Statistics-lab™可以为您提供cornell.edu PHYS6562 Statistical Physics统计物理的代写代考和辅导服务！
PHYS6562 Statistical Physics课程简介
The course presumes a high level of sophistication, equivalent to but not necessarily the same as that of a first-year physics graduate student (undergrad-level quantum, classical mechanics, and thermodynamics). Only a small portion of the course (roughly one and a half weeks) will demand a knowledge of quantum mechanics; students with no quantum background have found the rest of the course comprehensible and useful, if challenging. Primarily for graduate students.
PREREQUISITES
The course presumes a high level of sophistication, equivalent to but not necessarily the same as that of a first-year physics graduate student (undergrad-level quantum, classical mechanics, and thermodynamics). Only a small portion of the course (roughly one and a half weeks) will demand a knowledge of quantum mechanics; students with no quantum background have found the rest of the course comprehensible and useful, if challenging. Primarily for graduate students.
J. Sethna.
A broad, graduate level view of statistical mechanics, with applications to not only physics and chemistry, but to computation, mathematics, dynamical and complex systems, and biology. Some traditional focus areas will not be covered in detail (thermodynamics, phase diagrams, perturbative methods, interacting gasses and liquids).
PHYS6562 Statistical Physics HELP（EXAM HELP， ONLINE TUTOR）
A dynamical state of a biopolymer undergoes transition between two states 1 and 2 , with rates given by $R_{1 \rightarrow 2}=C e^{-\Delta f_{12} / k_6 T}$ and $R_{2 \rightarrow 1}=C e^{-\Delta f_{21} / k_B T}$, where $\Delta f_{i j}$ is the free energy barrier for the transitions. Suppose that $\Delta f_{12}=\Delta e-T \Delta s, \Delta f_{21}=$ De where $\Delta e>0$ and $\Delta s$ is the internal energy and entropy changes that are independent of temperature T. Apply a weak oscillating force of the frequency $\omega$ that couples with the reaction coordinate. If the force induces a stochastic resonance, what is the optimal value for the noise strength $k_B T$ ? How does it depend on the entropy changes $\Delta s$ ?
Show that the pressure of a stationary ideal gas satisfying $p_0=\rho k_B T / \mathrm{m}$ at $x$ under a uniform gravity $g$ along the $x$-axis is given by
$$
p(x)=p_0 \exp \left(-m g x /\left(k_B T\right)\right)
$$
A flexible polymer is anchored on planar surface at one end is subject to a Couette flow with a shear rate $\dot{\gamma}$, as shown in the figure below. Study the conformation of the chain in a steady state by finding (i) the mean square of EED $\left\langle\boldsymbol{R}^2\right\rangle$. where the average is taken over the steady state. (ii) Find $\langle\boldsymbol{r}(s, t)\rangle$.
Use the scaling argument above to show that the $C M$ diffusion constant and EED relaxation time for the chain in good solvents with $R_g \sim N^v$ are given by
$$
D_c \sim N^{-v} \quad \text { and } \quad \tau_Z \sim N^{3 v}
$$
Textbooks
• An Introduction to Stochastic Modeling, Fourth Edition by Pinsky and Karlin (freely
available through the university library here)
• Essentials of Stochastic Processes, Third Edition by Durrett (freely available through
the university library here)
To reiterate, the textbooks are freely available through the university library. Note that
you must be connected to the university Wi-Fi or VPN to access the ebooks from the library
links. Furthermore, the library links take some time to populate, so do not be alarmed if
the webpage looks bare for a few seconds.
Statistics-lab™可以为您提供cornell.edu PHYS6562 Statistical Physics统计物理的代写代考和辅导服务！ 请认准Statistics-lab™. Statistics-lab™为您的留学生涯保驾护航。