Stochastic processes are locally independent and fluctuation-driven incidents. The fluctuation, observed in several physical, chemical or biological systems, may happen in a process with wide varieties of the size of the phase space. For example, fluctuation is crucial in different biological systems related to a length scale at a single molecular level. In contrast, a stochastic climate model is related to a length scale of a few hundred kilometers. The underlying noise associated with a stochastic process doesn't always need to play a destructive role in the system responses.
With the understanding of modern non-equilibrium statistical mechanics (NESM), one can understand the constructive part of the fluctuations and explore the phase space of such beneficiary situations. Our current research is being pursued in the broad area of stochastic processes relevant to Physics, Chemistry and Biology. We focus on the working principles of different modern aspects of the NESM and their applications in different biophysical processes.
Short Term:
We identify a few potential issues that can immediately be investigated:
To investigate the process of information erasure in the presence and absence of an intrinsic potential field (in the presence of entropic gradients).
To encompass active Brownian particles that function within a setup of a Brownian Information Engine.
To understand the role of unbinding rates for Kinetic Proofreading within the framework of stochastic dynamics
To check controlled asymmetric resetting on the total moisture content may significantly affect the no-precipitation time in a drought-prone area.
Long Term:
To examine whether nature prefers to set optimum unbinding rates (or natural resetting) to give rise to Kinetic Proofreading (the optimum speed with precise accuracy).
Is the thermodynamic (or Information) cost minimum when a speed-accuracy trade-off exists in a decision-making process? The answer to this question will uncover a crucial energetic aspect of the Kinetic Proofreading process.
Can we use the properties of active materials to slow down (In order) the translocation speed of a macromolecule (Polyelectrolyte or DNA chain? This will lead to technology development using a translocation phenomenon in the DNA sequencing process.
In a broader sense, our long-term research interest is associated with studying the dynamics and the thermodynamics of soft matter and macro-molecules at the single-molecule level through fruitful collaboration with research groups worldwide.