Hybrid Molecular and Spin Dynamics Simulations for Ensembles of Magnetic Nanoparticles for Magnetoresistive Systems

The development of magnetoresistive sensors based on magnetic nanoparticles which are immersed in conductive gel matrices requires detailed information about the corresponding magnetoresistive properties in order to obtain optimal sensor sensitivities. Here, crucial parameters are the particle concentration, the viscosity of the gel matrix and the particle structure. Experimentally, it is not possible to obtain detailed information about the magnetic microstructure, i.e., orientations of the magnetic moments of the particles that define the magnetoresistive properties, however, by using numerical simulations one can study the magnetic microstructure theoretically, although this requires performing classical spin dynamics and molecular dynamics simulations simultaneously. Here, we present such an approach which allows us to calculate the orientation and the trajectory of every single magnetic nanoparticle. This enables us to study not only the static magnetic microstructure, but also the dynamics of the structuring process in the gel matrix itself. With our hybrid approach, arbitrary sensor configurations can be investigated and their magnetoresistive properties can be optimized.

[1]  Pak Lui,et al.  Strong scaling of general-purpose molecular dynamics simulations on GPUs , 2014, Comput. Phys. Commun..

[2]  Harmon,et al.  Ab initio spin dynamics in magnets. , 1995, Physical review letters.

[3]  S. Dudarev,et al.  Large-scale simulation of the spin-lattice dynamics in ferromagnetic iron , 2008 .

[4]  Joshua A. Anderson,et al.  General purpose molecular dynamics simulations fully implemented on graphics processing units , 2008, J. Comput. Phys..

[5]  R. Folk,et al.  Construction of high-order force-gradient algorithms for integration of motion in classical and quantum systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Jiang,et al.  Giant magnetoresistance in nonmultilayer magnetic systems. , 1992, Physical review letters.

[7]  Harmon,et al.  Spin dynamics in magnets: Equation of motion and finite temperature effects. , 1996, Physical review. B, Condensed matter.

[8]  Berend Smit,et al.  Understanding Molecular Simulation , 2001 .

[9]  M. V. Tretyakov,et al.  Stochastic Numerics for Mathematical Physics , 2004, Scientific Computation.

[10]  Donald G. Truhlar,et al.  Ab Initio Molecular Dynamics: Basic Theory and Advanced Methods , 2010 .

[11]  Young,et al.  Giant magnetoresistance in heterogeneous Cu-Co alloys. , 1992, Physical review letters.

[12]  Binasch,et al.  Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange. , 1989, Physical review. B, Condensed matter.

[13]  A. Ladd,et al.  Lattice Boltzmann Simulations of Soft Matter Systems , 2008, 0803.2826.

[14]  Christian Schröder,et al.  Modeling of Nanoparticular Magnetoresistive Systems and the Impact on Molecular Recognition , 2015, Sensors.

[15]  L. Engelhardt,et al.  SIMULATING COMPUTATIONALLY COMPLEX MAGNETIC MOLECULES , 2011 .

[16]  H. C. Andersen,et al.  Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids , 1971 .

[17]  D. Beaujouan,et al.  Thermostatting the atomic spin dynamics from controlled demons , 2012 .

[18]  M. Tuckerman Statistical Mechanics: Theory and Molecular Simulation , 2010 .

[19]  R Folk,et al.  Algorithm for molecular dynamics simulations of spin liquids. , 2001, Physical review letters.

[20]  Etienne,et al.  Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices. , 1988, Physical review letters.

[21]  Efficient Calculation of Low Energy Configurations of Nanoparticle Ensembles for Magnetoresistive Sensor Devices by Means of Stochastic Spin Dynamicsand Monte Carlo Methods , 2015 .

[22]  P. Tavan,et al.  The "Hot-Solvent/Cold-Solute" Problem Revisited. , 2008, Journal of chemical theory and computation.

[23]  N. Wiser Phenomenological theory of the giant magnetoresistance of superparamagnetic particles , 1996 .

[24]  G. Batchelor,et al.  Brownian diffusion of particles with hydrodynamic interaction , 1976, Journal of Fluid Mechanics.

[25]  M. Schäfers,et al.  Giant magnetoresistance effects in gel-like matrices , 2013 .

[26]  Car,et al.  Unified approach for molecular dynamics and density-functional theory. , 1985, Physical review letters.