Research

I developed Caliber Force Theory (CFT), a Nonequilibrium framework parallel to the two-law Equilibrium Thermodynamics and Statistical Physics.

Synthesis: 

• Formulation: Yang & Dill, arXiv:2410.17495v3 (2025)

• Review and Posting the Problem: Pachter, Yang, and Dill,  Nat Rev Phys (2024) 

• Entropy Production is only an example of "process contrasting": Yang & Qian  Phys. Rev. E (2020)

1st Law: 

• for Stochastic Differential Equation:  Qian, Cheng and Yang,  EPL (2020);  Yang and Qian, J Stat Phys (2021); Yang and Cheng, J Phys A (2021).

• for continuous-time Markov Jump: Yang & Dill, arXiv:2410.17495v3 (2025)

• for discrete-time Markov chain: Yang and Qian,  Annals of Physics (2024) 

2nd Law:

• Large Deviation Theory & Statistical Uncertainty Principle: Yang and Qian,  Annals of Physics (2024) 

• Maximum Caliber: Yang and Qian,  Annals of Physics (2024) ; Yang & Dill, arXiv:2410.17495v3 (2025)

Fluctuation and Response relations in statistical physics are useful for control. However, they were typically derived for near-equilibrium, linear responses. We generalize them to far-from-equilibrium flows.

Based on CFT:

• Fast Evaluation and New Relations: Yang & Dill, coming soon

• Two-Law based Derivation: Yang& Dill,  arXiv:2410.17495v3 (2025)

Based on Martingale:

• Doob decomposition and Time-translational symmetry: Yang and Qian, Phys. Rev. E (2023)

I apply nonequilibrium physics and probability and dynamical system math to understand biological phenomena.

• Applying Nonequilibrium Physics to understand Adaptation to Varying Environments: Yang, Kocher, and Dill, arXiv.2506.19018 (2025)

• Inferring Effective Neuronal Response and Synaptic Coupling from Spiking Network Data: Chen and Yang, arXiv.2405.15206 (2025)

• Modeling Anticipatory Dynamics: Yang, Chen, Lai, and Chan, Phys Rev E (2015)