LEADER 04448nam 2200433 450 001 9910620200903321 005 20231110231725.0 010 $a9783031132803$b(electronic bk.) 010 $z9783031132797 035 $a(MiAaPQ)EBC7120749 035 $a(Au-PeEL)EBL7120749 035 $a(CKB)25188965900041 035 $a(PPN)265857406 035 $a(EXLCZ)9925188965900041 100 $a20230310d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnomalous relaxation in colloidal systems /$fAvinash Kumar 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (135 pages) 225 1 $aSpringer Theses 311 08$aPrint version: Kumar, Avinash Anomalous Relaxation in Colloidal Systems Cham : Springer International Publishing AG,c2022 9783031132797 327 $aIntro -- Supervisor's Foreword -- Acknowledgments -- Contents -- Parts of This Thesis Have Been Published in the Following Journal Articles -- 1 Introduction -- 1.1 History of the Mpemba Effect -- 1.2 Explanations for the Mpemba Effect -- 1.3 Mpemba Effect in Other Systems -- 1.3.1 Experiments -- 1.3.2 Numerical Studies -- 1.4 Mpemba Effect in Colloidal Systems -- 1.5 Particle Manipulation Techniques -- 1.5.1 Passive Trapping -- Optical Tweezers -- Magnetic Tweezers -- Holographic Tweezers -- 1.5.2 Active Trapping -- Electrokinetic Traps -- Hydrodynamic Traps -- Acoustic Traps -- Thermal Traps -- 1.6 Combining Feedback Traps and Optical Tweezers -- 1.7 Overview of the Thesis -- References -- 2 Particle Dynamics -- 2.1 The Langevin Equation -- 2.1.1 A Free Particle -- 2.1.2 A Trapped Particle -- 2.2 Fokker-Planck Equation -- 2.2.1 Adjoint of the Fokker-Planck Operator -- 2.2.2 Eigenfunctions and Eigenvalues of the Fokker-Planck Operator -- 2.2.3 Fokker-Planck Equation with no Drift -- 2.3 Heat Equation -- 2.4 Supplementary Information -- 2.4.1 A Similarity Transformation of the Fokker-Planck Operator -- References -- 3 Optical Feedback Traps -- 3.1 Principles of Optical Tweezers -- 3.2 Optical Tweezers Setup -- 3.2.1 Faraday Isolator -- 3.2.2 Acousto-Optic Deflector -- 3.2.3 Detection Scheme -- 3.2.4 Control and Data Acquisition -- 3.3 Sample Preparation -- 3.4 Calibration -- 3.4.1 Position Calibration -- 3.4.2 Trap-Stiffness Calibration -- 3.5 Virtual Harmonic Potential -- 3.6 Isotropic Traps -- 3.7 Virtual Double-Well Potential -- 3.8 Discussion -- References -- 4 Mpemba Effect -- 4.1 Definition of the Mpemba Effect -- 4.2 Energy Landscape for the Mpemba Effect -- 4.2.1 Choice of Potential Energy Landscape -- 4.3 Imposing an Instantaneous Quench via Initial Conditions -- 4.4 Measuring the Distance to Equilibrium -- 4.4.1 L1 distance Distance. 327 $a4.4.2 Kullback-Leibler (KL) Divergence -- 4.5 Observation of the Mpemba Effect in Asymmetric Domains -- 4.6 Analysis Based on Eigenfunction Expansion -- 4.6.1 Calculation of the a2 Coefficient -- 4.6.2 Relationship Between D and the a2 Coefficient -- 4.7 Strong Mpemba Effect -- 4.8 Geometric Interpretation of the Mpemba Effect -- 4.8.1 Thermalization in a Double-Well Potential with Metastability -- 4.8.2 Metastable Mpemba Effect -- 4.8.3 Metastable Mpemba Effect in Terms of Extractable Work -- 4.9 Discussion -- 4.10 Supplementary Information -- 4.10.1 Infinite Potential vs. Finite Potential -- 4.10.2 Calculation of Equilibration Time -- 4.10.3 Equilibration Time Versus the a2 Coefficient -- 4.10.4 Barrier Height vs. Discontinuity in Local Equilibrium -- References -- 5 Inverse Mpemba Effect -- 5.1 Energy Landscape for the Inverse Mpemba Effect -- 5.2 Inverse Mpemba Effect in an Asymmetric Potential -- 5.3 Analysis Based on Eigenfunction Expansion -- 5.4 Discussion -- References -- 6 Higher-Order Mpemba Effect -- 6.1 Experiment -- 6.2 Eigenfunction Analysis -- 6.3 Mpemba Effect in a Potential with One Local Minimum -- 6.4 Discussion -- Reference -- 7 Conclusions -- 7.1 Summary of the Results Obtained -- 7.2 Final Remarks -- References. 410 0$aSpringer Theses 606 $aColloids$xFreezing 615 0$aColloids$xFreezing. 676 $a016.54532 700 $aAvina?s?a Kuma?ra$01337591 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910620200903321 996 $aAnomalous relaxation in colloidal systems$93057063 997 $aUNINA LEADER 01123nam0 22002891i 450 001 RML0238957 005 20231121125705.0 100 $a20121121d1992 ||||0itac50 ba 101 | $aita 102 $ait 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $aValutazione di impatto ambientale e pianificazione urbanistica$eseminario di studi$fa cura di Salvatore Cattaneo 210 $aMilano $cGiuffrè $dc1992 215 $aXI,205 p.$d24 cm 300 $aIn appendice documenti 606 $aTutela ambientale$2FIR$3RMLC377111$9I 676 $a344.046$9$v21 710 12$aCattaneo, Salvatore$3RMLV152681$01443403 801 3$aIT$bIT-01$c20121121 850 $aIT-FR0098 899 $aBiblioteca Area Giuridico Economica$bFR0098 912 $aRML0238957 950 0$aBiblioteca Area Giuridico Economica$d 53IMP 344.046/40$e 53VM 0000078715 VM barcode:ECO013334. - Inventario:1949. - Fondo:Sala consultazioneVM$fA $h20030716$i20121204 977 $a 53 996 $aValutazione di impatto ambientale e pianificazione urbanistica$93620434 997 $aUNICAS