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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

Invariant grids for reaction kinetics

Gorban, Alexander N.; Karlin, Iliya V.; Zinovyev, Andrei Yu. - In: Physica A: Statistical Mechanics and its Applications 333 (2004) C, pp. 106-154

In this paper, we construct low-dimensional manifolds of reduced description for equations of chemical kinetics from … effectively reduce description in chemical kinetics. …

Persistent link: https://www.econbiz.de/10010874765

From physics to economics: An econometric example using maximum relative entropy

Giffin, Adom - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 8, pp. 1610-1620

. We intend to show in this paper how a physics concept such as entropy can be applied to an economic problem. In so doing … Maximum relative Entropy (MrE). A general example of updating with data and moments is shown. Two specific econometric …

Persistent link: https://www.econbiz.de/10010871968

The kinetic chemical equilibrium regime

Ern, Alexandre; Giovangigli, Vincent - In: Physica A: Statistical Mechanics and its Applications 260 (1998) 1, pp. 49-72

Boltzmann equation with a chemical source term valid for arbitrary reaction mechanisms and yielding a positive entropy …, different. Finally, we derive the entropy conservation equation in the Navier–Stokes equilibrium regime and show that the source …

Persistent link: https://www.econbiz.de/10010599598

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

Poincaré's observation and the origin of Tsallis generalized canonical distributions

Vignat, C.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 365 (2006) 1, pp. 167-172

In this paper, we present some geometric properties of the maximum entropy Tsallis-distributions under energy …

Persistent link: https://www.econbiz.de/10010871619

Phase space distributions from variation of information measures

Olivares, F.; Pennini, F.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 11, pp. 2218-2226

As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.

Persistent link: https://www.econbiz.de/10010873485

Legendre-transform structure derived from quantum theorems

Flego, S.P.; Plastino, A.; Plastino, A.R. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 12, pp. 2276-2282

By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s equation, in close analogy with the structure that lies behind the...

Persistent link: https://www.econbiz.de/10011058003

Quantum evolution of power-law mixed states

Batle, J.; Plastino, A.R.; Casas, M.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 308 (2002) 1, pp. 233-244

momentum operators. These states are parameterized as density matrices exhibiting the maximum q-entropy (q-MaxEnt) form. They … Mantegna (Phys. Rev. Lett. 84 (2000) 1061; 84 (2000) 4516). We study the time evolution of these q-MaxEnt density matrices. We …

Persistent link: https://www.econbiz.de/10011059833

A Shannon–Tsallis transformation

Rufeil Fiori, E.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 8, pp. 1742-1749

MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the … entropy (Tsallis’ one with q=2) does not have a Shannon counterpart. …

Persistent link: https://www.econbiz.de/10010742305