Inverse problems
- Reconstruction of relaxation times distribution from time-dependent measurements
- Reconstruction of magnetic moments distribution from magnetization curves
Systems with a broad distribution of relaxation times (often resulting from a distribution of energy barriers between metastable system states) demonstrate a strongly non-exponential time dependence of the relaxation suignal. Using advanced methods for the solution of corresponding ill-posed problems, we offer the reconstruction of the relaxation times spectrum from the measured system response.
For real ferrofluids, which consist of particles with a broad distribution of sizes and magnetic moments, magnetization as the function of the applied field demonstrates significant deviations from the standard Langevin function L(mH/kT). Our methods for solving inverse problems allow to reconstruct the distribution function of magnetic moments of ferrofluid particles, from which the size distribution of these particles can be computed under certain assumptions.