The order with respect to water in the solvolysis of cinnamoyl chloride in aqueous acetone and aqueous acetonitrile of lesser water content is H”2.6, favours an addion-elimination mechanism , S N 2 mechanism or a competition between them. Higher enthalpy and lower negative entropy of activation favours S N 2 mechanism. Order with respect to mercuric chloride in the concentration range of 0.001M...

The large magnitudes of information in many scale free network datasets makes them difficult to analyze, plot, and visualize. Sacrifices often must be made on the plot’s representational veracity or representational completeness. This paper discusses a method for exploring query based sub-graphs of a larger network using a method based on multidimensional scaling. Since the basis for the networ...

Physicist Erwin Schrödinger’s What is Life? (1945) has inspired many subsequent efforts to explain biological evolution, especially the evolution of complex systems, in terms of the Second Law of Thermodynamics and the concepts of "entropy" and "negative entropy." However, the problems associated with this paradigm are manifold. Some of these problems will be highlighted in the first part of th...

A dissipative particle swarm optimization is developed according to the self-organization of dissipative structure. The negative entropy is introduced to construct an opening dissipative system that is far-from-equilibrium so as to driving the irreversible evolution process with better fitness. The testing of two multimodal functions indicates it improves the performance effectively.

We study the entropy production for inverse SRB measures for a class of hyperbolic folded repellers presenting both expanding and contracting directions. We prove that for most such maps we obtain strictly negative entropy production of the respective inverse SRB measures. Moreover we provide concrete examples of hyperbolic folded repellers where this happens. Mathematics Subject Classification...

A connection between the maximum a posteriori (MAP) estimation and the variational formulation based on the minimization of a given variational integral subject to some noise constraints is established in this paper. A MAP estimator which uses a Markov or a maximum entropy random field model for the prior distribution can be viewed as a minimizer of a variational problem. Inspired by the maximu...

According to Michael Levin, concerning morphogenesis and morphostasis the basic challenge is to understand how the shape of the organism is generated and how it is preserved. The standard local approach based on belief on genetic determinism does not allow one to answer these questions satisfactorily. The first approach to this problem relies on a self-organization paradigm in which the local d...

In this paper two connected Szilard single molecule engines (with different temperature) model of Maxwell's demon are used to demonstrate and analysis the logical compare operation. The logical and physical complexity of " > " operations are both showed to be kTln2. Then this limit was used to prove the time complexity lower bound of sorting problem. It confirmed the proposed way to measure the...

We develop a generalised form of the independent component analysis (ICA) algorithm introduced by Bell and Sejnowski [1], Amari et al [2] and lately by Pearlmutter and Parra [3] and also MacKay [4]. Motivated by information theoretic indices for exploratory projection pursuit (EPP) we show that maximisation by natural gradient ascent of the divergence of a multivariate distribution from normali...

A class of non-equilibrium models for compressible multi-component fluids in multi-dimensions is investigated taking into account viscosity and heat conduction. These models are subject to the choice of interfacial pressures and interfacial velocity as well as relaxation terms for velocity, pressure, temperature and chemical potentials. Sufficient conditions are derived for these quantities tha...