36 citations · 79 across the 7 of their papers we have counts for
9 papers
Variational principle of counting statistics in master equations
Jun Ohkubo
We study counting statistics of number of transitions in a stochastic process. For mesoscopic systems, a path integral formulation for the counting statistics has already been deri…
The stochastic pump current and the non-adiabatic geometrical phase
Jun Ohkubo
We calculate a pump current in a classical two-state stochastic chemical kinetics by means of the non-adiabatic geometrical phase interpretation. The two-state system is attached t…
A field theoretic approach to master equations and a variational method beyond the Poisson ansatz
Jun Ohkubo
We develop a variational scheme in a field theoretic approach to a stochastic process. While various stochastic processes can be expressed using master equations, in general it is…
Transition Phenomena Induced by Internal Noise and Quasi-absorbing State
Jun Ohkubo, Nadav Shnerb, David A. Kessler
We study a simple chemical reaction system and effects of the internal noise. The chemical reaction system causes the same transition phenomenon discussed by Togashi and Kaneko [Ph…
Condensation phenomena with distinguishable particles
Jun Ohkubo
We study real-space condensation phenomena in a type of classical stochastic processes (site-particle system), such as zero-range processes and urn models. We here study a stochast…
Free energy of disordered urn models in the canonical ensemble
Jun Ohkubo
We calculate the free energy of the disordered urn model using the law of large numbers. It is revealed that the saddle point equation obtained by the usage of the law of large num…