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Title: Rare behavior of growth processes via umbrella sampling of trajectories

Journal Article · · Physical Review. E
 [1];  [1];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of Nottingham (United Kingdom)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

We compute probability distributions of trajectory observables for reversible and irreversible growth processes. These results reveal a correspondence between reversible and irreversible processes, at particular points in parameter space, in terms of their typical and atypical trajectories. Thus key features of growth processes can be insensitive to the precise form of the rate constants used to generate them, recalling the insensitivity to microscopic details of certain equilibrium behavior. We obtained these results using a sampling method, inspired by the "s-ensemble" large-deviation formalism, that amounts to umbrella sampling in trajectory space. The method is a simple variant of existing approaches, and applies to ensembles of trajectories controlled by the total number of events. It can be used to determine large-deviation rate functions for trajectory observables in or out of equilibrium.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1601174
Alternate ID(s):
OSTI ID: 1426838
Journal Information:
Physical Review. E, Vol. 97, Issue 3; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 45 works
Citation information provided by
Web of Science

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Cited By (20)

Large deviations in models of growing clusters with symmetry-breaking transitions journal July 2019
Phase separation and large deviations of lattice active matter journal April 2018
Exact Fluctuations of Nonequilibrium Steady States from Approximate Auxiliary Dynamics journal May 2018
The kinetic exclusion process: a tale of two fields journal October 2019
Direct evaluation of dynamical large-deviation rate functions using a variational ansatz journal November 2019
How Dissipation Constrains Fluctuations in Nonequilibrium Liquids: Diffusion, Structure, and Biased Interactions journal November 2019
Dynamical phase behavior of the single- and multi-lane asymmetric simple exclusion process via matrix product states journal August 2019
Sampling rare events across dynamical phase transitions journal August 2019
Nonlinear transport coefficients from large deviation functions journal July 2019
Optimizing active work: Dynamical phase transitions, collective motion, and jamming journal February 2019
Large deviations in models of growing clusters with symmetry-breaking transitions. text January 2019
Phase separation and large deviations of lattice active matter text January 2017
How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions text January 2018
Nonlinear transport coefficients from large deviation functions text January 2018
Using matrix product states to study the dynamical large deviations of kinetically constrained models text January 2019
Dynamical phase behavior of the single- and multi-lane asymmetric simple exclusion process via matrix product states text January 2019
Efficient Large Deviation Estimation Based on Importance Sampling journal July 2020
Dynamical criticality in open systems: Nonperturbative physics, microscopic origin, and direct observation journal December 2018
Sampling rare events across dynamical phase transitions text January 2019
A reinforcement learning approach to rare trajectory sampling text January 2020

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