Thermostatted Kinetic Models: Open Problems
نویسندگان
چکیده
منابع مشابه
Basic kinetic wealth-exchange models: common features and open problems
We review the basic kinetic wealth-exchange models of Angle [J. Angle, Social Forces 65 (1986) 293; J. Math. Sociol. 26 (2002) 217], Bennati [E. Bennati, Rivista Internazionale di Scienze Economiche e Commerciali 35 (1988) 735], Chakraborti and Chakrabarti [A. Chakraborti, B. K. Chakrabarti, Eur. Phys. J. B 17 (2000) 167], and of Dragulescu and Yakovenko [A. Dragulescu, V. M. Yakovenko, Eur. Ph...
متن کاملOpen problems for equienergetic graphs
The energy of a graph is equal to the sum of the absolute values of its eigenvalues. Two graphs of the same order are said to be equienergetic if their energies are equal. We point out the following two open problems for equienergetic graphs. (1) Although it is known that there are numerous pairs of equienergetic, non-cospectral trees, it is not known how to systematically construct any such pa...
متن کاملAn Efficient Geometric Integrator for Thermostatted Anti-/Ferromagnetic Models
Anti)-/ferromagnetic Heisenberg spin models arise from discretization of LandauLifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for thermostatted spin dynamics was given by Bulgac and Kusnetsov [5], which incorporates a complicated nonlinear dissipation/driving term while preserving spin le...
متن کاملClassifier Evasion: Models and Open Problems
As a growing number of software developers apply machine learning to make key decisions in their systems, adversaries are adapting and launching ever more sophisticated attacks against these systems. The near-optimal evasion problem considers an adversary that searches for a low-cost negative instance by submitting a minimal number of queries to a classifier, in order to effectively evade the c...
متن کاملA Thermostatted Kinetic Framework with Particle Refuge for the Modeling of Tumors Hiding
Recently, thermostatted kinetic models have been proposed for the modeling of complex systems subjected to external force fields. This paper deals with the derivation of a generalized thermostatted kinetic framework, which incorporates particles refuge. From the qualitative viewpoint, the global in time existence and uniqueness of the solution to the relative Cauchy problem, the time evolution ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied & Computational Mathematics
سال: 2012
ISSN: 2168-9679
DOI: 10.4172/2168-9679.1000e133