152,257 research outputs found
Thermodynamic uncertainty relations in a linear system
We consider a Brownian particle in harmonic confinement of stiffness , in
one dimension in the underdamped regime. The whole setup is immersed in a heat
bath at temperature . The center of harmonic trap is dragged under any
arbitrary protocol. The thermodynamic uncertainty relations for both position
of the particle and current at time are obtained using the second law of
thermodynamics as well as the positive semi-definite property of the
correlation matrix of work and degrees of freedom of the system for both
underdamped and overdamped cases.Comment: Minor revision, Accepted in EPJ
A domain decomposing parallel sparse linear system solver
The solution of large sparse linear systems is often the most time-consuming
part of many science and engineering applications. Computational fluid
dynamics, circuit simulation, power network analysis, and material science are
just a few examples of the application areas in which large sparse linear
systems need to be solved effectively. In this paper we introduce a new
parallel hybrid sparse linear system solver for distributed memory
architectures that contains both direct and iterative components. We show that
by using our solver one can alleviate the drawbacks of direct and iterative
solvers, achieving better scalability than with direct solvers and more
robustness than with classical preconditioned iterative solvers. Comparisons to
well-known direct and iterative solvers on a parallel architecture are
provided.Comment: To appear in Journal of Computational and Applied Mathematic
Non Linear System for a Veritable PID Substitute
The paper deals with a non-linear system largely used in biology, which, in
certain conditions and for particular coefficient values, becomes linear, with
a linear diagram over a large range of time. It can be used as a veritable
regulator in systems' controlComment: 4 pages, exposed on 2nd "European Conference on Computer Sience and
Applications" - XA2008, Timisoara, Romani
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