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Branch distribution in diffusion-limited aggregation: a maximum entropy approach
Pastor-Satorras, R.; Wagensberg, J. - In: Physica A: Statistical Mechanics and its Applications 224 (1996) 3, pp. 463-479
cluster size. The Maximum Entropy formalism, a well-known method in statistical physics, is applied in order to derive the …
Persistent link: https://www.econbiz.de/10010873571
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Dimensional crossover in fragmentation
Sotolongo-Costa, Oscar; Rodriguez, Arezky H; Rodgers, G.J - In: Physica A: Statistical Mechanics and its Applications 286 (2000) 3, pp. 638-642
Experiments in which thick clay plates and glass rods are fractured have revealed different behavior of fragment mass distribution function in the small and large fragment regions. In this paper we explain this behavior using non-extensive Tsallis statistics and show how the crossover between...
Persistent link: https://www.econbiz.de/10010874585
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Extremum properties of entropy to determine dynamics of growth and evolution in complex systems
Sieniutycz, Stanislaw - In: Physica A: Statistical Mechanics and its Applications 340 (2004) 1, pp. 356-363
An extremum principle is formulated for the q-entropy in evolving biological systems with variable number of states …. Evolution for animals with multiple organs is considered. A variational problem is that of maximum entropy subject to the …
Persistent link: https://www.econbiz.de/10010874787
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Maximum entropy model for business cycle synchronization
Xi, Ning; Muneepeerakul, Rachata; Azaele, Sandro; Wang, … - In: Physica A: Statistical Mechanics and its Applications 413 (2014) C, pp. 189-194
understanding and controlling the dynamics of the global economy. Based on a pairwise maximum entropy model, we analyze the business …
Persistent link: https://www.econbiz.de/10010906952
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Utility function estimation: The entropy approach
Dionisio, Andreia; Reis, A. Heitor; Coelho, Luis - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 15, pp. 3862-3867
The maximum entropy principle can be used to assign utility values when only partial information is available about the … probability and utility through the notion of a utility density function. In this paper we explore the maximum entropy principle …
Persistent link: https://www.econbiz.de/10010588426
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Stable galaxies of finite masses in the most probable distribution
Menon, V.J.; Dubey, Ritesh Kumar; Tripathi, D.N. - In: Physica A: Statistical Mechanics and its Applications 367 (2006) C, pp. 269-275
Conventional equilibrium statistical mechanics of bound gravitational systems is known to suffer from the serious difficulties that galaxies acquire unbounded radii, become infinitely massive, and evaporate away continuously. We point out that these troubles disappear automatically if we use the...
Persistent link: https://www.econbiz.de/10010588705
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Universality of Jaynes’ approach to the evolution of time-dependent probability distributions
Plastino, A.R.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 258 (1998) 3, pp. 429-445
gives the time derivative of the entropy in terms of the time-dependent MaxEnt distribution function is seen to be always of …
Persistent link: https://www.econbiz.de/10010599479
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Thermodynamics and the Tsallis variational problem
Casas, M; Martı́nez, S; Pennini, F; Plastino, A - In: Physica A: Statistical Mechanics and its Applications 305 (2002) 1, pp. 41-47
An appropriate redefinition of the Lagrange multipliers entering the q-MaxEnt variational treatment neatly reconciles his formalism with classical thermodynamics. The non-extensive approach is seen to reproduce classical results for all q-values.
Persistent link: https://www.econbiz.de/10011058717
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Using relative entropy to find optimal approximations: An application to simple fluids
Tseng, Chih-Yuan; Caticha, Ariel - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 27, pp. 6759-6770
We develop a maximum relative entropy formalism to generate optimal approximations to probability distributions. The … central results consist of (a) justifying the use of relative entropy as the uniquely natural criterion to select a preferred … marginalizing over parameters using the method of maximum entropy and information geometry. As an illustration we apply our method …
Persistent link: https://www.econbiz.de/10011060741
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Maximum entropy approach to the collisional Vlasov equation: Exact solutions
Schönfeldt, J.-H.; Plastino, A.R. - In: Physica A: Statistical Mechanics and its Applications 369 (2006) 2, pp. 408-416
We show that the maximum entropy approach proposed by El-Wakil, Elhanbaly, and Abdou (from now on EEA) in [S.A. El … maximum entropy solutions of the aforementioned equation. On the one hand, after identifying an appropriate set of relevant … mean values (moments), we show that there are exact maximum entropy solutions associated with that set of moments. These …
Persistent link: https://www.econbiz.de/10011062056