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Uniqueness of thermodynamic projector and kinetic basis of molecular individualism

Gorban, Alexander N.; Karlin, Iliya V. - In: Physica A: Statistical Mechanics and its Applications 336 (2004) 3, pp. 391-432

Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are studied. Uniqueness of the thermodynamic projector is proven: There exists only one projector which transforms any...

Persistent link: https://www.econbiz.de/10010874458

Quasi-equilibrium closure hierarchies for the Boltzmann equation

Gorban, Alexander N.; Karlin, Iliya V. - In: Physica A: Statistical Mechanics and its Applications 360 (2006) 2, pp. 325-364

In this paper, explicit method of constructing approximations (the triangle entropy method) is developed for …

Persistent link: https://www.econbiz.de/10010591361

Protein folding as an evolutionary process

Sharma, Vivek; Kaila, Ville R.I.; Annila, Arto - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 6, pp. 851-862

concurrent decrease in the conformational entropy of the polypeptide chain. However, to provide a description that is consistent … with other natural processes, protein folding is formulated from the principle of increasing entropy. It then becomes … steeply ascending paths on the entropy landscape that correspond to steeply descending paths on the free energy landscape. The …

Persistent link: https://www.econbiz.de/10010872071

Long memory and volatility clustering: Is the empirical evidence consistent across stock markets?

Bentes, Sónia R.; Menezes, Rui; Mendes, Diana A. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 15, pp. 3826-3830

volatility phenomenon is by using measures based on the concept of entropy. In this paper we investigate the long memory and …. Additionally, we compare the results from conditionally heteroscedastic models with those from the entropy measures. In the latter …, we examine Shannon entropy, Renyi entropy and Tsallis entropy. The results corroborate the previous evidence of nonlinear …

Persistent link: https://www.econbiz.de/10011061753

The presence of an invariant manifold in the dissipative nonlinear four-wave coupling

Coninck, J.C.P.; Lopes, S.R.; Viana, R.L. - In: Physica A: Statistical Mechanics and its Applications 343 (2004) C, pp. 247-262

We examine the existence of an invariant manifold in the phase space structure presented by a dissipative four-wave coupling. We show that, once in such manifold, the system preserves two quantities as time evolves: a quantity related to the energy of the system and another, related to the...

Persistent link: https://www.econbiz.de/10011058307

Magnetohydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel

Wang, Yongqi; Hayat, Tasawar; Ali, Nasir; Oberlack, Martin - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 2, pp. 347-362

This paper presents a numerical study for the peristaltic flow characteristics of a Sisko fluid in a symmetric or asymmetric channel. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field. The mathematical formulation consisting of nonlinear governing...

Persistent link: https://www.econbiz.de/10011057847

Effects of hydrodynamics on a model surfactant system

Wu, Yanan; Lookman, Turab; Zhao, Shuren - In: Physica A: Statistical Mechanics and its Applications 261 (1998) 1, pp. 167-175

Using a one parameter free energy model for surfactants, we numerically study the effects of hydrodynamics in the microemulsion and lamellar phases. Our results show that the dynamical correlation function has temporal oscillations for a range of hydrodynamical coupling strengths in the...

Persistent link: https://www.econbiz.de/10010872982

Nucleation stage of ferrocolloid phase separation induced by an external magnetic field

Zubarev, Andrej Yu; Ivanov, Alexey O - In: Physica A: Statistical Mechanics and its Applications 251 (1998) 3, pp. 332-347

We consider an initial stage of the origination of droplike aggregates in a ferrocolloid made metastable by a strengthening of an external magnetic field, when emerging nuclei are still not large enough to affect ferrocolloid properties appreciably. Expressions for the growth rate of a...

Persistent link: https://www.econbiz.de/10010873252

Lee, Chang-Yong - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 20, pp. 4937-4945

justifies, at least partially if not entirely, the relevance of the proposed process as the kinetics of RNA folding. …

Persistent link: https://www.econbiz.de/10010873459

Kinetics aggregation of magnetic suspensions

Bossis, G.; Iskakova, L.; Kostenko, V.; Zubarev, A. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 14, pp. 2655-2663

We present results of theoretical and computer studies of the kinetics of chain-like aggregate formation in suspensions …

Persistent link: https://www.econbiz.de/10010873486

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