We propose simple circuit in which LED’s brightness is linear on capacitor’s voltage, allowing us to use smartphone monitor state accurately. The tested experimentally, giving highly satisfactory results. Its exceptional combination accuracy, minimal requirements, ease setup makes it an excellent...