English

Nonequilibrium identities of granular vibrating beds

Statistical Mechanics 2013-10-24 v2
Authors: Hisao Hayakawa
View on arXiv ↗ PDF ↗

Abstract

We derive the integral fluctuation theorem around a nonequilibrium stationary state for frictionless and soft core granular particles under an external vibration achieved by a balance between an external vibration and inelastic collisions. We also discuss the connection between the integral fluctuation theorem and the generalized Green-Kubo formula.

Keywords

granular materials nonequilibrium statistical mechanics integral fluctuation theorem vibrated beds green-kubo formula inelastic collisions stationary state

Cite

@article{arxiv.1303.2311,
  title  = {Nonequilibrium identities of granular vibrating beds},
  author = {Hisao Hayakawa},
  journal= {arXiv preprint arXiv:1303.2311},
  year   = {2013}
}

Comments

15 pages, no figures to be published in Comptes rendus - M\'ecanique as Proceedings of EuroMech2012 at Graz, Austria

Related papers

View all related →
Statistical Mechanics · Physics
Nonequilibrium identities and response theory for dissipative particles
Hisao Hayakawa, Michio Otsuki
2013-09-13
Statistical Mechanics · Physics
Generalized Green-Kubo formula and fluctuation theorem for quantum current system around a nonequilibrium steady state
Hisao Hayakawa
2011-03-30
Statistical Mechanics · Physics
Fluctuation relations without microscopic time reversality: Generalized Green-Kubo relation and integral fluctuation theorem for uniformly sheared granular systems
Song-Ho Chong, Michio Otsuki, Hisao Hayakawa
2009-06-11
Disordered Systems and Neural Networks · Physics
Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
F. Zamponi, F. Bonetto, L. F. Cugliandolo, J. Kurchan
2009-11-11
Statistical Mechanics · Physics
Fluctuation Theorems for Systems under Fokker-Planck dynamics
A. Perez-Madrid, I. Santamaria-Holek
2009-11-13
Soft Condensed Matter · Physics
Experimental Accessibility of Generalized Fluctuation-Dissipation Relations for Nonequilibrium Steady States
Jakob Mehl, Valentin Blickle, Udo Seifert, Clemens Bechinger
2015-05-18
Statistical Mechanics · Physics
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
Massimiliano Esposito, Upendra Harbola, Shaul Mukamel
2015-05-13
Statistical Mechanics · Physics
The Fluctuation Theorem and Green-Kubo Relations
Debra J. Searles, Denis J. Evans
2009-10-31
Statistical Mechanics · Physics
Nonequilibrium Brownian motion beyond the effective temperature
Andrea Gnoli, Andrea Puglisi, Alessandro Sarracino, Angelo Vulpiani
2014-04-10
Mesoscale and Nanoscale Physics · Physics
Fluctuation theorem for spin transport at insulating ferromagnetic junctions
Tetsuya Sato, Masahiro Tatsuno, Mamoru Matsuo, Takeo Kato
2021-12-01
Probability · Mathematics
Quantitative equilibrium fluctuations for interacting particle systems
Chenlin Gu, Jean-Christophe Mourrat, Maximilian Nitzschner
2024-01-19
Statistical Mechanics · Physics
Fluctuation theorems and orbital magnetism in nonequilibrium state
A. M. Jayannavar, Mamata Sahoo
2007-05-23
Statistical Mechanics · Physics
Nonequilibrium Stationary Process and Fluctuation-Dissipation Relations
Ying-Jen Yang, Hong Qian
2021-06-28
Soft Condensed Matter · Physics
The unreasonable effectiveness of equilibrium-like theory for interpreting non-equilibrium experiments
R. Dean Astumian
2015-06-25
Statistical Mechanics · Physics
Dynamic Relaxation of a Levitated Nanoparticle from a Non-Equilibrium Steady State
Jan Gieseler, Romain Quidant, Christoph Dellago, Lukas Novotny
2014-04-03
Quantum Physics · Physics
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics, entropy generation, and stochastic motion
Mohammad F. Maghrebi, Robert L. Jaffe, Mehran Kardar
2014-07-23
Statistical Mechanics · Physics
Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
G. Verley, K. Mallick, D. Lacoste
2015-05-20
Statistical Mechanics · Physics
Inertial Effects in Nonequilibrium Work Fluctuations by a Path Integral Approach
Tooru Taniguchi, E. G. D. Cohen
2007-12-12
Mesoscale and Nanoscale Physics · Physics
Green-Kubo relation for thermal radiation in non-reciprocal systems
F. Herz, S. -A. Biehs
2020-08-12
Probability · Mathematics
Stationary fluctuations of run-and-tumble particles
Frank Redig, Hidde van Wiechen
2024-03-13
Quantum Physics · Physics
Nonequilibrium potential and fluctuation theorems for quantum maps
Gonzalo Manzano, Jordan M. Horowitz, Juan M. R. Parrondo
2015-10-01
Quantum Physics · Physics
Linear response relations in fluctuational electrodynamics
Vladyslav A. Golyk, Matthias Krüger, Mehran Kardar
2015-06-16
Statistical Mechanics · Physics
Macroscopic fluctuation theory
Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio +1
2015-12-18
Probability · Mathematics
Equilibrium fluctuations for gradient exclusion processes with conductances in random environments
Jonathan Farfan, Alexandre B. Simas, Fabio J. Valentim
2011-04-08
Statistical Mechanics · Physics
Using the fluctuation-dissipation theorem for nonconservative forces
Kiryl Asheichyk, Matthias Krüger
2019-12-17