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College of Liberal Arts and Sciences | Mathematics

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February 21, 2019 | 1:00 p.m. - 2:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Dr. Chen Jia (Research Associate, Department of Mathematics, WSU)

Title: Mathematical foundation of nonequilibrium fluctuation-dissipation theorems for inhomogeneous Markov processes and a biological application

Nonequilibrium fluctuation-dissipation theorems (FDTs) are one of the most important advances in stochastic thermodynamics over the past two decades. In this talk, I will introduce the rigorous mathematical proofs of two types of nonequilibrium FDTs for inhomogeneous Markov chains and inhomogeneous diffusion processes with unbounded coefficients by using the Schauder estimates for parabolic equations and the theory of weakly continuous semigroups. An example is also given to show how the nonequilibrium FDTs can be applied to solve a practical biological problem about chemotaxis in bacteria.

[1] Chen, Y., Jia, C. & Jiang, D.-Q. Fluctuation-dissipation theorems for inhomogeneous Markov jump processes and a biochemical application. Journal of Mathematical Physics, 58, 023302 (2017).
[2] Jia, C. Nonequilibrium nature of adaptation in bacterial chemotaxis: A fluctuation-dissipation theorem approach. Physical Review E, 95, 042116 (2017).
[3] Chen, X & Jia, C. Mathematical foundation of nonequilibrium fluctuation-dissipation theorems for inhomogeneous diffusion processes with unbounded coefficients. To appear in Stochastic Processes and Their Applications (2019)
For more information about this event, please contact Department of Mathematics at 3135772479 or