{Given|Offered|Provided} the {remarkable|outstanding|exceptional} developments in synthetic {control|manage|handle} {over|more than} colloidal particle chemical and physical properties, {it is|it’s|it really is|it truly is|it can be|it is actually} {interesting|fascinating|intriguing|exciting} {to see|to determine|to find out|to view} how stochastic thermodynamics {studies|research} {may|might|could|may possibly|may well|may perhaps} be performed with new, surrogate, or hybrid model systems. {In the|Within the|Inside the} present {work|function|perform|operate}, we apply stochastic dynamics and nonlinear optical light-matter interaction simulations to study non-equilibrium trajectories of {individual|person} Yb(III):Er(III) co-doped colloidal and nanoparticles driven by two-dimensional dynamic optical traps. We characterize the {role|function|part} of fluctuations {at the|in the} single particle level by analyzing position trajectories {as well|also|too|at the same time} as time-dependent upconversion and downconversion emission intensities. By integrating these two complementary perspectives, we show how the {methods|techniques|strategies|approaches|procedures|solutions} {developed|created} {here|right here} {can be|may be|could be|might be|is often|is usually} {used|utilized|employed|utilised|applied|made use of} to characterize {rare|uncommon} events. Formula of 2647503-30-6 2445347-90-8 In stock PMID:24633055

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