Numerical observations on a Markov chain and on the continuous Markov process performed with a granular tracer show that the 'usual' fluctuation relation for a given observable is not verified for finite (but arbitrarily large) times. This suggests that some terms which are usually expected to be negligible, i.e. 'border terms' dependent only on initial and final states, in fact cannot be neglected. Furthermore, the Markov chain and the granular tracer behave in a quite similar fashion.

Relevance of initial and final conditions for the fluctuation relation in Markov processes

Puglisi A;
2006

Abstract

Numerical observations on a Markov chain and on the continuous Markov process performed with a granular tracer show that the 'usual' fluctuation relation for a given observable is not verified for finite (but arbitrarily large) times. This suggests that some terms which are usually expected to be negligible, i.e. 'border terms' dependent only on initial and final states, in fact cannot be neglected. Furthermore, the Markov chain and the granular tracer behave in a quite similar fashion.
2006
INFM
STATISTICAL-MECHANICS
IRREVERSIBLE-PROCESSES
STOCHASTIC DYNAMICS
DISSIPATIVE SYSTEMS
STEADY-STATES
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/164054
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