Arrhenius law for interacting diffusive systems

Vishwajeet Kumar, Arnab Pal, Ohad Shpielberg

Research output: Contribution to journalArticlepeer-review


Finding the mean time it takes for a particle to escape from a metastable state due to thermal fluctuations is a fundamental problem in physics, chemistry, and biology. Here, we consider the escape rate of interacting diffusive particles, from a deep potential trap within the framework of the macroscopic fluctuation theory - a nonequilibrium hydrodynamic theory. For systems without excluded volume, our investigation reveals adherence to the well-established Arrhenius law. However, in the presence of excluded volume, a universality class emerges, fundamentally altering the escape rate. Remarkably, the modified escape rate within this universality class is independent of the interactions at play. The universality class, demonstrating the importance of excluded volume effects, may bring insights to the interpretation of escape processes in the realm of chemical physics.

Original languageEnglish
Article numberL032101
JournalPhysical Review E
Issue number3
StatePublished - Mar 2024

Bibliographical note

Publisher Copyright:
© 2024 American Physical Society.

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


Dive into the research topics of 'Arrhenius law for interacting diffusive systems'. Together they form a unique fingerprint.

Cite this