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Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-up

  • Davide Santolin
  • Gianmaria Falasco
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Abstract

We derive a new set of bounds controlling the speed-up of the survival rate of trajectory-dependent observables induced by the application of a perturbation. Via the study of survival probabilities in two different contexts, continuous-time Markov jump processes and overdamped diffusions, we obtain different fashions of the bound on the achievable boost. These bounds, obtained by a nonlinear response theory of constrained path probabilities, are explicitly linked to thermodynamics. For arbitrary time-dependent survival rates, we find a linear bound that depends on both the perturbation strength and the entropy production rate prior to the perturbation. For rare processes characterized by a constant survival rate, the bound is exponential and is determined by the excess heat generated by the perturbation. We exemplify the inequalities on two prototypical model systems, namely, a unicyclic network and forced diffusion in a bistable potential.

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Cite

BibTeXRIS
BibTeX
@misc{santolin2026accelerating,
  title = {{Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-up}},
  author = {Davide Santolin and Gianmaria Falasco},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.03179},
  eprint = {2609.03179},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03179},
}
RIS
TY  - UNPB
TI  - Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-up
AU  - Davide Santolin
AU  - Gianmaria Falasco
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.03179
UR  - https://arxiv.org/abs/2609.03179
AB  - We derive a new set of bounds controlling the speed-up of the survival rate of trajectory-dependent observables induced by the application of a perturbation. Via the study of survival probabilities in two different contexts, continuous-time Markov jump processes and overdamped diffusions, we obtain different fashions of the bound on the achievable boost. These bounds, obtained by a nonlinear response theory of constrained path probabilities, are explicitly linked to thermodynamics. For arbitrary time-dependent survival rates, we find a linear bound that depends on both the perturbation strength and the entropy production rate prior to the perturbation. For rare processes characterized by a constant survival rate, the bound is exponential and is determined by the excess heat generated by the perturbation. We exemplify the inequalities on two prototypical model systems, namely, a unicyclic network and forced diffusion in a bistable potential.
ER  -