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Supervisor's Foreword; Abstract; Preface; Contents; 1 Introduction; 1.1 Single-File Diffusion; 1.2 Stochastic Energetics; 1.3 Thesis Organization; References; 2 Basics of Single-File Diffusion; 2.1 Brownian Motion with Hard-Core Interaction; 2.1.1 ``Collisions'' of Two Particles; 2.1.2 Propagator for General N; 2.1.3 PDF of a Tagged Particle; 2.2 SFD in Homogeneous System with Constant Density; 2.2.1 Heuristic Arguments; 2.2.2 Derivation of Tracer PDF; 2.3 Comparison with SFD of N Particles; 2.3.1 Entropic Repulsive Forces; 2.3.2 Three Dynamical Regimes; 2.4 Single-File Diffusion Front.
2.5 Further ReadingReferences; 3 SFD in a Semi-Infinite System with Absorbing Boundary; 3.1 Definition of the Model; 3.2 Finite Number of Interacting Particles; 3.2.1 Single Diffusing Particle; 3.2.2 Mapping on Single-Particle Diffusion in N Dimensions; 3.2.3 PDF of a Tagged Particle; 3.2.4 First-Passage Properties; 3.2.5 Tracer Dynamics with Absorption; 3.2.6 Tracer Dynamics Conditioned on Nonabsorption; 3.3 Thermodynamic Limit; 3.3.1 Evolution of Density Profile; 3.3.2 PDF of a Tagged Particle; 3.3.3 First-Passage Properties; 3.3.4 Tracer Dynamics with Absorption.
3.3.5 Tracer Dynamics Conditioned on Nonabsorption3.4 Summarizing Remarks; References; 4 First-Passage Properties of a Tracer in a Finite Interval; 4.1 Definition of the Model; 4.2 Both Boundaries Are Absorbing; 4.2.1 Single Noninteracting Particle; 4.2.2 Fixed Initial Number of Interacting Particles; 4.2.3 Fixed Initial Density of Interacting Particles; 4.3 The Left Boundary is Absorbing, the Right Boundary is Reflecting; 4.3.1 Single Noninteracting Particle; 4.3.2 Fixed Initial Number of Particles; 4.3.3 Fixed Initial Density of Particles; 4.4 Summarizing Remarks; References.
5 Basics of Stochastic Thermodynamics5.1 Definition of Stochastic Work and Heat; 5.2 Crooks Fluctuation Theorem and Jarzynski Equality; 5.3 Further Reading; References; 6 Work Distribution in Logarithmic-Harmonic Potential; 6.1 Definition of the Model; 6.2 Solution of the Fokker-Planck Equation for Arbitrary Protocol; 6.2.1 Green Function for Logarithmic Potential; 6.2.2 Joint Green Function for Work and Position; 6.3 PDF of Particle Position and Its Long-Time Asymptotics; 6.4 Work Fluctuations; 6.4.1 Characteristic Functions; 6.4.2 Simple Example; 6.5 Summarizing Remarks; References.
7 Conclusions and OutlookAppendix A Limit Distribution of the Extreme; Appendix B Asymptotic Expansion of Conditioned PDF; Appendix C Different Driving Protocols.
2.5 Further ReadingReferences; 3 SFD in a Semi-Infinite System with Absorbing Boundary; 3.1 Definition of the Model; 3.2 Finite Number of Interacting Particles; 3.2.1 Single Diffusing Particle; 3.2.2 Mapping on Single-Particle Diffusion in N Dimensions; 3.2.3 PDF of a Tagged Particle; 3.2.4 First-Passage Properties; 3.2.5 Tracer Dynamics with Absorption; 3.2.6 Tracer Dynamics Conditioned on Nonabsorption; 3.3 Thermodynamic Limit; 3.3.1 Evolution of Density Profile; 3.3.2 PDF of a Tagged Particle; 3.3.3 First-Passage Properties; 3.3.4 Tracer Dynamics with Absorption.
3.3.5 Tracer Dynamics Conditioned on Nonabsorption3.4 Summarizing Remarks; References; 4 First-Passage Properties of a Tracer in a Finite Interval; 4.1 Definition of the Model; 4.2 Both Boundaries Are Absorbing; 4.2.1 Single Noninteracting Particle; 4.2.2 Fixed Initial Number of Interacting Particles; 4.2.3 Fixed Initial Density of Interacting Particles; 4.3 The Left Boundary is Absorbing, the Right Boundary is Reflecting; 4.3.1 Single Noninteracting Particle; 4.3.2 Fixed Initial Number of Particles; 4.3.3 Fixed Initial Density of Particles; 4.4 Summarizing Remarks; References.
5 Basics of Stochastic Thermodynamics5.1 Definition of Stochastic Work and Heat; 5.2 Crooks Fluctuation Theorem and Jarzynski Equality; 5.3 Further Reading; References; 6 Work Distribution in Logarithmic-Harmonic Potential; 6.1 Definition of the Model; 6.2 Solution of the Fokker-Planck Equation for Arbitrary Protocol; 6.2.1 Green Function for Logarithmic Potential; 6.2.2 Joint Green Function for Work and Position; 6.3 PDF of Particle Position and Its Long-Time Asymptotics; 6.4 Work Fluctuations; 6.4.1 Characteristic Functions; 6.4.2 Simple Example; 6.5 Summarizing Remarks; References.
7 Conclusions and OutlookAppendix A Limit Distribution of the Extreme; Appendix B Asymptotic Expansion of Conditioned PDF; Appendix C Different Driving Protocols.