2,507 research outputs found
Full-order fluctuation-dissipation relation for a class of non-equilibrium steady states
Acceleration of relaxation toward a fixed stationary distribution via
violation of detailed balance was reported in the context of a Markov chain
Monte Carlo method recently. Inspired by this result, systematic methods to
violate detailed balance in Langevin dynamics were formulated by using
exponential and rotational nonconservative forces. In the present paper, we
accentuate that such specific nonconservative forces relate to the large
deviation of total heat in an equilibrium state. The response to these
nonconservative forces can be described by the intrinsic fluctuation of the
total heat in the equilibrium state. Consequently, the fluctuation-dissipation
relation for nonequilibrium steady states is derived without recourse to a
linear response approximation.Comment: 6 page
Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics
We develop an efficient sampling method by simulating Langevin dynamics with
an artificial force rather than a natural force by using the gradient of the
potential energy. The standard technique for sampling following the
predetermined distribution such as the Gibbs-Boltzmann one is performed under
the detailed balance condition. In the present study, we propose a modified
Langevin dynamics violating the detailed balance condition on the
transition-probability formulation. We confirm that the numerical
implementation of the proposed method actually demonstrates two major
beneficial improvements: acceleration of the relaxation to the predetermined
distribution and reduction of the correlation time between two different
realizations in the steady state.Comment: 18pages, 3 figures, proceeedings of STATPHYS KOLKATA VII
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