Superstatistics is a combination of two different statistics related to driven nonequilibrium systems with a stationary state and intensive parameter fluctuations. It includes Tsallis statistics as a special case.

Boltzmann Machine is a generative unsupervised model.

In the future, quantum computers could provide faster solutions for sampling problems than classical computers. Developing and testing new quantum algorithms could lead to significant speedup and solve bottleneck issues in machine learning, statistical physics, and optimization problems.

Interested in developing theoretical frameworks, new physics-informed machine learning, and artificial intelligence algorithms for biomedical optical imaging and novel image-guided intervention techniques in cancer research? Contact us at anna_yaroslavsky@uml.edu and caroline_desgranges@uml.edu

We investigate how active fluids respond to spatial light patterns through simulations and experiments on light-activated self-propelled colloidal particles.

Using the principles of statistical mechanics and thermodynamics, we can define eight different ensembles. In addition to the Guggenheim ensemble (the “fifth” statistical ensemble), one can modify the thermodynamic constraints to define three additional statistical ensembles. Brown, Hill, and Ray developed the isoenthalpic-isobaric ensemble (N, P, H), the grand-isochoric adiabatic (µ, V, L) ensemble, and the grand-isobaric adiabatic (µ, P, R) ensemble, using the Legendre-Laplace mapping procedure. Together with the microcanonical ensemble, they form a set of four adiabatic ensembles in which the value of a heat function is constant rather than the temperature.

The goal of this project is to create strategies that can control correlated noise to perform quantum operations like single and two-qubit gates. It’s essential to understand how the environment affects an out-of-equilibrium quantum system to build a fault-tolerant quantum computer and develop high-sensitivity sensors.

The study of the motion of small particles suspended in a fluid and moving under the influence of random forces resulting from collisions with fluid molecules induced by thermal fluctuations is known as Brownian motion. The thermal fluctuations occur on a much shorter timescale than that of the Brownian particle. Therefore, it is a good approximation to assume that the random forces are delta functions that are uncorrelated, as perceived by the particle on its own, much slower time scale. However, in reality, this is never exactly the case.