Perturbative large deviation analysis of non-equilibrium dynamics
2014 (English)In: Journal of the Physical Society of Japan, ISSN 0031-9015, E-ISSN 1347-4073, Vol. 83, no 8Article in journal (Refereed) Published
Macroscopic fluctuation theory has shown that a wide class of non-equilibrium stochastic dynamical systems obey a large deviation principle, but except for a few one-dimensional examples these large deviation principles are in general not known in closed form. We consider the problem of constructing successive approximations to an (unknown) large deviation functional and show that the non-equilibrium probability distribution the takes a Gibbs-Boltzmann form with a set of auxiliary (non-physical) energy functions. The expectation values of these auxiliary energy functions and their conjugate quantities satisfy a closed system of equations which can imply a considerable reduction of dimensionality of the dynamics. We show that the accuracy of the approximations can be tested self-consistently without solving the full non- equilibrium equations. We test the general procedure on the simple model problem of a relaxing 1D Ising chain.
Place, publisher, year, edition, pages
Physical society of Japan, 2014. Vol. 83, no 8
Macroscopic fluctuation theory, perturbative large deviation, dynamics Ising chain.
Condensed Matter Physics
Research subject Physics
IdentifiersURN: urn:nbn:se:kth:diva-165789DOI: 10.7566/JPSJ.83.084001ISI: 000339806400012ScopusID: 2-s2.0-84924898390OAI: oai:DiVA.org:kth-165789DiVA: diva2:808824
FunderEU, FP7, Seventh Framework Programme