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  • 1
    Online-Ressource
    Online-Ressource
    Cham :Springer International Publishing :
    UID:
    almahu_9949387915102882
    Umfang: XIII, 125 p. 55 illus., 49 illus. in color. , online resource.
    Ausgabe: 1st ed. 2022.
    ISBN: 9783031132803
    Serie: Springer Theses, Recognizing Outstanding Ph.D. Research,
    Inhalt: The thesis presents a systematic study of the Mpemba effect in a colloidal system with a micron-sized particle diffusing in a water bath. While the Mpemba effect, where a system's thermal relaxation time is a non-monotonic function of the initial temperature, has been observed in water since Aristotle's era, the underlying mechanism of the effect is still unknown. Recent studies indicate that the effect is not limited to water and has been studied both experimentally and numerically in a wide variety of systems. By carefully designing a double-well potential using feedback-based optical tweezers, the author demonstrates that an initially hot system can sometimes cool faster than an initially warm system. The author also presents the first observation in any system of another counterintuitive effect-the inverse Mpemba effect-where the colder of the two samples reaches the thermal equilibrium at a hot temperature first. The results for both the observations agree with theoretical predictions based on the Fokker-Planck equation. The experiments reveal that, for carefully chosen conditions, a strong version of both of the effects are observed where a system can relax to the bath temperature exponentially faster than under typical conditions.
    Anmerkung: Chapter 1. Introduction -- Chapter 2. Particle dynamics -- Chapter 3. Optical Feedback traps -- Chapter 4. Mpemba effect -- Chapter 5. Inverse Mpemba effect -- Chapter 6. Higher-order Mpemba effect -- Chapter 7. Conclusions.
    In: Springer Nature eBook
    Weitere Ausg.: Printed edition: ISBN 9783031132797
    Weitere Ausg.: Printed edition: ISBN 9783031132810
    Weitere Ausg.: Printed edition: ISBN 9783031132827
    Sprache: Englisch
    URL: Volltext  (URL des Erstveröffentlichers)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Cham, Switzerland :Springer,
    UID:
    edoccha_9960901275702883
    Umfang: 1 online resource (135 pages)
    ISBN: 9783031132803
    Serie: Springer Theses
    Anmerkung: 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.
    Weitere Ausg.: Print version: Kumar, Avinash Anomalous Relaxation in Colloidal Systems Cham : Springer International Publishing AG,c2022 ISBN 9783031132797
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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