Anomalous relaxation in colloidal systems / / Avinash Kumar

• Autore: Avināśa Kumāra
• Pubblicazione: Cham, Switzerland : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (135 pages)
• Disciplina: 016.54532
• Soggetto topico: Colloids - Freezing
• Nota di contenuto: Intro -- 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. ; 4.4.2 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.
• Titolo autorizzato: Anomalous relaxation in colloidal systems
• ISBN: 9783031132803; 9783031132797
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910620200903321
• Lo trovi qui: Univ. Federico II
• Serie: Springer Theses