Distribution Function - Lecture Note - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

389

Pages:

5
Author:

Jabin F.

# Distribution function:- Most probable distribution f^:- N= fixed Eme = N Σδης = Ο E= Emiti = fixed Σείδης = ο 0 B-E Statistics: H (mi+gi-1)! B-E = m!(gi-1)! Slns = 0 δλης-αεδηί-βε είδη = 0 Inr= (Mi+ gi-1)! um. = ni! (gi-1)! (Am (ni+gi-1)! - mni! - In (di-1)1) - - ni+gi-1~ni+gi; gi-1~ gi Ins = Eun (mi+Ji)! - Inni! -Ingi! = ∑(mi+gi) Im (mi+gi) - (m² +91) - nilmni +ni-gilngi. +gi) Sens = 1 Snit In mit Jijoni -nixmisni-Innisni-o) Sims = Eun (nitdi) Sni ? => ni - Bei Sni = 0 Im (mitdi)- α-βεί 0 = In nit gi ni = ατ βεί 1+ gi ni = e ατρεί gi= Ji ni e ατβεί ni gi = 1 ni gi +(EL) = ⇒ fle) = most probable distribution function. = Probability of occupancy of a State with energy E = AV No. of Particles. in a single particle state with energy E. f(6) g(E) = Density of states = No. of energy states per unit energy interval. 11E)de = No. of energy states lies in the range E to Et de (E) g(E) de = The Average no. of particles lier in the range & to Et de E+ Ef(e) g(e) de = Av. energy of the system 27 lies in the range E to Etde Sf(e) g(e) de = (Total) Av. no. of particles in the system or Total no. of particles in the system. Sef (E)g(e) de = Av. energy of the system. 16 f(t) = 6-4 eKT + + a fle) = fixed KBT = fixed as T↑→ ме 500000 Clastically stabis E= NXO=0 Ρα트 = 0 eg.N=8 fermione 76 00000 B-E statist E = 0 P = 0 F-stetishic E≠0 P≠0 Ef = M=76 Statistics BEE Statistics F-D statistics (6)= f(t) = екот -1 fle) = KOT +1 1 = UMB

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