Relations between entropies produced in nondeterministic thermodynamic processes

Landauer's erasure principle is generalized to nondeterministic processes on systems having an arbitrary number of nonsymmetrical logical states. The condition that the process is applied in the same way, irrespective of the initial logical state, imposes some restrictions on the individual heat exchanges associated with each possible transition. The complete set of such restrictions are derived by a statistical analysis of the phase-space flow induced by the process. Landauer's erasure principle can be derived from and is a special case of these.


Non-Markovian diffusion over a parabolic potential barrier: Influence of the friction-memory function
YILMAZ, BÜLENT; Ayik, S.; Abe, Y.; Boilley, D. (American Physical Society (APS), 2008-01-01)
The over-passing probability across an inverted parabolic potential barrier is investigated according to the classical and quantal generalized Langevin equations. It is shown that, in the classical case, the asymptotic value of the over-passing probability is determined by a single dominant root of the "characteristic function," and it is given by a simple expression. The expression for the over-passing probability is quite general, and details of dissipation mechanism and memory effects enter into the expr...
Dynamical systems and Poisson structures
Guerses, Metin; Guseinov, Gusein Sh; Zheltukhın, Kostyantyn (AIP Publishing, 2009-11-01)
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamical systems in R-3 are locally bi-Hamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical system. The construction of the Poisson structures is based on solving an associated first order linear partial differential equations. We find the Poisson structures of a dynamical system recently given by Bender et al. [J. Phys. A: Math. Theor. 40, F793 (2007)]. Secondly, we show that al...
The Lie algebra sl(2,R) and so-called Kepler-Ermakov systems
Leach, PGL; Karasu, Emine Ayşe (Informa UK Limited, 2004-05-01)
A recent paper by Karasu (Kalkanli) and Yildirim (Journal of Nonlinear Mathematical Physics 9 (2002) 475-482) presented a study of the Kepler-Ermakov system in the context of determining the form of an arbitrary function in the system which was compatible with the presence of the sl(2, R) algebra characteristic of Ermakov systems and the existence of a Lagrangian for a subset of the systems. We supplement that analysis by correcting some results.
Method for numerical simulation of two-term exponentially correlated colored noise
Yilmaz, B; Ayik, S; Abe, Y; Gokalp, A; Yılmaz, Osman (American Physical Society (APS), 2006-04-01)
A method for numerical simulation of two-term exponentially correlated colored noise is proposed. The method is an extension of traditional method for one-term exponentially correlated colored noise. The validity of the algorithm is tested by comparing numerical simulations with analytical results in two physical applications.
Hamiltonian equations in R-3
Ay, Ahmet; GÜRSES, METİN; Zheltukhın, Kostyantyn (AIP Publishing, 2003-12-01)
The Hamiltonian formulation of N=3 systems is considered in general. The most general solution of the Jacobi equation in R-3 is proposed. The form of the solution is shown to be valid also in the neighborhood of some irregular points. Compatible Poisson structures and corresponding bi-Hamiltonian systems are also discussed. Hamiltonian structures, the classification of irregular points and the corresponding reduced first order differential equations of several examples are given. (C) 2003 American Institute...
Citation Formats
S. Turgut, “Relations between entropies produced in nondeterministic thermodynamic processes,” PHYSICAL REVIEW E, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: