Artículo
Generalized ensembles in the thermodynamics of trajectories
Fecha de publicación:
03/2014
Editorial:
IOP Publishing
Revista:
Journal of Statistical Mechanics: Theory and Experiment
ISSN:
1742-5468
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The dynamics of stochastic systems, both classical and quantum, can be studied by analysing the statistical properties of dynamical trajectories. The properties of ensembles of such trajectories for long, but fixed, times are described by large-deviation (LD) rate functions. These LD functions play the role of dynamical free energies: they are cumulant generating functions for time-integrated observables, and their analytic structure encodes dynamical phase behaviour. This 'thermodynamics of trajectories' approach is to trajectories and dynamics what the equilibrium ensemble method of statistical mechanics is to configurations and statics. Here we show that, just like in the static case, there are a variety of alternative ensembles of trajectories, each defined by their global constraints, with that of trajectories of fixed total time being just one of these. We show how the LD functions that describe an ensemble of trajectories where some time-extensive quantity is constant (and large) but where total observation time fluctuates can be mapped to those of the fixed-time ensemble. We discuss how the correspondence between generalized ensembles can be exploited in path sampling schemes for generating rare dynamical trajectories.
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Budini, Adrian Adolfo; Turner, Robert M.; Garrahan, Juan P.; Generalized ensembles in the thermodynamics of trajectories; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2014; 3; 3-2014; 1-25
Compartir
Altmétricas