Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner +43 more
core +1 more source
Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code
Abstract Quasilinear diffusion coefficients can be used to model the response of charged particles to resonant wave‐particle interactions. The calculation of these coefficients is sufficiently complicated and arduous to render it prohibitive to many potential users, because of the expense in time spent developing the code.
Oliver Allanson +12 more
wiley +1 more source
Stochastic models of heat and nuclear particle transfer based on generalized equation of Fokker-Planck-Kolmogorov [PDF]
Stochastic differential equations are proposed on the basis of generalized Fokker-Planck-Kolmogorov equation. From the statements of boundary and initial value problems for probabilistic density, dispersion and differential entropy the ...
Soloviev Igor A. +1 more
doaj +1 more source
Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations [PDF]
MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called ...
Hahn, Marjorie, Umarov, Sabir
core +1 more source
Medium‐Range Predictability of the Wintertime Bering Sea Ice Edge Using Linear Inverse Modeling
Abstract Beginning in autumn, sea ice expands into the southern Bering Sea, where it remains until spring. In winter, some commercial stocks, particularly crabs, thrive in ice‐infested areas, necessitating short‐lead forecasts of the ice edge for fishers.
Christopher J. Cox, Cécile Penland
wiley +1 more source
Fractional Fokker-Planck equations (FFPEs) have gained much interest recently for describing transport dynamics in complex systems that are governed by anomalous diffusion and nonexponential relaxation patterns.
Qianqian Yang, Fawang Liu, Ian Turner
doaj +1 more source
In physics, several attempts have been made to apply the concepts and tools of physics to the life sciences. In this context, a thermostatistic framework for active Nambu systems is proposed.
T. D. Frank
doaj +1 more source
Interrelations between Stochastic Equations for Systems with Pair Interactions
Several types of stochastic equations are important in thermodynamics, chemistry, evolutionary biology, population dynamics and quantitative social science. For systems with pair interactions four different types of equations are derived, starting from a
Ashcroft +82 more
core +1 more source
Nonlinear mean-field Fokker-Planck equations and their applications in physics, astrophysics and biology [PDF]
We discuss a general class of nonlinear mean-field Fokker-Planck equations [P.H. Chavanis, Phys. Rev. E, 68, 036108 (2003)] and show their applications in different domains of physics, astrophysics and biology.
Borland +47 more
core +2 more sources
General properties of nonlinear mean field Fokker-Planck equations
Recently, several authors have tried to extend the usual concepts of thermodynamics and kinetic theory in order to deal with distributions that can be non-Boltzmannian. For dissipative systems described by the canonical ensemble, this leads to the notion
Andrea Rapisarda +5 more
core +1 more source

